Physical Sciences / Physics -- New results matching your topic search. https://www.pnas.org/action/doSearch?af=R Proceedings of the National Academy of Sciences: Physics Proceedings of the National Academy of Sciences en-US http://www.atypon.com/images/atypon_logo_small.gif http://www.atypon.com https://www.pnas.org/doi/abs/10.1073/pnas.2538081123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 24, June 2026. <br/>SignificanceQuantum chaos plays a central role in mesoscopic physics, quantum information, and wavefunction engineering, yet solid-state platforms that allow continuous control of chaotic dynamics have been lacking. Bilayer graphene cavities provide a ... Shaping chaos in bilayer graphene cavities doi:10.1073/pnas.2538081123 2026-06-08T07:00:00Z Jucheng LinYicheng ZhuangAnton M. GrafEric J. HellerJoonas Keski-Rahkonenahttps://ror.org/03vek6s52Department of Physics, Harvard University, Cambridge, MA 02138bhttps://ror.org/03vek6s52Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138chttps://ror.org/0220qvk04Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, Chinadhttps://ror.org/02v51f717Department of Physics, School of Physics, Peking University, Beijing 100871, Chinaehttps://ror.org/03vek6s52Department of Applied Mathematics, Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138 Proceedings of the National Academy of Sciences 123 24 2026-06-16T07:00:00Z 2026-06-16T07:00:00Z 10.1073/pnas.2538081123 https://www.pnas.org/doi/abs/10.1073/pnas.2538081123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2602209123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 24, June 2026. <br/>SignificanceIn iron-based superconductors, thedz2orbital band lies deep below the Fermi energy and is conventionally excluded from the superconducting pairing process. This work overturns this view. Using a scanning tunneling microscope tip to apply ... Dual enhancement of superconductivity in FeSe/SrTiO3 via orbital and correlation synergy doi:10.1073/pnas.2602209123 2026-06-09T07:00:00Z Guihao JiaJingming YanYucong PengShendong SuPei OuyangXiaopeng HuQi-Kun XueWei Liahttps://ror.org/03cve4549State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, ChinabFrontier Science Center for Quantum Information, Beijing 100084, Chinachttps://ror.org/04nqf9k60Beijing Academy of Quantum Information Sciences, Beijing 100193, Chinadhttps://ror.org/049tv2d57Southern University of Science and Technology, Shenzhen 518055, ChinaeHefei National Laboratory, Hefei 230088, China Proceedings of the National Academy of Sciences 123 24 2026-06-16T07:00:00Z 2026-06-16T07:00:00Z 10.1073/pnas.2602209123 https://www.pnas.org/doi/abs/10.1073/pnas.2602209123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2528457123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 23, June 2026. <br/>SignificanceGlasses are ubiquitous, yet their microscopic mechanism remains unidentified. A key hypothesis is that supercooled liquids evolve into glasses through spatiotemporal dynamical heterogeneity i.e. transitory local fluctuations in the ... Discovery of dynamical heterogeneity in a supercooled magnetic monopole fluid doi:10.1073/pnas.2528457123 2026-06-05T07:00:00Z Jahnatta DasiniChaia CarrollJack MurphyCatherine DawsonHiroto TakahashiSudarshan SharmaFabian JerzembeckStephen J. BlundellGraeme M. LukeJ. C. Séamus DavisJonathan Wardahttps://ror.org/03265fv13Department of Physics, University College Cork, Cork T12 R5C, Irelandbhttps://ror.org/052gg0110Clarendon Laboratory, Oxford University, Oxford OX1 3PU, United Kingdomchttps://ror.org/02fa3aq29Department of Physics, McMaster University, Hamilton, ON L8S 4L8, Canadadhttps://ror.org/01c997669Max-Planck Institute for Chemical Physics of Solids, Dresden D-01187, Germany Proceedings of the National Academy of Sciences 123 23 2026-06-09T07:00:00Z 2026-06-09T07:00:00Z 10.1073/pnas.2528457123 https://www.pnas.org/doi/abs/10.1073/pnas.2528457123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2532550123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 23, June 