Geometric responses of the Pfaffian state
Geometric responses of the Pfaffian state
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DOI：
10.1103/physrevb.99.205158
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发表时间：
2019-05-31
影响因子：
3.7
通讯作者：
Klevtsov, Semyon
中科院分区：
文献类型：
--
作者：
Dwivedi, Vatsal;Klevtsov, Semyon
定义和研究了具有任意度规和非均匀磁场的Riemann曲面上的Pfaffian态，并导出了它的普适输运系数。根据路径积分方法，我们计算了生成泛函，它编码了系统对背景度规和磁场变化的线性响应，并用它计算了大N展开式中电荷密度的前导和副载修正。我们还给出了长波极限下O(k(6))引力反常对Pfaffian态静态结构因子的贡献。
We define and study the Pfaffian state on Riemann surfaces with arbitrary metrics and an inhomogeneous magnetic field and derive its universal transport coefficients. Following a path integral approach, we compute the generating functional which encodes the linear response of the system to a variation of the background metric and the magnetic field and use it to compute the leading and subleading corrections to the charge density in a large-N expansion. We also present a derivation of gravitational anomaly contribution at O(k(6)) to the static structure factor for the Pfaffian state in the long wavelength limit.