Power-law corrections to the Kubo formula vanish in quantum Hall systems
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Publication:915085
DOI10.1007/BF02097050zbMath0702.46051MaRDI QIDQ915085
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
quantum Hall systemKubo formulaadiabatic theoremfirst Chern class of a vector bundlefirst order perturbation theory conductivity
Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50) Applications of functional analysis in statistical physics (46N55)
Related Items (16)
From charge to spin: Analogies and differences in quantum transport coefficients ⋮ Geometry and quantum transport ⋮ A new approach to transport coefficients in the quantum spin Hall effect ⋮ Exactness of linear response in the quantum Hall effect ⋮ Adiabatic currents for interacting fermions on a lattice ⋮ Bounds for the adiabatic approximation with applications to quantum computation ⋮ Fourier-Mukai transform and adiabatic curvature of spectral bundles for Landau Hamiltonians on Riemann surfaces ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Discrete time adiabatic theorems for quantum mechanical systems ⋮ Linear adiabatic theory. Exponential estimates ⋮ Geometric currents in piezoelectricity ⋮ Purely linear response of the quantum Hall current to space-adiabatic perturbations ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Erratum: Adiabatic theorems and applications to the quantum Hall effect ⋮ Adiabatic dynamics for a class of quantum Hamiltonians ⋮ Charge deficiency, charge transport and comparison of dimensions
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