2026. <br/>SignificanceMultilayer graphene moiré systems have revealed rich correlated and topological quantum phases, yet twisted transition metal dichalcogenides have been studied mainly as bilayer. Here we show that adding more layers changes the underlying ... Layerwise stratification and band reordering in twisted multilayer MoTe2 doi:10.1073/pnas.2532550123 2026-06-02T07:00:00Z Yueyao FanXiao-Wei ZhangYusen YeXiaoyu LiuChong WangKaijie YangDi XiaoTing Caoahttps://ror.org/00cvxb145Department of Materials Science and Engineering, University of Washington, Seattle, WA 98195bhttps://ror.org/00cvxb145Department of Physics, University of Washington, Seattle, WA 98195 Proceedings of the National Academy of Sciences 123 23 2026-06-09T07:00:00Z 2026-06-09T07:00:00Z 10.1073/pnas.2532550123 https://www.pnas.org/doi/abs/10.1073/pnas.2532550123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2601093123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 23, June 2026. <br/>SignificanceTopological quantum phases often support robust states at the boundaries of ordered domains, while more conventional phases arise from symmetry breaking and have very different domain structures. Chiral spin liquids combine both types of order,... Structure of domain walls in chiral spin liquids doi:10.1073/pnas.2601093123 2026-06-04T07:00:00Z Yan-Qi WangChunxiao LiuJoel E. Mooreahttps://ror.org/01an7q238Department of Physics, University of California, Berkeley, CA 94720bhttps://ror.org/02jbv0t02Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 Proceedings of the National Academy of Sciences 123 23 2026-06-09T07:00:00Z 2026-06-09T07:00:00Z 10.1073/pnas.2601093123 https://www.pnas.org/doi/abs/10.1073/pnas.2601093123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2608226123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 23, June 2026. <br/> Navigating the unknown: Nanobubbles and the hidden complexity of aerophilic surfaces doi:10.1073/pnas.2608226123 2026-06-01T07:00:00Z Junhong Lüahttps://ror.org/01rp41m56School of Pharmacy, Key Laboratory of Molecular Pharmacology and Drug Evaluation, Ministry of Education, Yantai University, Yantai 264005, China Proceedings of the National Academy of Sciences 123 23 2026-06-09T07:00:00Z 2026-06-09T07:00:00Z 10.1073/pnas.2608226123 https://www.pnas.org/doi/abs/10.1073/pnas.2608226123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2609740123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 23, June 2026. <br/> Reply to Lü: Aerophilic interfaces across scales doi:10.1073/pnas.2609740123 2026-06-01T07:00:00Z Bert J. C. VandereydtSaurabh NathKripa K. Varanasiahttps://ror.org/042nb2s44Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139bhttps://ror.org/00b30xv10Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104 Proceedings of the National Academy of Sciences 123 23 2026-06-09T07:00:00Z 2026-06-09T07:00:00Z 10.1073/pnas.2609740123 https://www.pnas.org/doi/abs/10.1073/pnas.2609740123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2529694123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 22, June 2026. <br/>SignificanceMonitored quantum dynamics underpin emerging quantum technologies. This work shows that, in many-body systems, recurrence time—the duration required for the initial state to be first detected again—is fractionally quantized by topology. ... Fractionally quantized recurrence detection times in monitored quantum many-body systems doi:10.1073/pnas.2529694123 2026-05-29T07:00:00Z Quancheng LiuSabine TornowDavid A. KesslerEli Barkaiahttps://ror.org/03kgsv495Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israelbhttps://ror.org/03kgsv495Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israelchttps://ror.org/05kkv3f82Department of Computer Science, Research Institute CODE (Cyber Defence), University of the Bundeswehr Munich, Munich 81739, Germany Proceedings of the National Academy of Sciences 123 22 2026-06-02T07:00:00Z 2026-06-02T07:00:00Z 10.1073/pnas.2529694123 