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- W2045557730 abstract "We study nonperturbative interaction corrections to the thermodynamic quantities of multichannel disordered wires in the presence of the Coulomb interactions. Within the replica nonlinear $sigma$-model (NL$sigma$M) formalism, they arise from nonperturbative soliton saddle points of the NL$sigma$M action. The problem is reduced to evaluating the partition function of a replicated classical one dimensional Coulomb gas. The state of the latter depends on two parameters: the number of transverse channels in the wire, N_{ch}, and the dimensionless conductance, G(L_T), of a wire segment of length equal to the thermal diffusion length, L_T. At relatively high temperatures, $G(L_T) gtrsim ln N_{ch} $, the gas is dimerized, i.e. consists of bound neutral pairs. At lower temperatures, $ln N_{ch} gtrsim G(L_T) gtrsim 1$, the pairs overlap and form a Coulomb plasma. The crossover between the two regimes occurs at a parametrically large conductance $G(L_T) sim ln N_{ch}$, and may be studied independently from the perturbative effects. Specializing to the high temperature regime, we obtain the leading nonperturbative correction to the wire heat capacity. Its ratio to the heat capacity for noninteracting electrons, C_0, is $delta C/C_0sim N_{ch}G^2(L_T)e^{-2G(L_T)}$." @default.
- W2045557730 created "2016-06-24" @default.
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- W2045557730 date "2007-12-06" @default.
- W2045557730 modified "2023-09-24" @default.
- W2045557730 title "Nonperturbative interaction effects in the thermodynamics of disordered wires" @default.
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- W2045557730 doi "https://doi.org/10.1103/physrevb.76.235108" @default.
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