Dense Chern-Simons matter with fermions at large N
Dense Chern-Simons matter with fermions at large N
复制标题
密集的陈-西蒙斯物质与大 N 的费米子
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
D. Son
中科院分区：
文献类型：
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作者：
M. Geracie;M. Goykhman;D. Son
本文研究了大N极限下耦合到大质量费米子的Chern-Simons理论的性质。我们证明，在低温下，该系统是在费米液体状态，其功能可以系统地比较朗道费米液体的标准唯象理论。这包括匹配微观导出的朗道参数与热力学预测的朗道费米液体理论。我们还计算了零温有限化学势下的电导率和粘滞系数张量。特别是，我们指出，霍尔电导率的相互作用系统是不完全占的Berry通量通过费米球。此外，在非相对论极限下的热力学研究揭示了强耦合下的新现象。当t Hooft耦合系数λ接近1时，系统呈现出一个扩展的中温区，其中的热力学既不能用量子费米液体理论描述，也不能用经典理想气体定律描述.相反，它可以被解释为弱耦合的量子玻色气体。
A bstractIn this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes matching microscopically derived Landau parameters with thermodynamic predictions of Landau Fermi liquid theory. We also calculate the exact conductivity and viscosity tensors at zero temperature and finite chemical potential. In particular we point out that the Hall conductivity of an interacting system is not entirely accounted for by the Berry flux through the Fermi sphere. Furthermore, investigation of the thermodynamics in the non-relativistic limit reveals novel phenomena at strong coupling. As the ’t Hooft coupling λ approaches 1, the system exhibits an extended intermediate temperature regime in which the thermodynamics is described by neither the quantum Fermi liquid theory nor the classical ideal gas law. Instead, it can be interpreted as a weakly coupled quantum Bose gas.