Longitudinal Seebeck coefficient of the charge ordered layered crystals in a strong quantizing magnetic field

TL;DR

This paper calculates the longitudinal Seebeck coefficient in charge-ordered layered crystals under strong magnetic fields, revealing how it varies with magnetic field strength, relaxation models, and charge order, with potential implications for thermoelectric properties.

Contribution

It introduces a detailed analysis of the Seebeck coefficient in charge-ordered layered crystals considering different relaxation time models and magnetic field regimes, highlighting new asymptotic behaviors.

Findings

Seebeck coefficient is less in charge-ordered crystals than disordered ones in the quasi-classical region.

In strong magnetic fields, the Seebeck coefficient converges for different relaxation models.

At super strong magnetic fields, the Seebeck coefficient tends to zero as B^{-2}.

Abstract

The longitudinal Seebeck coefficient of the charge-ordered layered crystals in a strong quantizing magnetic field normal to layers plane has been determined. The conditions whereby charge ordering parameter and chemical potential are oscillating functions of magnetic field induction are considered. The longitudinal Seebeck coefficient has been calculated for two models of relaxation time:i)constant relaxation time and ii)relaxation time proportional to the longitudinal velocity. It has been shown that in a quasi-classical region of magnetic fields for the case of relaxation time proportional to the longitudinal velocity Seebeck coefficient is less than for the case of constant relaxation time. In this region for selected problem parameters it does not exceed 4.37mu\V/K.In the strong quantizing magnetic fields for both models of the relaxation time the longitudinal Seebeck coefficient is virtually the same. For selected problem parameters its maximal modulus is 2033\muV/K. At the same time, in the disordered layered crystals,in a quasi-classical region,the Seebeck coefficient is approximately one order of magnitude less than for the charge ordered crystals. In the strong magnetic fields,the Seebeck coefficient for the disordered layered crystals is factor of 7 or 9 less than for the charge ordered crystals. However,in super strong magnetic fields,under current carriers concentration in the only filled Landau sub-band,for both models of of the relaxation time the modulus of the Seebeck coefficient tends to zero according to asymptotic law \alpha_{zz}\proptoB^{-2}.