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We relate explicitly the adiabatic curvature -- in flux space -- of an interacting Hall insulator with nondegenerate ground state to various linear response coefficients, in particular the Kubo response and the adiabatic response.
Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problems
R. Kubo · 1957
Earlier work this paper cites.
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
D.R. Hofstadter · 1976
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Quantized Hall conductance as a topological invariant
Q. Niu, D.J. Thouless, and Y.-S. Wu · 1985
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Quantization of the Hall conductance for general, multiparticle Schrödinger Hamiltonians
J.E. Avron and R. Seiler · 1985
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Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
M.B. Hastings and X.-G. Wen · 2005
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Automorphic equivalence within gapped phases of quantum lattice systems
S. Bachmann, S. Michalakis, S. Nachtergaele, and R. Sims · 2012
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The statistical mechanics of lattice gases
Barry Simon · 2014
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Quantization of Hall conductance for interacting electrons on a torus
M.B. Hastings and S. Michalakis · 2015
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Microscopic conductivity of lattice fermions at equilibrium. part ii: Interacting particles
Jean-Bernard Bru and Walter de Siqueira Pedra · 2016
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Universality of the Hall conductivity in interacting electron systems
A. Giuliani, V. Mastropietro, and M. Porta · 2016
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Lieb-Robinson bounds for multi-commutators and applications to response theory
J-B Bru and Walter de Siqueira Pedra · 2016
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Adiabatic theorem for quantum spin systems
Sven Bachmann, Wojciech De Roeck, and Martin Fraas · 2017
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Adiabatic currents for interacting electrons on a lattice
D. Monaco and S. Teufel · 2017
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The adiabatic theorem and linear response theory for extended quantum systems
Sven Bachmann, Wojciech De Roeck, and Martin Fraas · 2018
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Quantization of conductance in gapped interacting systems
Sven Bachmann, Alex Bols, Wojciech De Roeck, and Martin Fraas · 2018
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Persistence of exponential decay and spectral gaps for interacting fermions
Wojciech De Roeck and Manfred Salmhofer · 2018
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MB Hastings · 2017
Cited alongside, same era.
Stability of gapped phases of fermionic lattice systems
B. Nachtergaele, R. Sims, and A. Young
Cited in the paper.
Sven Bachmann, Alex Bols, Wojciech De Roeck, and Martin Fraas · 2018
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