Thermoelectricity of Wigner crystal in a periodic potential
نویسندگان
چکیده
منابع مشابه
Commensurability Oscillations of Composite Fermions Induced by the Periodic Potential of a Wigner Crystal.
When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a quantum Wigner crystal (WC). Although this exotic state has long been suspected in high-mobility 2D electron systems at very low Landau level fillings (ν≪1),...
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Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation towards equilibrium. We study this phenomenon in the case of spinless electrons with strong long-range repulsion, when the electrons form a one-dimensional Wigne...
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Let VΓ be a lattice periodic potential and A and φ external electromagnetic potentials which vary slowly on the scale set by the lattice spacing. It is shown that the Wigner function of a solution of the Schrödinger equation with Hamiltonian operator H = 1 2 (−i∇x − A(εx)) 2 + VΓ(x) + φ(εx) propagates along the flow of the semiclassical model of solid states physics up an error of order ε. If ε...
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The melting of a Wigner Crystal of electrons placed into a host polar material is examined as a function of the density and the temperature. When the coupling to the longitudinal optical modes of the host medium is turned on, the WC is progressively transformed into a polaronic Wigner Crystal. We estimate the critical density for crystal melting at zero temperature using the Lindeman criterion....
متن کاملExchange frequencies in the 2D Wigner crystal.
Using path integral Monte Carlo we have calculated exchange frequencies as electrons undergo ring exchanges in a "clean" 2D Wigner crystal as a function of density. The results show agreement with WKB calculations at very low density, but show a more rapid increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2D (3)He. Using the res...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2013
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/103/68008