2007
DOI: 10.1103/physrevb.75.144201
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Mean-field theory for the three-dimensional Coulomb glass

Abstract: We study the low temperature phase of the 3D Coulomb glass within a mean field approach which reduces the full problem to an effective single site model with a non-trivial replica structure. We predict a finite glass transition temperature Tc, and a glassy low temperature phase characterized by permanent criticality. The latter is shown to assure the saturation of the Efros-Shklovskii Coulomb gap in the density of states. We find this pseudogap to be universal due to a fixed point in Parisi's flow equations. T… Show more

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Cited by 72 publications
(102 citation statements)
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References 77 publications
(133 reference statements)
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“…As compared to the canonical SK model an extra factor of 4 arises because we consider Ising degrees of freedom with magnitude s z i ≡ n i − 1/2 = ±1/2. Remarkably, the soft gap (14) at low fields is universal, that is, independent of the strength of the random fields and the average magnetization (density) [29]. A similar soft gap, the Efros-Shklovskii Coulomb gap [26] is also known to exist in electron glasses with Coulomb interactions [29,33].…”
Section: Insulating Anderson-efros-shklovskii Glassmentioning
confidence: 92%
“…As compared to the canonical SK model an extra factor of 4 arises because we consider Ising degrees of freedom with magnitude s z i ≡ n i − 1/2 = ±1/2. Remarkably, the soft gap (14) at low fields is universal, that is, independent of the strength of the random fields and the average magnetization (density) [29]. A similar soft gap, the Efros-Shklovskii Coulomb gap [26] is also known to exist in electron glasses with Coulomb interactions [29,33].…”
Section: Insulating Anderson-efros-shklovskii Glassmentioning
confidence: 92%
“…W ≫ e 2 /a, where a is the typical distance between neighboring electrons. In that case, the Coulomb gap is theoretically predicted 30,31 and empirically found 32 to be essentially universal at low energies: ρ(E) exhibits linear variation, ρ(E) = α e 4 |E|. The co-efficient α is basically independent of the type of lattice, the filling fraction, and the details of the disorder 33,34 .…”
Section: Modelmentioning
confidence: 98%
“…Extended DMFT (EDMFT) extends this idea to the electron polarization bubble. [9][10][11][12] In the classical limit t → 0, where the polarization bubble becomes independent of frequency, the standard RPA expression for the polarization of an interacting system equals…”
Section: Emdftmentioning
confidence: 99%