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Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases.
Fragile Phases As Affine Monoids: Classification and Material Examples
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Universal jump in the superfluid density of two-dimensional superfluids
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Solitons in polyacetylene
W. P. Su, J. R. Schrieffer, and A. J. Heeger · 1979
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Bounds for eigenvalues using traces
Henry Wolkowicz and George PH Styan · 1980
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Band representations and symmetry types of bands in solids
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Monte carlo calculations of coupled boson-fermion systems. i
R. Blankenbecler, D. J. Scalapino, and R. L. Sugar · 1981
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Wannier functions for magnetic sub-bands
D J Thouless · 1984
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Geometry of quantum evolution
J. Anandan and Y. Aharonov · 1990
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Superfluid density and the drude weight of the hubbard model
D. J. Scalapino, S. R. White, and S. C. Zhang · 1992
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Insulator, metal, or superconductor: The criteria
Douglas J. Scalapino, Steven R. White, and Shoucheng Zhang · 1993
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Bilbao crystallographic server: I. databases and crystallographic computing programs
MI Aroyo, JM Perez-Mato, Cesar Capillas, Eli Kroumova, Svetoslav Ivantchev, Gotzon Madariaga, Asen Kirov, and Hans Wondratschek · 2006
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Exponential localization of wannier functions in insulators
Christian Brouder, Gianluca Panati, Matteo Calandra, Christophe Mourougane, and Nicola Marzari · 2007
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Colloquium: Topological insulators
M. Z. Hasan and C. L. Kane · 2010
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Magnetic Topological Quantum Chemistry
Luis Elcoro, Benjamin J. Wieder, Zhida Song, Yuanfeng Xu, Barry Bradlyn, and B. Andrei Bernevig · 2010
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Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction
Ran Cheng · 2010
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Moiré bands in twisted double-layer graphene
Rafi Bistritzer and Allan H. MacDonald · 2011
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The insulating state of matter: a geometrical theory
R. Resta · 2011
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Maximally localized Wannier functions: Theory and applications
Nicola Marzari, Arash A. Mostofi, Jonathan R. Yates, Ivo Souza, and David Vanderbilt · 2012
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Measuring the quantum geometry of bloch bands with current noise
Titus Neupert, Claudio Chamon, and Christopher Mudry · 2013
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Topological Insulators and Topological Superconductors
B. Andrei Bernevig and Taylor L. Hughes · 2013
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Field Induced Positional Shift of Bloch Electrons and Its Dynamical Implications
Yang Gao, Shengyuan A. Yang, and Qian Niu · 2014
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Wilson-Loop Characterization of Inversion-Symmetric Topological Insulators
A. Alexandradinata, Xi Dai, and B. Andrei Bernevig · 2014
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Superfluidity in topologically nontrivial flat bands
Sebastiano Peotta and Päivi Törmä · 2015
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Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials
Inti Sodemann and Liang Fu · 2015
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Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band
Aleksi Julku, Sebastiano Peotta, Tuomas I. Vanhala, Dong-Hee Kim, and Päivi Törmä · 2016
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Effective theory and emergent SU ( 2 ) \text{SU}(2) symmetry in the flat bands of attractive hubbard models
Murad Tovmasyan, Sebastiano Peotta, Päivi Törmä, and Sebastian D. Huber · 2016
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Geometric orbital susceptibility: Quantum metric without berry curvature
Frédéric Piéchon, Arnaud Raoux, Jean-Noël Fuchs, and Gilles Montambaux · 2016
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Topological quantum chemistry
Barry Bradlyn, L. Elcoro, Jennifer Cano, M. G. Vergniory, Zhijun Wang, C. Felser, M. I. Aroyo, and B. Andrei Bernevig · 2017
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Complete theory of symmetry-based indicators of band topology
Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe · 2017
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Topological classification of crystalline insulators through band structure combinatorics
Jorrit Kruthoff, Jan de Boer, Jasper van Wezel, Charles L. Kane, and Robert-Jan Slager · 2017
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Band geometry, berry curvature, and superfluid weight
Long Liang, Tuomas I Vanhala, Sebastiano Peotta, Topi Siro, Ari Harju, and Päivi Törmä · 2017
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Wave-packet dynamics of Bogoliubov quasiparticles: Quantum metric effects
Long Liang, Sebastiano Peotta, Ari Harju, and Päivi Törmä · 2017
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Graph theory data for topological quantum chemistry
M. G. Vergniory, L. Elcoro, Zhijun Wang, Jennifer Cano, C. Felser, M. I. Aroyo, B. Andrei Bernevig, and Barry Bradlyn · 2017
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The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code
Martin Bercx, Florian Goth, Johannes S. Hofmann, and Fakher F. Assaad · 2017
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Optimal Decay of Wannier functions in Chern and Quantum Hall Insulators
Domenico Monaco, Gianluca Panati, Adriano Pisante, and Stefan Teufel · 2018
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Topological quantum materials from the viewpoint of chemistry
Nitesh Kumar, Satya N Guin, Kaustuv Manna, Chandra Shekhar, and Claudia Felser · 2020
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Dirac equation perspective on higher-order topological insulators
Frank Schindler · 2020
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Superconductivity, pseudogap, and phase separation in topological flat bands
Johannes S. Hofmann, Erez Berg, and Debanjan Chowdhury · 2020
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All Topological Bands of All Stoichiometric Materials
Maia G. Vergniory, Benjamin J. Wieder, Luis Elcoro, Stuart S. P. Parkin, Claudia Felser, B. Andrei Bernevig, and Nicolas Regnault · 2021
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Topology invisible to eigenvalues in obstructed atomic insulators
Jennifer Cano, L. Elcoro, M. I. Aroyo, B. Andrei Bernevig, and Barry Bradlyn · 2021
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Hoi Chun Po, Haruki Watanabe, and Ashvin Vishwanath · 2018
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Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators
Eslam Khalaf, Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe · 2018
Cited alongside, same era.
Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and wannier obstructions
Liujun Zou, Hoi Chun Po, Ashvin Vishwanath, and T. Senthil · 2018
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Unconventional superconductivity in magic-angle graphene superlattices
Yuan Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero · 2018
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Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
Yuan Cao, Valla Fatemi, Ahmet Demir, Shiang Fang, Spencer L. Tomarken, Jason Y. Luo, Javier D. Sanchez-Yamagishi, Kenji Watanabe, Takashi Taniguchi, Efthimios Kaxiras, Ray C. Ashoori, and Pablo Jarillo-Herrero · 2018
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Preformed pairs in flat Bloch bands
Murad Tovmasyan, Sebastiano Peotta, Long Liang, Päivi Törmä, and Sebastian D. Huber · 2018
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Quantum metric and effective mass of a two-body bound state in a flat band
P. Törmä, L. Liang, and S. Peotta · 2018
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Superfluidity and Quantum Geometry in Twisted Multilayer Systems
P. Törmä, S. Peotta, and B. A. Bernevig · 2021
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Fragile Topology and Flat-Band Superconductivity in the Strong-Coupling Regime
Valerio Peri, Zhi-Da Song, B. Andrei Bernevig, and Sebastian D. Huber · 2021
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Does filling-dependent band renormalization aid pairing in twisted bilayer graphene?
Cyprian Lewandowski, Stevan Nadj-Perge, and Debanjan Chowdhury · 2021
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Twisted bilayer graphene. II. Stable symmetry anomaly
Zhi-Da Song, Biao Lian, Nicolas Regnault, and B. Andrei Bernevig · 2021
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Swati Chaudhary, Cyprian Lewandowski, and Gil Refael · 2021
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Higher-Order Topological Superconductivity in Twisted Bilayer Graphene
Aaron Chew, Yijie Wang, B. Andrei Bernevig, and Zhi-Da Song · 2021
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Evidence for Flat Band Dirac Superconductor Originating from Quantum Geometry
Haidong Tian, Shi Che, Tianyi Xu, Patrick Cheung, Kenji Watanabe, Takashi Taniguchi, Mohit Randeria, Fan Zhang, Chun Ning Lau, and Marc W. Bockrath · 2021
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Superconductivity is boundless
Johannes S. Hofmann, Debanjan Chowdhury, Steven A. Kivelson, and Erez Berg · 2021
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Optical spectral weight, phase stiffness, and Tc bounds for trivial and topological flat band superconductors
Nishchhal Verma, Tamaghna Hazra, and Mohit Randeria · 2021
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General Construction and Topological Classification of All Magnetic and Non-Magnetic Flat Bands
Dumitru Călugăru, Aaron Chew, Luis Elcoro, Nicolas Regnault, Zhi-Da Song, and B. Andrei Bernevig · 2021
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Topological Materials Discovery from Nonmagnetic Crystal Symmetry
Benjamin J. Wieder, Barry Bradlyn, Jennifer Cano, Zhijun Wang, Maia G. Vergniory, Luis Elcoro, Alexey A. Soluyanov, Claudia Felser, Titus Neupert, Nicolas Regnault, and B. Andrei Bernevig · 2021
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Filling-Enforced Obstructed Atomic Insulators
Yuanfeng Xu, Luis Elcoro, Zhi-Da Song, M. G. Vergniory, Claudia Felser, Stuart S. P. Parkin, Nicolas Regnault, Juan L. Mañes, and B. Andrei Bernevig · 2021
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Catalogue of Flat Band Stoichiometric Materials
Nicolas Regnault, Yuanfeng Xu, Ming-Rui Li, Da-Shuai Ma, Milena Jovanovic, Ali Yazdani, Stuart S. P. Parkin, Claudia Felser, Leslie M. Schoop, N. Phuan Ong, Robert J. Cava, Luis Elcoro, Zhi-Da Song, and B. Andrei Bernevig · 2021
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Frank Schindler and B. Andrei Bernevig · 2021
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Bound on resistivity in flat band materials due to the quantum metric
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Momentum-space Gravity from the Quantum Geometry and Entropy of Bloch Electrons
Tyler B. Smith, Lakshmi Pullasseri, and Ajit Srivastava · 2021
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Quantum geometry and flat band bose-einstein condensation
Aleksi Julku, Georg M. Bruun, and Päivi Törmä · 2021
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Bruno Mera, Anwei Zhang, and Nathan Goldman · 2021
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Quantum Metric and Correlated States in Two-dimensional Systems
Enrico Rossi · 2021
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Exact Landau Level Description of Geometry and Interaction in a Flatband
Jie Wang, Jennifer Cano, Andrew J. Millis, Zhao Liu, and Bo Yang · 2021
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Two-body problem in a multiband lattice and the role of quantum geometry
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Topology and geometry under the nonlinear electromagnetic spotlight
Qiong Ma, Adolfo G Grushin, and Kenneth S Burch · 2021
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Light-matter coupling and quantum geometry in moiré materials
Gabriel E. Topp, Christian J. Eckhardt, Dante M. Kennes, Michael A. Sentef, and Päivi Törmä · 2021
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Riemannian Geometry of Resonant Optical Responses
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Topology and symmetry of quantum materials via nonlinear optical responses
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The marvels of moiré materials
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