1994/01/11 by Lian Zheng, H. A. Fertig · 15 citations
Physics and Astronomy · #Condensed matter physics #Crystal (programming language) #Electrical resistivity and conductivity #Electron #Hall conductivity #Hall effect #Magnetic properties of thin films #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Wave function #Wigner crystal #cond-mat
paper · pdf · doi:10.1103/physrevlett.73.878
published in Physical Review Letters 73(6), 878-881 (American Physical Society) · 10 pages, RevTeX
arxiv created 1994/01/11 · openalex publication_date 1994/08/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a model of an interstitial in a Wigner crystal (WC). We find that correlations, ignored in a Hartree-Fock treatment, dramatically lower the interstitial energy, especially at \ensuremathν close to 1/m (m odd). The correlation at \ensuremathν1/m is introduced by a trial wave function with a Jastrow factor of a Laughlin state at \ensuremathν=1/m. For \ensuremathν close to but below 1/m, a WC becomes unstable against formation of such interstitials. It is argued that conduction due to correlated interstitials in the presence of a weak disorder leads to the classical Hall resistivity, as seen experimentally.