Phase diagram of two-dimensional electron gas in a perpendicular magnetic field around Landau level filling factors and 3

2005/08/30 by N. H. March, Norman H. March, Alejandro Cabo Montes de +3
Mathematics · Physics and Astronomy · #Condensed matter physics #Crystal (programming language) #Electron #Fermi gas #Filling factor #Geometry #Landau quantization #Magnetic field #Magnetization #Mathematics #Perpendicular #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Skyrmion #Wigner crystal #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1016/j.physleta.2005.09.011

5 pages, 4 figures

arxiv created 2005/08/30 · openalex publication_date 2005/09/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The measured melting curve T_m(ν) between the crystal and liquid phases is analyzed using thermodynamics to extract the change of magnetization ΔM as a function of the Landau level filling factor ν, near ν=1. An explanation of ΔM(ν) is proposed in terms of Skyrmions. Near ν=3, a Wigner crystal is the most probable solid phase, experiments excluding Skyrmions.

Citations

• Analytic mean-field charge-density-wave solution atν=1∕3: Composite-fermion-like subbands and correlation effects