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Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions

P. J. Forrester
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Abstract

The $N$-particle free fermion state for quantum particles in the plane subject to a perpendicular magnetic field, and with doubly periodic boundary conditions, is written in a product form. The absolute value of this is used to formulate an exactly solvable one-component plasma model, and further motivates the formulation of an exactly solvable two-species Coulomb gas. The large $N$ expansion of the free energy of both these models exhibits the same O(1) term. On the basis of a relationship to the Gaussian free field, this term is predicted to be universal for conductive Coulomb systems in doubly periodic boundary conditions.

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P. J. Forrester. 2005-12-12. Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions. https://doi.org/10.1088/0305-4470%2F39%2F41%2Fs14

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