https://www.pnas.org/doi/abs/10.1073/pnas.2529694123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2604142123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 22, June 2026. <br/>SignificancePair density waves are an unusual form of superconductivity in which the superconducting order varies periodically in space, but phase-sensitive evidence for their microscopic nature has remained limited. Here, we use normal and Josephson ... Phase-sensitive evidence for pair density waves in a kagome superconductor doi:10.1073/pnas.2604142123 2026-05-27T07:00:00Z Xiao-Yu YanGuowei LiuHanbin DengXitong XuHaiyang MaHailang QinJunyi ZhangYuanyuan ZhaoXiuhao FanWei SongMuwei GaoHaitian ZhaoZhe QuYigui ZhongKozo OkazakiXiquan ZhengYingying PengZurab GuguchiaXianxin WuDa WangQiang-Hua WangHendrik HohmannMatteo DürrnagelRonny ThomaleJia-Xin Yinahttps://ror.org/049tv2d57State Key Laboratory of Quantum Functional Materials, Department of Physics, and Guangdong Basic Research Center of Excellence for Quantum Science, Southern University of Science and Technology, Shenzhen 518055, ChinabQuantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area, Shenzhen 518045, Chinad William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218chttps://ror.org/034t30j35Anhui Key Laboratory of Low-Energy Quantum Materials and Devices, High Magnetic Field Laboratory (CHMFL), Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, Chinadhttps://ror.org/00za53h95William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218ehttps://ror.org/057zh3y96Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japanfhttps://ror.org/02v51f717International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, ChinagPSI Center for Neutron and Muon Sciences, Villigen PSI 5232, Switzerlandhhttps://ror.org/034t30j35Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, Chinaihttps://ror.org/01rxvg760National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, Chinajhttps://ror.org/00fbnyb24Institute for Theoretical Physics and Astrophysics, University of Würzburg, Würzburg 97074, Germanykhttps://ror.org/05a28rw58Institute for Theoretical Physics, ETH Zürich, Zürich 8093, Switzerland Proceedings of the National Academy of Sciences 123 22 2026-06-02T07:00:00Z 2026-06-02T07:00:00Z 10.1073/pnas.2604142123 https://www.pnas.org/doi/abs/10.1073/pnas.2604142123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2525792123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 21, May 2026. <br/>SignificanceIn resistor networks, physics computes voltages at selected output nodes automatically and rapidly by exploiting Kirchhoff’s laws when voltages are applied at input nodes. Such networks have been harnessed for autonomous supervised learning, ... Unsupervised and probabilistic learning with Contrastive Local Learning Networks: The Restricted Kirchhoff Machine doi:10.1073/pnas.2525792123 2026-05-21T07:00:00Z Marcelo GuzmanSimone CiarellaAndrea J. LiuaDepartment of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104bNetherlands eScience Center, Amsterdam, 1098 XG, The NetherlandscLaboratoire de Physique de l’Ecole Normale Supérieure, École Normale Supérieure, Université Paris Sciences et Lettres, CNRS, Sorbonne Université, Université de Paris, Paris F-75005, FrancedSanta Fe Institute, Santa Fe, NM 87501 Proceedings of the National Academy of Sciences 123 21 2026-05-26T07:00:00Z 2026-05-26T07:00:00Z 10.1073/pnas.2525792123 https://www.pnas.org/doi/abs/10.1073/pnas.2525792123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2528693123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 21, May 2026. <br/>SignificanceTopological defects such as vortex lines and solitons represent fundamental excitations in condensed matter systems, yet controlling the transition between these distinct topological objects has remained a significant challenge. This work ... Dynamic creation of topological solitons via nematic vortex lines doi:10.1073/pnas.2528693123 2026-05-19T07:00:00Z Xinda ZhengJing ZhangWentao TangZhawure AsilehanZijun ChenJinghua JiangRui ZhangChenhui PengaDepartment of Physics, University