Impurity effects on local electronic structure of twisted bilayer cuprates

Xie, T. Y.; Zhu, W.; Zhu, Jian-Xin

doi:10.1103/physrevb.110.134514

Title: Impurity effects on local electronic structure of twisted bilayer cuprates

Journal Article · 11 October 2024 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.110.134514 · OSTI ID:2475605

^[1]; Zhu, W. ^[2];

^[3]

Zhejiang Univ., Hangzhou (China)
Westlake Univ., Hangzhou (China)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

It has been recently proposed that a fully gapped d-wave superconducting phase emerges in twisted bilayer cuprates when twist angle is in the vicinity of 45°. By considering a twisted bilayer model with a moiré cell, we study the local electronic structure around a single-site impurity and impurity dimer in both topologically trivial and nontrivial superconducting states. Here we find that the topological nontrivial superconducting phase is robust against single scalar-potential impurity scattering but is very sensitive to the interlayer impurity dimer scattering, which avoids and enforces the creation of the subgap quasiparticle state. This behavior is intrinsic to the bilayer structure and topological nature, in contrast to the other types of impurities that inevitably bring subgap quasiparticle states. We expect that our results can contribute to the understanding of electronic properties of twisted bilayer cuprates systems.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2475605

Report Number(s):: LA-UR--24-22121

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 13 Vol. 110; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (66)

