Models for the integer quantum Hall effect: the network model, the Dirac equation, and a tight-binding Hamiltonian
ArXiv cond-mat/9605073 (1996)
Abstract:
We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness in the mass, the scalar potential, and the vector potential. Separately, we show that the network model can also be associated with a nearest neighbour, tight-binding Hamiltonian.Coupling of Surface Acoustic Waves to a Two Dimensional Electron Gas
(1996)
Painlevé Transcendent Describes Quantum Correlation Function of the XXZ Antiferromagnet away from the free-fermion point
(1996)
Dynamical replica theory for disordered spin systems.
Phys Rev B Condens Matter 53:13 (1996) 8184-8187