Specific heat in the integer quantum Hall effect: An exact diagonalization approach

Abstract

We have studied the integer quantum Hall effect at finite temperatures by diagonalizing a single body tight binding model Hamiltonian including Aharonov-Bohm phase. We have studied the energy dependence of the specific heat and the Hall conductivity at a given temperature. The specific heat shows a sharp peak between two consecutive Hall plateaus. At very low temperatures, the numerical results of the temperature variations of specific heat (in the plateau region) are in good agreement with the analytical results.

2 figures, (To appear in Physica B)

References in corpus (4)

• Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling $\nu$=1
• Disappearance of integer quantum Hall effect
• Current Carrying States in a Random Magnetic Field
• Activated resistivities in the integer quantum Hall effect

Cited by in corpus (5)

• Quantum transport in disordered systems under magnetic fields: A study based on operator algebras
• Entanglement area law from specific heat capacity
• The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields
• Integer Quantum Hall Effect in a Lattice Model Revisited: Kubo Formalism
• Characterization of the Quantized Hall Insulator Phase in the Quantum Critical Regime