Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
复制标题
与非线性能量色散和各向异性相的自发生成强相关的费米子
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
L. Oxman
中科院分区：
文献类型：
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作者：
D. G. Barci;L. Oxman
利用玻色化方法研究了dg~2维非线性色散关系的费米子系统。我们明确地显示了如何带曲率引起的相互作用项的玻色子版本的模型。尽管这些项与朗道费米液体不动点的微扰无关，但当不稳定性发生时，它们成为相关的微扰。使用相干态路径积分技术，我们建立了有效的行动，支配费米面波动的动力学。我们考虑了费米子相互作用和能带曲率对负的朗道参数（Pomeranchuck不稳定性）触发的可能的各向异性相的综合影响。特别是，我们详细研究了各向同性/向列相/六方量子相变的相图。
Using the bosonization approach, we study fermionic systems with a nonlinear dispersion relation in dimension $dg~2.$ We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these terms are perturbatively irrelevant in relation to the Landau Fermi-liquid fixed point, they become relevant perturbations when instabilities take place. Using a coherent-state path-integral technique, we built up the effective action that governs the dynamics of the Fermi-surface fluctuations. We consider the combined effect of fermionic interactions and band curvature on possible anisotropic phases triggered by negative Landau parameters (Pomeranchuck instabilities). In particular, we study in some detail the phase diagram for the isotropic/nematic/hexatic quantum phase transition.