Heat transport in an ordered harmonic chain in presence of a uniform magnetic field - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Physics Année : 2022

Heat transport in an ordered harmonic chain in presence of a uniform magnetic field

Junaid Bhat
  • Fonction : Auteur
Cedric Bernardin
Gaëtan Cane
  • Fonction : Auteur
  • PersonId : 1114669
Abhishek Dhar

Résumé

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium Green's function expression for the heat current. This expression involves two different Green's functions which can be identified as corresponding respectively to scattering processes within or between the two transverse waves. The presence of the magnetic field leads to two phonon bands of the isolated system and we show that the net transmission can be written as a sum of two distinct terms attributable to the two bands. Exact expressions are obtained for the current in the thermodynamic limit, for the the cases of free and fixed boundary conditions. In this limit, we find that at small frequency $\omega$, the effective transmission has the frequency-dependence $\omega^{3/2}$ and $\omega^{1/2}$ for fixed and free boundary conditions respectively. This is in contrast to the zero magnetic field case where the transmission has the dependence $\omega^2$ and $\omega^0$ for the two boundary conditions respectively, and can be understood as arising from the quadratic low frequency phonon dispersion.

Dates et versions

hal-03401413 , version 1 (25-10-2021)

Identifiants

Citer

Junaid Bhat, Cedric Bernardin, Gaëtan Cane, Abhishek Dhar. Heat transport in an ordered harmonic chain in presence of a uniform magnetic field. Journal of Statistical Physics, 2022, 186 (1), ⟨10.1007/s10955-021-02848-5⟩. ⟨hal-03401413⟩
10 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More