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Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

统计力学 · 物理学 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

We illustrate how to calculate the finite-temperature linear-response conductance of quantum impurity models from the Matsubara Green function. A continued fraction expansion of the Fermi distribution is employed which was recently…

强关联电子 · 物理学 2015-05-19 C. Karrasch , V. Meden , K. Schönhammer

We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two…

凝聚态物理 · 物理学 2009-10-28 Per Frojdh , Henrik Johannesson

Majorana fermion representations of the algebra associated with spin, charge, and flavor currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with…

强关联电子 · 物理学 2009-10-31 Guang-Ming Zhang , Lu Yu

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a…

凝聚态物理 · 物理学 2007-05-23 M. K. Srivastava , R. K. Bhaduri , J. Law , M. V. N. Murthy

We provide molecular dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity is finite in the thermodynamic limit in the chains with the…

统计力学 · 物理学 2013-07-18 A. V. Savin , Yuriy A. Kosevich

Using the Thomas-Fermi approximation, we show that an interacting two dimensional electron gas may be described in terms of fractional exclusion statistics at zero and finite temperatures when the interaction has a short-range component. We…

凝聚态物理 · 物理学 2009-10-28 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a non-planar surface. While our methods…

量子物理 · 物理学 2014-10-31 Giuseppe Bimonte , Thorsten Emig , Mehran Kardar

A formalism is presented that allows an asymptotically exact solution of non-relativistic and semi-relativistic two-body problems with infinitely rising confining potentials. We consider both linear and quadratic confinement. The additional…

核理论 · 物理学 2010-11-02 Joseph Day , Joseph McEwen , Zoltan Papp

The thermal conductance of a one-dimensional classical inertial Heisenberg model of linear size $L$ is computed, considering the first and last particles in thermal contact with heat baths at higher and lower temperatures, $T_{h}$ and…

统计力学 · 物理学 2024-02-23 Henrique Santos Lima , Constantino Tsallis , Fernando D. Nobre

This study analyzes thermoelectric properties of a one-dimensional random conductor which shows localization effects and simultaneously includes resonant scatterers yielding sharp conductance resonances. These sharp features give rise to a…

介观与纳米尺度物理 · 物理学 2015-05-13 D. Müller , W. J. Smit , M. Sigrist

It is shown that one can obtain quantitatively accurate values for the superconducting critical temperature within a Hamiltonian framework. This is possible if one uses a renormalized Hamiltonian that contains an attractive…

超导电性 · 物理学 2009-10-30 Andreas Mielke

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive…

凝聚态物理 · 物理学 2009-10-28 Avraham Schiller , Kevin Ingersent

We consider a weakly interacting finite wire with short and long range interactions. The long range interactions enhance the $4k_{F}$ scattering and renormalize the wire to a strongly interacting limit. For large screening lengths, the…

介观与纳米尺度物理 · 物理学 2015-05-13 D. Schmeltzer , A. Kuklov , M. Malard

Despite the fact that the low energy behavior of the basic Kondo model cannot be studied perturbatively it was eventually shown by Wilson, Anderson, Nozieres and others to have a simple "local Fermi liquid theory" description. That is,…

强关联电子 · 物理学 2009-11-10 Ian Affleck

For a system of $N$ bosons in one space dimension with two-body $\delta$-interactions the Hamiltonian can be defined in terms of the usual closed semi-bounded quadratic form. We approximate this Hamiltonian in norm resolvent sense by…

数学物理 · 物理学 2020-06-24 Marcel Griesemer , Michael Hofacker , Ulrich Linden

We analyze the transport properties of a Luttinger liquid with an imbedded impurity of explicitly time-dependent strength. We employ a radiative boundary condition formalism to describe the coupling to the voltage sources. Assuming the…

强关联电子 · 物理学 2007-09-22 T. L. Schmidt , A. Komnik

We study electron transport through a quantum dot in a Tomonaga-Luttinger liquid with an inhomogeneity induced either by a non-uniform electron interaction or by the presence of tunnel resistances of contacts. The non-analytic temperature…

介观与纳米尺度物理 · 物理学 2011-10-10 T. Kleimann , F. Cavaliere , M. Sassetti , B. Kramer

The degenerate Bose-Fermi (BF) mixtures in one dimension present a novel realization of two decoupled Luttinger liquids with bosonic and fermionic degrees of freedom at low temperatures. However, the transport properties of such decoupled…

量子气体 · 物理学 2020-11-09 Sheng Wang , Xiangguo Yin , Yang-Yang Chen , Yunbo Zhang , Xi-Wen Guan

A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties…

介观与纳米尺度物理 · 物理学 2025-04-07 Yuan Gao , K. A. Muttalib