A two dimensional analogue of the Luttinger model
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2006
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| _version_ | 1866909469623975936 |
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| author | Langmann, Edwin |
| author_facet | Langmann, Edwin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_ph_0606041 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | A two dimensional analogue of the Luttinger model Langmann, Edwin Mathematical Physics Strongly Correlated Electrons 81T27, 81V70 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. |
| title | A two dimensional analogue of the Luttinger model |
| topic | Mathematical Physics Strongly Correlated Electrons 81T27, 81V70 |
| url | https://arxiv.org/abs/math-ph/0606041 |