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We demonstrate that the differential magnetic susceptibility of a fractionalquantum Hall disk, representing a Coulomb island in a Fabry--Perotinterferometer, is exactly proportional to the island's conductance and itsparamagnetic peaks are the equilibrium counterparts of the Coulomb blockadeconductance peaks. Using as a thermodynamic potential the partition functionsof the edge states' effective conformal field theory we find the positions ofthe Coulomb blockade peaks, when the area of the island is varied, themodulations of the distance between them as well as the thermal decay andbroadening of the peaks when temperature is increased. The finite-temperatureestimates of the peak's heights and widths could give important informationabout the experimental observability of the Coulomb blockade. In addition, thepredicted peak asymmetry and displacement at finite temperature due to neutralmultiplicities could serve to distinguish different fractional quantum Hallstates with similar zero-temperature Coulomb blockade patterns.

Thermal broadening of the Coulomb blockade peaks in quantum Hall interferometers