Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results
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Publication:5156019
DOI10.1142/S0129055X20600041zbMath1499.81049arXiv2002.08669OpenAlexW3007392307MaRDI QIDQ5156019
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.08669
Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (10)
On adiabatic theory for extended fermionic lattice systems ⋮ From charge to spin: Analogies and differences in quantum transport coefficients ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap ⋮ Improved energy estimates for a class of time-dependent perturbed Hamiltonians ⋮ Mathematical aspects of the Kubo formula for electrical conductivity with dissipation ⋮ Derivation of Kubo's formula for disordered systems at zero temperature ⋮ Inhomogeneous conformal field theory out of equilibrium ⋮ Adiabatic evolution of low-temperature many-body systems ⋮ Purely linear response of the quantum Hall current to space-adiabatic perturbations ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
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