of Science and Technology of China, Hefei, Anhui 230026, ChinabDepartment of Physics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China Proceedings of the National Academy of Sciences 123 21 2026-05-26T07:00:00Z 2026-05-26T07:00:00Z 10.1073/pnas.2528693123 https://www.pnas.org/doi/abs/10.1073/pnas.2528693123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2536341123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 21, May 2026. <br/>SignificanceChiral bound states in the continuum (BICs) with infinite quality factor and chiral response have recently sparked significant interest across both fundamental and applied physics. Here, we report an experimental observation of magnetically ... Observation of chiral bound states in the continuum in self-biased magneto-optical photonic crystals doi:10.1073/pnas.2536341123 2026-05-21T07:00:00Z Maohua GongQiutong ZhenYujie TangPeng HuQing-An TuYan MengPeiheng ZhouZhen GaoaState Key Laboratory of Optical Fiber and Cable Manufacturing Technology, Department of Electronic and Electrical Engineering, Guangdong Key Laboratory of Integrated Optoelectronics Intellisense, Southern University of Science and Technology, Shenzhen 518055, ChinabNational Engineering Research Center of Electromagnetic Radiation Control Materials, State Key Laboratory of Electronic Thin Film and Integrated Devices, School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, ChinacSchool of Physics and New Energy, Chongqing University of Technology, Chongqing 400054, ChinadMarine Science and Technology Domain, Beijing Institute of Technology, Zhuhai 519088, China Proceedings of the National Academy of Sciences 123 21 2026-05-26T07:00:00Z 2026-05-26T07:00:00Z 10.1073/pnas.2536341123 https://www.pnas.org/doi/abs/10.1073/pnas.2536341123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2604848123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 21, May 2026. <br/>SignificanceCells and organelles often contain filamentous structures that actively interact with their soft, flexible boundaries, creating a dynamic, bidirectional coupling between internal organization and membrane morphology. To explore this coupling ... Dynamic bidirectional coupling of membrane morphology and rod organization in flexible vesicles doi:10.1073/pnas.2604848123 2026-05-20T07:00:00Z Stijn van der HamAndré F. V. MatiasMarjolein DijkstraHanumantha Rao Vutukuriahttps://ror.org/006hf6230Active Soft Matter and Bio-inspired Materials Lab, Faculty of Science and Technology, MESA+ Institute, University of Twente, Enschede 7500 AE, The Netherlandsbhttps://ror.org/04pp8hn57Soft Condensed Matter and Biophysics, Debye Institute for Nanomaterials Science, Utrecht University, Utrecht 3584 CC, The Netherlands Proceedings of the National Academy of Sciences 123 21 2026-05-26T07:00:00Z 2026-05-26T07:00:00Z 10.1073/pnas.2604848123 https://www.pnas.org/doi/abs/10.1073/pnas.2604848123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2605545123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 21, May 2026. <br/>SignificanceComputational methods for reliably determining the structures of hydrogen-rich materials are important for designing materials in energy technologies ranging from hydrogen storage to superconductivity. Standard computational methods struggle ... Capturing nuclear quantum effects in high-pressure superconducting hydrides and ice with nuclear–electronic orbital theory doi:10.1073/pnas.2605545123 2026-05-21T07:00:00Z Logan E. SmithPaolo SettembriAlessio CucciariLilia BoeriGianni ProfetaSharon Hammes-SchifferaDepartment of Chemistry, Princeton University, Princeton, NJ 08544bPSI Center for Scientific Computing, Theory and Data, Paul Scherrer Institute, Villigen PSI 5232, SwitzerlandcDepartment of Physical and Chemical Sciences, University of L’Aquila, L’Aquila 67100, ItalydDipartimento di Fisica, Sapienza - Università di Roma, Roma 00185, ItalyeCNR-SPIN L’Aquila, L’Aquila 67100, Italy Proceedings of the National Academy of Sciences 123 21 2026-05-26T07:00:00Z 2026-05-26T07:00:00Z 