Quantum transfer matrix method for one-dimensional disordered electronic systems

Abstract

We develop a novel quantum transfer matrix method to study thermodynamic properties of one-dimensional (1D) disordered electronic systems. It is shown that the partition function can be expressed as a product of $2\times 2$ local transfer matrices. We demonstrate this method by applying it to the 1D disordered Anderson model. Thermodynamic quantities of this model are calculated and discussed.

7 pages, 10 figures

References in corpus (1)

• Probing the Hofstadter butterfly with the quantum oscillation of magnetization

Cited by in corpus (3)

• Energy-twisted boundary condition and response in one-dimensional quantum many-body systems
• Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization
• Fractality of Hofstadter Butterfly in Specific Heat Oscillation