A two dimensional analogue of the Luttinger model

Details A two dimensional analogue of the Luttinger model A two dimensional analogue of the Luttinger model

2006-06-17

arxiv.org/abs/math-ph/0606041v3

Physics

Mathematical Physics

v1: 9 pages, 1 figure v2: 10 pages, 1 figure; some change in notation and corrections; updated references v3: 15 pages; 1 figu

Scientific paper

We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling. In this derivation, we use certain approximations that we motivate by physical arguments. We also present mathematical results that allow an exact treatment of parts of the degrees of freedom of this model by bosonization, and we propose to treat the remaining degrees of freedom by mean field theory.

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