REVISITING THE CHARGE TRANSPORT IN QUANTUM HALL SYSTEMS

DOI10.1142/S0129055X04002230zbMath1084.81082arXivmath-ph/0207027MaRDI QIDQ4673779

Tohru Koma

Publication date: 9 May 2005

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0207027

zbMATH Keywords

quantum Hall effectgeometric invariantsCharge transportlinear response theorynon-Abelian gauge fields

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (5)

Quantization of conductance in quasi-periodic quantum wires ⋮ The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors ⋮ Widths of the Hall conductance plateaus ⋮ Charmonium spectroscopy motivated by general features of pNRQCD ⋮ Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah–Singer index theorem

Cites Work

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• Adiabatic theorems and applications to the quantum Hall effect
• The quantum Hall effect for electrons in a random potential
• Insensitivity of quantized Hall conductance to disorder and interactions
• Spectral gaps of quantum Hall systems with interactions
• Quantum Hall conductivity in a Landau type model with a realistic geometry
• Geometric invariants of the quantum Hall effect
• Symmetry breaking and finite-size effects in quantum many-body systems
• Absence of transport under a slowly varying potential in disordered systems
• The Boltzmann Equation in the Theory of Electrical Conduction in Metals
• The noncommutative geometry of the quantum Hall effect
• Adiabatic charge transport and the Kubo formula for Landau-type Hamiltonians

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