Encapsulating High‐Temperature Superconducting Twisted van der Waals Heterostructures Blocks Detrimental Effects of Disorder Lee, Yejin; Martini, Mickey; Confalone, Tommaso Advanced Materials https://doi.org/10.1002/adma.202209135	journal	January 2023
Bogoliubov-de Gennes Method and Its Applications Zhu, Jian-Xin Lecture Notes in Physics https://doi.org/10.1007/978-3-319-31314-6	book	January 2016
Impurity- and magnetic-field-induced quasiparticle states in chiral p-wave superconductors Guo, Yao-Wu; Li, Wei; Chen, Yan Frontiers of Physics, Vol. 12, Issue 5 https://doi.org/10.1007/s11467-017-0683-9	journal	May 2017
Theory of dirty superconductors Anderson, P. W. Journal of Physics and Chemistry of Solids, Vol. 11, Issue 1-2 https://doi.org/10.1016/0022-3697(59)90036-8	journal	September 1959
Effect of spin–orbit impurity scattering in d-wave superconductors Kuboki, Kazuhiro; Yagi, Toshifumi Journal of Magnetism and Magnetic Materials, Vol. 226-230 https://doi.org/10.1016/S0304-8853(00)00813-1	journal	May 2001
Local structure of impurity states in d-wave superconductors Martin, Ivar; Balatsky, A. V. Physica C: Superconductivity, Vol. 341-348 https://doi.org/10.1016/S0921-4534(00)00412-3	journal	November 2000
Twisted cuprate van der Waals heterostructures with controlled Josephson coupling Martini, Mickey; Lee, Yejin; Confalone, Tommaso Materials Today, Vol. 67 https://doi.org/10.1016/j.mattod.2023.06.007	journal	July 2023
Modulations of orders around magnetic impurities in high-temperature superconductors Zha, Guo-Qiao; Wang, Jing-Chao; Jin, Li-Jing Solid State Communications, Vol. 150, Issue 35-36 https://doi.org/10.1016/j.ssc.2010.06.048	journal	September 2010
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Demir, Ahmet Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26154	journal	March 2018
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted graphene systems Liu, Jianpeng; Dai, Xi npj Computational Materials, Vol. 6, Issue 1 https://doi.org/10.1038/s41524-020-0299-4	journal	May 2020
Chern insulators, van Hove singularities and topological flat bands in magic-angle twisted bilayer graphene Wu, Shuang; Zhang, Zhenyuan; Watanabe, K. Nature Materials, Vol. 20, Issue 4 https://doi.org/10.1038/s41563-020-00911-2	journal	February 2021
Correlated electronic phases in twisted bilayer transition metal dichalcogenides Wang, Lei; Shih, En-Min; Ghiotto, Augusto Nature Materials, Vol. 19, Issue 8 https://doi.org/10.1038/s41563-020-0708-6	journal	June 2020
High-temperature topological superconductivity in twisted double-layer copper oxides Can, Oguzhan; Tummuru, Tarun; Day, Ryan P. Nature Physics, Vol. 17, Issue 4 https://doi.org/10.1038/s41567-020-01142-7	journal	February 2021
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene Lu, Xiaobo; Stepanov, Petr; Yang, Wei Nature, Vol. 574, Issue 7780 https://doi.org/10.1038/s41586-019-1695-0	journal	October 2019
High-temperature superconductivity in monolayer Bi2Sr2CaCu2O8+δ Yu, Yijun; Ma, Liguo; Cai, Peng Nature, Vol. 575, Issue 7781 https://doi.org/10.1038/s41586-019-1718-x	journal	October 2019
Strongly correlated Chern insulators in magic-angle twisted bilayer graphene Nuckolls, Kevin P.; Oh, Myungchul; Wong, Dillon Nature, Vol. 588, Issue 7839 https://doi.org/10.1038/s41586-020-3028-8	journal	December 2020
Signatures of fractional quantum anomalous Hall states in twisted MoTe2 Cai, Jiaqi; Anderson, Eric; Wang, Chong Nature, Vol. 622, Issue 7981 https://doi.org/10.1038/s41586-023-06289-w	journal	June 2023
Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling Löthman, Tomas; Schmidt, Johann; Parhizgar, Fariborz Communications Physics, Vol. 5, Issue 1 https://doi.org/10.1038/s42005-022-00860-z	journal	April 2022
Interaction effects and superconductivity signatures in twisted double-bilayer WSe ₂ An, Liheng; Cai, Xiangbin; Pei, Ding Nanoscale Horizons, Vol. 5, Issue 9 https://doi.org/10.1039/D0NH00248H	journal	January 2020
Correlated insulating phases in the twisted bilayer graphene* Liao, Yuan-Da; Xu, Xiao-Yan; Meng, Zi-Yang Chinese Physics B, Vol. 30, Issue 1 https://doi.org/10.1088/1674-1056/abcfa3	journal	January 2021
Josephson effects in twisted cuprate bilayers Tummuru, Tarun; Plugge, Stephan; Franz, Marcel Physical Review B, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevB.105.064501	journal	February 2022
Doping phase diagram of a Hubbard model for twisted bilayer cuprates Lu, Xiancong; Sénéchal, D. Physical Review B, Vol. 105, Issue 24 https://doi.org/10.1103/PhysRevB.105.245127	journal	June 2022
