2007/08/04 by D. A. Pesin, A. V. Andreev
Physics and Astronomy · #Condensed matter physics #Conductance #Coulomb #Dimensionless quantity #Electron #Inverse #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Sigma #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.76.235108
published in Physical Review B 76(23) (American Physical Society) · 18 pages
arxiv created 2007/08/04 · openalex publication_date 2007/12/06 · arxiv updated 2012/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study nonperturbative interaction corrections to the thermodynamic quantities of multichannel disordered wires in the presence of the Coulomb interactions. Within the replica nonlinear \ensuremathσ-model (NL\ensuremathσM) formalism, they arise from nonperturbative soliton saddle points of the NL\ensuremathσM 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)\ensuremath\gtrsimln\phantom\rule0.2em0exNch, the gas is dimerized, i.e., consists of bound neutral pairs. At lower temperatures, ln\phantom\rule0.2em0exNch\ensuremath\gtrsimG(LT)\ensuremath\gtrsim1, the pairs overlap and form a Coulomb plasma. The crossover between the two regimes occurs at a parametrically large conductance G(LT)\ensuremath∼ln\phantom\rule0.2em0exNch 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 \ensuremathδC∕C0\ensuremath∼NchG2(LT)e^\ensuremath-2G(LT).