A STUDY OF THERMODYNAMICS OF ELECTRON CORRELATIONS IN A MAGNETIC FIELD

Applied Physics

High magnetic fields, combined with low temperatures, can quench the kinetic energy of two-dimensional electron systems, leaving the Coulomb interaction between electrons as the dominant force. We will begin by reviewing the properties of the noninteracting electron gas, developing its Greens functions, analyzing its thermodynamics, Pauli paramagnetism, and Landau diamagnetism. We will recall how its thermodynamics is qualitatively different from those of Boltzmann and Bose gases. We simulate the Hubbard–Hofstadter model using the Deterministic Quantum Monte Carlo (DQMC) algorithm. We report the field and Hubbard interaction strength dependences of charge compressibility, fermion sign, local moment, magnetic structure factor and specific heat. The gross structure of the magnetic Bloch bands and band gap determined by the non-interacting Hofstadter spectrum is preserved in the presence of U. The fermion sign is improved in the incompressible regions of the phase diagram.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.