Thermal broadening of the Coulomb blockade peaks in quantum Hall interferometers

Abstract

We demonstrate that the differential magnetic susceptibility of a fractional quantum Hall disk, representing a Coulomb island in a Fabry--Perot interferometer, is exactly proportional to the island's conductance and its paramagnetic peaks are the equilibrium counterparts of the Coulomb blockade conductance peaks. Using as a thermodynamic potential the partition functions of the edge states' effective conformal field theory we find the positions of the Coulomb blockade peaks, when the area of the island is varied, the modulations of the distance between them as well as the thermal decay and broadening of the peaks when temperature is increased. The finite-temperature estimates of the peak's heights and widths could give important information about the experimental observability of the Coulomb blockade. In addition, the predicted peak asymmetry and displacement at finite temperature due to neutral multiplicities could serve to distinguish different fractional quantum Hall states with similar zero-temperature Coulomb blockade patterns.

6 pages, 6 figures; published version

References in corpus (6)

• The non-Abelian Interferometer
• Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
• Experimental signatures of non-Abelian statistics in clustered quantum Hall states
• Coulomb Blockade Doppelgangers in Quantum Hall States
• Chiral Partition Functions of Quantum Hall Droplets
• Transport through two-level quantum dots weakly coupled to ferromagnetic leads

Cited by in corpus (6)

• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Partition Functions of Non-Abelian Quantum Hall States
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Thermopower and thermoelectric power factor of ${\mathbb{Z}}_k$ parafermion quantum dots
• Thermopower in the Coulomb blockade regime for Laughlin quantum dots
• Thermoelectric characteristics of ${\mathbb{Z}}_k$ parafermion Coulomb islands