论文标题
大型$ n $关键费米表面的理论II：电导率
Large $N$ theory of critical Fermi surfaces II: conductivity
论文作者
论文摘要
可以通过选择费米亚式的Yukawa耦合在$ 1/n $扩展中以$ 1/n $扩展来描述的费米表面在$ n $维的风味空间中是随机的，但在翻译下是不变的。我们在两个空间维度中计算出临界标量的两个空间维度的电导率。我们找到了drude的贡献，并验证提出的$ 1/ω^{2/3} $对频率$ω$以凸面费米表面的速度$ω$贡献的贡献。我们还描述了费米子的杂质散射的影响，并发现自能量类似于边缘费米液体，但电阻率和光导率像费米液体一样行为。
A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity of such a theory in two spatial dimensions for a critical scalar. We find a Drude contribution, and verify that the proposed $1/ω^{2/3}$ contribution to the optical conductivity at frequency $ω$ has vanishing co-efficient for a convex Fermi surface. We also describe the influence of impurity scattering of the fermions, and find that while the self energy resembles a marginal Fermi liquid, the resistivity and optical conductivity behave like a Fermi liquid.
