A 2D Luttinger model - Mathematical PhysicsReport as inadecuate

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Abstract: A detailed derivation of a two dimensional 2D low energy effective modelfor spinless fermions on a square lattice with local interactions is given.This derivation utilizes a particular continuum limit that is justified byphysical arguments. It is shown that the effective model thus obtained can betreated by exact bosonization methods. It is also discussed how this effectivemodel can be used to obtain physical information about the correspondinglattice fermion system.

Author: Edwin Langmann

Source: https://arxiv.org/

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