10.1073/pnas.2605545123 https://www.pnas.org/doi/abs/10.1073/pnas.2605545123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2536919123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 20, May 2026. <br/>SignificanceFor decades, it has been a puzzle why praseodymium—unlike other rare earth substitutions—so effectively suppresses superconductivity in YBa2Cu3O7−δ. Prevailing theories attributed this to a 4f–2phybridization effect depleting holes on the CuO2... Superconductivity suppression and bilayer decoupling in Pr-substituted YBa2Cu3O7−δ doi:10.1073/pnas.2536919123 2026-05-13T07:00:00Z Jinming YangZheting JinSiqi WangCamilla M. MoirMingyu XuBrandon GunnRourav BasakJoshua R. EvansXian DuZhibo KangKeke FengMakoto HashimotoDonghui LuJessica L. McChesneyMartin SundermannHlynur GretarssonShize YangWeiwei XieAlex FranoSohrab Ismail-BeigiM. Brian MapleYu HeaDepartment of Physics, Yale University, New Haven, CT 06511bDepartment of Applied Physics, Yale University, New Haven, CT 06511cDepartment of Physics, University of California, San Diego, CA 92093dDepartment of Chemistry, Michigan State University, East Lansing, MI 48824eStanford Synchrotron Radiation Lightsource, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA 94025fAdvanced Photon Source, Argonne National Laboratory, Lemont, IL 60439gPETRA III, Deutsches Elektronen-Synchrotron, Hamburg 22607, GermanyhMax Planck Institute for Chemical Physics of Solids, Dresden 01187, GermanyiAberration Corrected Electron Microscopy Core, Yale University, West Haven, CT 06516 Proceedings of the National Academy of Sciences 123 20 2026-05-19T07:00:00Z 2026-05-19T07:00:00Z 10.1073/pnas.2536919123 https://www.pnas.org/doi/abs/10.1073/pnas.2536919123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2534768123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 19, May 2026. <br/>SignificanceIn this work, we address a question that has attracted intense interest in recent years: whether machine learning-assisted algorithms can genuinely outperform classical approaches in challenging combinatorial optimization problems. While ... Demonstrating real advantage of machine learning–enhanced Monte Carlo for combinatorial optimization doi:10.1073/pnas.2534768123 2026-05-08T07:00:00Z Luca Maria Del BonoFederico Ricci-TersenghiFrancesco Zamponiahttps://ror.org/02be6w209Dipartimento di Fisica, Sapienza Università di Roma, Rome 00185, Italybhttps://ror.org/00bc51d88CNR-Nanotec, Rome unit, Rome 00185, ItalycIstituto Nazionale di Fisica Nucleare, sezione di Roma1, Rome 00185, Italy Proceedings of the National Academy of Sciences 123 19 2026-05-12T07:00:00Z 2026-05-12T07:00:00Z 10.1073/pnas.2534768123 https://www.pnas.org/doi/abs/10.1073/pnas.2534768123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2604438123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 19, May 2026. <br/>SignificancePhysical conditions at the Moon’s permanently shadowed regions are ideal for constructing an ultrastable optical resonator. This passively cooled optical cavity will stabilize a laser with unprecedentedly long phase coherence time, surpassing ... Lunar silicon cavity doi:10.1073/pnas.2604438123 2026-05-08T07:00:00Z Jun YeZoey Z. HuBen LewisWei ZhangFritz RiehleUwe SterrYiqi NiJulian StruckaJILA, National Institute of Standards and Technology and University of Colorado, Boulder, CO 80309bJet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109cPhysikalisch-Technische Bundesanstalt, Braunschweig 38116, GermanydLunetronic Inc., San Francisco, CA 94109 Proceedings of the National Academy of Sciences 123 19 2026-05-12T07:00:00Z 2026-05-12T07:00:00Z 10.1073/pnas.2604438123 https://www.pnas.org/doi/abs/10.1073/pnas.2604438123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2530546123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 18, May 2026. <br/>SignificanceHow do extremely soft objects respond to crowding? The present work answers this fundamental question by examining the case of ultra-low-crosslinked (ULC) microgels, among the softest colloidal