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Quantization of the Hall Conductance for general, multiparticle Schro¨dinger Hamiltonians
Joseph E. Avron,Ruedi Seiler +1 more
- pp 73-76
TLDR
Theorie mathematique precise de l'argument de Langhlin pour la quantification de la conductance de Hall, pour des operateurs de Schrodinger ganeraux a n particules avec des potentiels generaux.Abstract:
Theorie mathematique precise de l'argument de Langhlin pour la quantification de la conductance de Hall, pour des operateurs de Schrodinger ganeraux a n particules avec des potentiels generaux: la quantification est une consequence du contenu geometrique de la conductance et est identifiable a une integrale sur la 1ere classe de Chernread more
Citations
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Journal ArticleDOI
Berry phase effects on electronic properties
Di Xiao,Ming Che Chang,Qian Niu +2 more
TL;DR: In this paper, a detailed review of the role of the Berry phase effect in various solid state applications is presented. And a requantization method that converts a semiclassical theory to an effective quantum theory is demonstrated.
Journal ArticleDOI
The Quantum Anomalous Hall Effect: Theory and Experiment
TL;DR: The quantum anomalous Hall effect as mentioned in this paper is defined as a quantized Hall effect realized in a system without an external magnetic field and is a novel manifestation of topological structure in many-electron systems and may have potential applications in future electronic devices.
Journal ArticleDOI
Higher-Order Topology in Bismuth
Frank Schindler,Zhijun Wang,Maia G. Vergniory,Maia G. Vergniory,Maia G. Vergniory,A. M. Cook,Anil Murani,Shamashis Sengupta,A. Kasumov,Richard Deblock,Sangjun Jeon,Ilya Drozdov,Hélène Bouchiat,Sophie Guéron,Ali Yazdani,B. Andrei Bernevig,Titus Neupert +16 more
TL;DR: In this paper, the electronic structure of bismuth, an element consistently described as bulk topologically trivial, is in fact topological and follows a generalized bulkboundary correspondence of higher-order: not the surfaces of the crystal, but its hinges host topologically protected conducting modes.
Journal ArticleDOI
Gauge invariance and current algebra in nonrelativistic many-body theory
Jürg Fröhlich,Urban M. Studer +1 more
TL;DR: In this paper, a Lagrangian path-integral quantization is used to analyze the fractional quantum Hall effect in two-dimensional electron fluids subject to a strong, transverse magnetic field.
References
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Journal ArticleDOI
Berry phase effects on electronic properties
Di Xiao,Ming Che Chang,Qian Niu +2 more
TL;DR: In this paper, a detailed review of the role of the Berry phase effect in various solid state applications is presented. And a requantization method that converts a semiclassical theory to an effective quantum theory is demonstrated.
Journal ArticleDOI
The Quantum Anomalous Hall Effect: Theory and Experiment
TL;DR: The quantum anomalous Hall effect as mentioned in this paper is defined as a quantized Hall effect realized in a system without an external magnetic field and is a novel manifestation of topological structure in many-electron systems and may have potential applications in future electronic devices.
Journal ArticleDOI
Higher-Order Topology in Bismuth.
Frank Schindler,Zhijun Wang,Maia G. Vergniory,Maia G. Vergniory,Maia G. Vergniory,A. M. Cook,Anil Murani,Shamashis Sengupta,A. Kasumov,Richard Deblock,Sangjun Jeon,Ilya Drozdov,Hélène Bouchiat,Sophie Guéron,Ali Yazdani,B. Andrei Bernevig,Titus Neupert +16 more
TL;DR: It is established that the electronic structure of bismuth, an element consistently described as bulk topologically trivial, is in fact topological and follows a generalized bulk–boundary correspondence of higher-order: not the surfaces of the crystal, but its hinges host topologically protected conducting modes.
Journal ArticleDOI
Gauge invariance and current algebra in nonrelativistic many-body theory
Jürg Fröhlich,Urban M. Studer +1 more
TL;DR: In this paper, a Lagrangian path-integral quantization is used to analyze the fractional quantum Hall effect in two-dimensional electron fluids subject to a strong, transverse magnetic field.