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.
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Notes
- 1.
For a one-dimensional circular edge all thermodynamic quantities depend on the magnetic flux not on the magnetic filed itself. Thus, the flux of the constant B has the same effect on the partition function as the singular AB flux, which is however, easier to take into account analytically [8].
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Acknowledgements
I thank Andrea Cappelli, Guillermo Zemba and Bojko Bakalov for many helpful discussions. This work has been partially supported by the Alexander von Humboldt Foundation under the Return Fellowship and Equipment Subsidies Programs and by the Bulgarian Science Fund under Contract No. DFNI-E 01/2.
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Georgiev, L.S. (2014). Thermopower in the Coulomb Blockade Regime for Laughlin Quantum Dots. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_19
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DOI: https://doi.org/10.1007/978-4-431-55285-7_19
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