Thermopower in the Coulomb blockade regime for Laughlin quantum dots

TL;DR

This paper derives a finite-temperature thermopower expression for Laughlin quantum dots in the Coulomb blockade regime using conformal field theory, revealing insights into the single-electron spectrum through thermopower analysis.

Contribution

It introduces a novel conformal field theory-based method to calculate thermopower in Coulomb-blockaded Laughlin quantum dots at finite temperature.

Findings

Thermopower expression matches conductance behavior at low temperatures.

Thermopower effectively reveals the single-electron energy spectrum.

Method provides a new tool for analyzing quantum dot thermoelectric properties.

Abstract

Using the conformal field theory partition function of a Coulomb-blockaded quantum dot, constructed by two quantum point contacts in a Laughlin quantum Hall bar, we derive the finite-temperature thermodynamic expression for the thermopower in the linear-response regime. The low-temperature results for the thermopower are compared to those for the conductance and their capability to reveal the structure of the single-electron spectrum in the quantum dot is analyzed.