Doping a moiré Mott insulator: A t−J model study of twisted cuprates Song, Xue-Yang; Zhang, Ya-Hui; Vishwanath, Ashvin Physical Review B, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevB.105.L201102	journal	May 2022
Twisted multilayer nodal superconductors Tummuru, Tarun; Lantagne-Hurtubise, Étienne; Franz, Marcel Physical Review B, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevB.106.014520	journal	July 2022
Chiral Majorana modes via proximity to a twisted cuprate bilayer Margalit, Gilad; Yan, Binghai; Franz, Marcel Physical Review B, Vol. 106, Issue 20 https://doi.org/10.1103/PhysRevB.106.205424	journal	November 2022
Bound states around impurities in a superconducting bilayer Zhu, Yufei; Hackner, Nico A.; Brydon, P. M. R. Physical Review B, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevB.107.134514	journal	April 2023
Magic angles and correlations in twisted nodal superconductors Volkov, Pavel A.; Wilson, Justin H.; Lucht, Kevin P. Physical Review B, Vol. 107, Issue 17 https://doi.org/10.1103/PhysRevB.107.174506	journal	May 2023
High-temperature Majorana corner modes in a d+id′ superconductor heterostructure: Application to twisted bilayer cuprate superconductors Li, Yu-Xuan; Liu, Cheng-Cheng Physical Review B, Vol. 107, Issue 23 https://doi.org/10.1103/PhysRevB.107.235125	journal	June 2023
Impurity and vortex states in the bilayer high-temperature superconductor La3Ni2O7 Huang, Junkang; Wang, Z. D.; Zhou, Tao Physical Review B, Vol. 108, Issue 17 https://doi.org/10.1103/PhysRevB.108.174501	journal	November 2023
Inhomogeneity-induced time-reversal symmetry breaking in cuprate twist junctions Yuan, Andrew C.; Vituri, Yaar; Berg, Erez Physical Review B, Vol. 108, Issue 10 https://doi.org/10.1103/PhysRevB.108.L100505	journal	September 2023
Doping dependence of chiral superconductivity in near 45∘ twisted bilayer cuprates Bélanger, Mathieu; Sénéchal, David Physical Review B, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevB.109.045111	journal	January 2024
Impurity scattering and localization in d -wave superconductors Franz, M.; Kallin, C.; Berlinsky, A. J. Physical Review B, Vol. 54, Issue 10 https://doi.org/10.1103/PhysRevB.54.R6897	journal	September 1996
Spectral properties of quasiparticle excitations induced by magnetic moments in superconductors Salkola, M. I.; Balatsky, A. V.; Schrieffer, J. R. Physical Review B, Vol. 55, Issue 18 https://doi.org/10.1103/PhysRevB.55.12648	journal	May 1997
Magnetic impurities ind-wave superconductors Simon, M. E.; Varma, C. M. Physical Review B, Vol. 60, Issue 13 https://doi.org/10.1103/PhysRevB.60.9744	journal	October 1999
Quasiparticle resonant states induced by a unitary impurity in a d -wave superconductor Zhu, Jian-Xin; Lee, T. K.; Ting, C. S. Physical Review B, Vol. 61, Issue 13 https://doi.org/10.1103/PhysRevB.61.8667	journal	April 2000
Local quasiparticle states around an Anderson impurity in ad-wave superconductor: Kondo effects Zhu, Jian-Xin; Ting, C. S. Physical Review B, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevB.63.020506	journal	December 2000
Local quasiparticle states near a Zn impurity with induced magnetic moment in a high-Tcsuperconductor Zhu, Jian-Xin; Ting, C. S. Physical Review B, Vol. 64, Issue 6 https://doi.org/10.1103/PhysRevB.64.060501	journal	July 2001
Local magnetic moments around a nonmagnetic impurity in the two-dimensional t-J model Tsuchiura, Hiroki; Tanaka, Yukio; Ogata, Masao Physical Review B, Vol. 64, Issue 14 https://doi.org/10.1103/PhysRevB.64.140501	journal	September 2001
Zeeman effects on the impurity-induced resonances ind-wave superconductors Grimaldi, Claudio Physical Review B, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevB.65.094502	journal	January 2002
Single impurity effects in the mixed state ofd-wave superconductors Zhu, Jian-Xin; Ting, C. S.; Balatsky, A. V. Physical Review B, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevB.66.064509	journal	August 2002
Interplay of quantum magnetic and potential scattering around Zn and Ni impurity ions in superconducting cuprates Zhang, Guang-Ming; Hu, Hui; Yu, Lu Physical Review B, Vol. 66, Issue 10 https://doi.org/10.1103/PhysRevB.66.104511	journal	September 2002
Impurity and interface bound states indx2−y2+idxyandpx+ipysuperconductors Wang, Qiang-Hua; Wang, Z. D. Physical Review B, Vol. 69, Issue 9 https://doi.org/10.1103/PhysRevB.69.092502	journal	March 2004
Electronic structure and spontaneous internal field around nonmagnetic impurities in spin-triplet chiralp-wave superconductors Takigawa, Mitsuaki; Ichioka, Masanori; Kuroki, Kazuhiko Physical Review B, Vol. 72, Issue 22 https://doi.org/10.1103/PhysRevB.72.224501	journal	December 2005
