TY - JOUR

T1 - Nonperturbative interaction effects in the thermodynamics of disordered wires

AU - Pesin, D. A.

AU - Andreev, A. V.

PY - 2007/12/6

Y1 - 2007/12/6

N2 - We study nonperturbative interaction corrections to the thermodynamic quantities of multichannel disordered wires in the presence of the Coulomb interactions. Within the replica nonlinear σ -model (NLσM) formalism, they arise from nonperturbative soliton saddle points of the NLσM 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 Nch and the dimensionless conductance G (LT) of a wire segment of length equal to the thermal diffusion length LT. At relatively high temperatures, G (LT) ln Nch, the gas is dimerized, i.e., consists of bound neutral pairs. At lower temperatures, ln Nch G (LT) 1, the pairs overlap and form a Coulomb plasma. The crossover between the two regimes occurs at a parametrically large conductance G (LT) ∼ln Nch and may be studied independently from the perturbative effects. Specializing on the high-temperature regime, we obtain the leading nonperturbative correction to the wire heat capacity. Its ratio to the heat capacity for noninteracting electrons, C0, is δC C0 ∼ Nch G2 (LT) e-2G (LT).

AB - We study nonperturbative interaction corrections to the thermodynamic quantities of multichannel disordered wires in the presence of the Coulomb interactions. Within the replica nonlinear σ -model (NLσM) formalism, they arise from nonperturbative soliton saddle points of the NLσM 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 Nch and the dimensionless conductance G (LT) of a wire segment of length equal to the thermal diffusion length LT. At relatively high temperatures, G (LT) ln Nch, the gas is dimerized, i.e., consists of bound neutral pairs. At lower temperatures, ln Nch G (LT) 1, the pairs overlap and form a Coulomb plasma. The crossover between the two regimes occurs at a parametrically large conductance G (LT) ∼ln Nch and may be studied independently from the perturbative effects. Specializing on the high-temperature regime, we obtain the leading nonperturbative correction to the wire heat capacity. Its ratio to the heat capacity for noninteracting electrons, C0, is δC C0 ∼ Nch G2 (LT) e-2G (LT).

UR - http://www.scopus.com/inward/record.url?scp=36849008126&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.76.235108

DO - 10.1103/PhysRevB.76.235108

M3 - Article

AN - SCOPUS:36849008126

VL - 76

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 23

M1 - 235108

ER -