Ground state phase diagram of 2D electrons in high magnetic field

TL;DR

This paper uses DMRG to map out the phase diagram of 2D electrons in high magnetic fields, revealing various quantum Hall states including liquids, stripes, bubbles, and crystals across different Landau levels.

Contribution

It provides the first comprehensive phase diagram for N=0,1,2 Landau levels using DMRG, identifying multiple electronic phases in quantum Hall systems.

Findings

Confirmed existence of various electronic states in quantum Hall systems.

Mapped phase boundaries for incompressible and compressible liquids, stripe, bubble, and Wigner crystal phases.

Validated results with systems up to 25 electrons.

Abstract

The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low energy excitations and pair correlation functions in Landau levels of N=0,1,2 are calculated for wide range of fillings. The obtained results for systems with up to 25 electrons confirm the existence of various electronic states in quantum Hall systems. The ground state phase diagram for N=0,1,2 consisting of incompressible liquids, compressible liquids, charge density waves called stripe, bubble and Wigner crystal is determined.