Quasiparticle resonance states around a magnetic impurity in a two-dimensionalf-wave superconductor Zuo, Xian-Jun; An, Jin; Gong, Chang-De Physical Review B, Vol. 77, Issue 14 https://doi.org/10.1103/PhysRevB.77.144512	journal	April 2008
Continuum model of the twisted graphene bilayer Lopes dos Santos, J. M. B.; Peres, N. M. R.; Castro Neto, A. H. Physical Review B, Vol. 86, Issue 15 https://doi.org/10.1103/PhysRevB.86.155449	journal	October 2012
Moiré impurities in twisted bilayer black phosphorus: Effects on the carrier mobility Kang, Peng; Zhang, Wan-Ting; Michaud-Rioux, Vincent Physical Review B, Vol. 96, Issue 19 https://doi.org/10.1103/PhysRevB.96.195406	journal	November 2017
Mean-field theory for superconductivity in twisted bilayer graphene Peltonen, Teemu J.; Ojajärvi, Risto; Heikkilä, Tero T. Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevB.98.220504	journal	December 2018
Polar Kerr Effect and Time Reversal Symmetry Breaking in Bilayer Graphene Nandkishore, Rahul; Levitov, Leonid Physical Review Letters, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevLett.107.097402	journal	August 2011
Interpretation of Scanning Tunneling Quasiparticle Interference and Impurity States in Cuprates Kreisel, A.; Choubey, Peayush; Berlijn, T. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.217002	journal	May 2015
Probing Time Reversal Symmetry Breaking Topological Superconductivity in Twisted Double Layer Copper Oxides with Polar Kerr Effect Can, Oguzhan; Zhang, Xiao-Xiao; Kallin, Catherine Physical Review Letters, Vol. 127, Issue 15 https://doi.org/10.1103/PhysRevLett.127.157001	journal	October 2021
High-Temperature Majorana Zero Modes Mercado, Alejandro; Sahoo, Sharmistha; Franz, M. Physical Review Letters, Vol. 128, Issue 13 https://doi.org/10.1103/PhysRevLett.128.137002	journal	March 2022
Localized states in a d -wave superconductor Lee, Patrick A. Physical Review Letters, Vol. 71, Issue 12 https://doi.org/10.1103/PhysRevLett.71.1887	journal	September 1993
Local Density of States around a Magnetic Impurity in High- T c Superconductors Based on the t − J Model Tsuchiura, Hiroki; Tanaka, Yukio; Ogata, Masao Physical Review Letters, Vol. 84, Issue 14 https://doi.org/10.1103/PhysRevLett.84.3165	journal	April 2000
Impurity in a d -Wave Superconductor: Kondo Effect and STM Spectra Polkovnikov, Anatoli; Sachdev, Subir; Vojta, Matthias Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.296	journal	January 2001
Impurity States and Interlayer Tunneling in High Temperature Superconductors Martin, I.; Balatsky, A. V.; Zaanen, J. Physical Review Letters, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevLett.88.097003	journal	February 2002
States of Local Moment Induced by Nonmagnetic Impurities in Cuprate Superconductors Chen, Yan; Ting, C. S. Physical Review Letters, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevLett.92.077203	journal	February 2004
Impurity-induced states in conventional and unconventional superconductors Balatsky, A. V.; Vekhter, I.; Zhu, Jian-Xin Reviews of Modern Physics, Vol. 78, Issue 2 https://doi.org/10.1103/RevModPhys.78.373	journal	May 2006
Scanning tunneling spectroscopy of high-temperature superconductors Fischer, Øystein; Kugler, Martin; Maggio-Aprile, Ivan Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.353	journal	March 2007
Tuning superconductivity in twisted bilayer graphene Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy Science, Vol. 363, Issue 6431 https://doi.org/10.1126/science.aav1910	journal	January 2019
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W. Science, Vol. 365, Issue 6453 https://doi.org/10.1126/science.aaw3780	journal	July 2019
Stacking-engineered ferroelectricity in bilayer boron nitride Yasuda, Kenji; Wang, Xirui; Watanabe, Kenji Science, Vol. 372, Issue 6549 https://doi.org/10.1126/science.abd3230	journal	May 2021
Time-reversal symmetry breaking superconductivity between twisted cuprate superconductors Zhao, S. Y. Frank; Cui, Xiaomeng; Volkov, Pavel A. Science, Vol. 382, Issue 6677 https://doi.org/10.1126/science.abl8371	journal	December 2023
Classical Spins in Superconductors Shiba, Hiroyuki Progress of Theoretical Physics, Vol. 40, Issue 3 https://doi.org/10.1143/PTP.40.435	journal	September 1968
Spin-orbit scattering in d -wave superconductors Grimaldi, C. Europhysics Letters (EPL), Vol. 48, Issue 3 https://doi.org/10.1209/epl/i1999-00482-6	journal	November 1999
Nematic Superconductivity in Doped Bi2Se3 Topological Superconductors Yonezawa, Shingo Condensed Matter, Vol. 4, Issue 1 https://doi.org/10.3390/condmat4010002	journal	December 2018

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