Supersymmetry and localization in the quantum Hall effect

DOI10.1016/S0550-3213(97)00300-3zbMath0934.81072arXivcond-mat/9612223MaRDI QIDQ1358780

J. B. Marston, Jané Kondev

Publication date: 18 June 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9612223

zbMATH Keywords

Hilbert spacecritical behaviornetwork model1D nonhermitian Hamiltonianplateau transitiontransport Green functions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Many-body theory; quantum Hall effect (81V70)

Related Items (10)

Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain ⋮ On truncations of the Chalker-Coddington model ⋮ The \(D_3^{(2)}\) spin chain and its finite-size spectrum ⋮ The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels ⋮ Towards a field theory of the plateau transitions in the integer quantum Hall effect ⋮ Edge states and conformal boundary conditions in super spin chains and super sigma models ⋮ Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions ⋮ Disordered Dirac fermions: the marriage of three different approaches ⋮ Logarithmic minimal models ⋮ Non-locally correlated disorder and delocalization in one dimension. I: Density of states.

Cites Work

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• Generalizations of Davidson's method for computing eigenvalues of large nonsymmetric matrices
• Two-dimensional conformal field theory for disordered systems at criticality
• Super universality of the quantum Hall effect and the ``large \(N\) picture of the \(\vartheta \) angle
• Chiral metal as a ferromagnetic super spin chain
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Density Matrix Renormalization Group Method for 2D Classical Models
• Density matrix renormalization group study of the correlation function of the bilinear-biquadratic spin-1 chain

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