Ground State Phase Diagram of 2D Electrons in High Magnetic Field

TL;DR

This paper uses the density matrix renormalization group method to systematically analyze the ground states of 2D electrons in high magnetic fields, revealing a phase diagram with various quantum states.

Contribution

It provides a comprehensive phase diagram of 2D electron ground states in high magnetic fields, including new insights into the coexistence of multiple quantum phases.

Findings

Identification of various quantum phases including liquid, stripe, pairing, and Wigner crystal states.

Systematic calculation of ground state energy, excitation gap, and pair correlation functions.

Mapping of phase boundaries across different Landau levels.

Abstract

The ground state of 2D electrons in high magnetic field is studied by the density matrix renormalization group method. The ground state energy, excitation gap, and pair correlation functions are systematically calculated at various fillings in the lowest and the second lowest Landau levels. The ground state phase diagram, which consists of incompressible liquid state, compressible liquid state, stripe state, pairing state, and Wigner crystal is determined.