2D中的部分能隙费米子
Partially gapped fermions in 2D
摘要：
我们计算了两个密切相关的相互作用费米子模型在二维空间（2D）的平均场相图。第一个是所谓的二维t-t '-V模型，描述了在具有局域跳跃和密度-密度相互作用的正方形晶格上的无自旋费米子。第二种是所谓的2D Luttinger模型，它提供了2D t-t '-V模型的有效描述，其中费米子自由度的一部分被玻色子化精确地处理。在平均场论中，这两种模型都有电荷密度波（CDW）不稳定性，使它们在半填充时有间隙。2D t-t '-V模型具有远离半填充的显著参数区域，其中CDW和正常状态都不是化学稳定的。我们表明，2D Luttinger模型可以获得更详细的信息，这个混合区域。特别是，我们发现在2D Luttinger模型的部分间隙相，我们认为，可以描述一个完全可解的模型。
英文摘要：
We compute mean field phase diagrams of two closely related interacting fermion models in two spatial dimensions (2D). The first is the so-called 2D t-t'-V model describing spinless fermions on a square lattice with local hopping and density-density interactions. The second is the so-called 2D Luttinger model that provides an effective description of the 2D t-t'-V model and in which parts of the fermion degrees of freedom are treated exactly by bosonization. In mean field theory, both models have a charge-density-wave (CDW) instability making them gapped at half-filling. The 2D t-t'-V model has a significant parameter regime away from half-filling where neither the CDW nor the normal state are thermodynamically stable. We show that the 2D Luttinger model allows to obtain more detailed information about this mixed region. In particular, we find in the 2D Luttinger model a partially gapped phase that, as we argue, can be described by an exactly solvable model.
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