Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-08-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages
Scientific paper
10.1103/PhysRevB.76.235108
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 $\delta C/C_0\sim N_{ch}G^2(L_T)e^{-2G(L_T)}$.
Andreev Anatoly V.
Pesin D. A.
No associations
LandOfFree
Nonperturbative interaction effects in the thermodynamics of disordered wires does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonperturbative interaction effects in the thermodynamics of disordered wires, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperturbative interaction effects in the thermodynamics of disordered wires will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-533705