particles experimentally available. Performing ... Unexpected behavior of ultra-low-crosslinked microgels in crowded conditions doi:10.1073/pnas.2530546123 2026-04-27T07:00:00Z Susana Marín-AguilarEmanuela ZaccarelliaDepartment of Physics, Sapienza University of Rome, Roma 00185, ItalybConsiglio Nazionale delle Ricerche, Institute of Complex Systems, Uos Sapienza, Rome 00185, Italy Proceedings of the National Academy of Sciences 123 18 2026-05-05T07:00:00Z 2026-05-05T07:00:00Z 10.1073/pnas.2530546123 https://www.pnas.org/doi/abs/10.1073/pnas.2530546123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2603475123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 18, May 2026. <br/>SignificanceMaterials that can efficiently couple electric and magnetic properties are central to next-generation, low-power information technologies, yet such behavior rarely persists at room temperature in a single phase. Here, a distinct tetragonal ... Strong intrinsic multiferroism and magnetoelectric coupling in (1–x)BiFeO3–(x)BaTiO3 films doi:10.1073/pnas.2603475123 2026-04-28T07:00:00Z Tae Yeon KimJesse SchimpfAtanu PaulMichael XuAtanu SamantaSajid HusainPeter MeisenheimerIsaac HarrisPeter FinkelThomas MionMargo StaruchAnthony J. RuffinoStefan MasiukLiyan WuTae Joon ParkDeokyoung KangChristoph KlewePaul StevensonRamamoorthy RameshAndrew M. RappeJames M. LeBeauJonathan E. SpanierIlya GrinbergLane W. MartinaDepartment of Materials Science and NanoEngineering, Rice University, Houston, TX 77005bRice Advanced Materials Institute, Rice University, Houston, TX 77005cDepartment of Materials Science and Engineering, University of California, Berkeley, CA 94720dDepartment of Chemistry, Bar-Ilan University, Ramat Gan 5290002, IsraeleDepartment of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139fDepartment of Chemistry, University of Pennsylvania, Philadelphia, PA 19104gMaterials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720hDepartment of Physics, University of California, Berkeley, CA 94720iMaterials Science and Technology Division, United States Naval Research Laboratory, Washington, DC 02375jDepartment of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104kDepartment of Physics, Drexel University, Philadelphia, PA 19104lDepartment of Materials Science and Engineering, Korea University, Seoul 02841, Republic of KoreamDepartment of Physics, Northeastern University, Boston, MA 02115nDepartment of Physics and Astronomy, Rice University, Houston, TX 77005oDepartment of Chemistry, Rice University, Houston, TX 77005 Proceedings of the National Academy of Sciences 123 18 2026-05-05T07:00:00Z 2026-05-05T07:00:00Z 10.1073/pnas.2603475123 https://www.pnas.org/doi/abs/10.1073/pnas.2603475123?af=R https://www.pnas.org/doi/abs/10.1073/pnas.2606117123?af=R Proceedings of the National Academy of Sciences, Volume 123, Issue 18, May 2026. <br/>SignificanceThe hole-doped cuprate superconductors have the highest critical temperatures under ambient pressure among all known materials. These materials are also unique in having a “pseudogap” metal phase above the critical temperature, suggesting a ... Thermal SU(2) lattice gauge theory for intertwined orders and hole pockets in the cuprates doi:10.1073/pnas.2606117123 2026-04-29T07:00:00Z Harshit PandeyMaine ChristosPietro M. BonettiRavi ShankerSayantan SharmaSubir SachdevaThe Institute of Mathematical Sciences, Chennai 600113, IndiabHomi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, IndiacDepartment of Physics, Harvard University, Cambridge, MA MA-02138dDepartment of Physics, Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA 91125eMax Planck Institute for Solid State Research, Stuttgart D-70569, GermanyfCenter for Computational Quantum Physics, Flatiron Institute, New York, NY 10010gThe Abdus Salam International Centre for Theoretical Physics, Trieste I-34151, Italy Proceedings of the National Academy of Sciences 123 18 2026-05-05T07:00:00Z 2026-05-05T07:00:00Z 10.1073/pnas.2606117123 https://www.pnas.org/doi/abs/10.1073/pnas.2606117123?af=R