Varma Chandra M
Physics Department, University of California, Berkeley 94704, California, USA and Physics Department, University of California, Riverside 92521, California, USA.
Phys Rev Lett. 2022 May 20;128(20):206601. doi: 10.1103/PhysRevLett.128.206601.
Resistivity in the quantum-critical fluctuation region of several metallic compounds such as the cuprates, the heavy fermions, Fe chalogenides and pnictides, Moiré bilayer graphene, and WSe_{2} is linear in temperature T as well as in the magnetic field H_{z} perpendicular to the planes. Scattering of fermions by the fluctuations of a time-reversal odd polar vector field Ω has been shown to give a linear in T resistivity and other marginal Fermi-liquid properties. An extension of this theory to an applied magnetic field is presented. A magnetic field is shown to generate a density of vortices in the field Ω proportional to H_{z}. The elastic scattering of fermions from the vortices gives a resistivity linear in H_{z} with the coefficient varying as the marginal Fermi-liquid susceptibility ln(ω_{c}/T). Quantitative comparison with experiments is presented for cuprates and Moiré bilayer graphene.
几种金属化合物，如铜酸盐、重费米子、铁硫族化合物和磷化物、莫尔双层石墨烯以及二硒化钨，在其量子临界涨落区域的电阻率在温度(T)以及垂直于平面的磁场(H_{z})中都是线性的。费米子被时间反演奇极矢量场(\Omega)的涨落散射已被证明会产生与温度(T)成正比的线性电阻率以及其他边缘费米液体性质。本文将该理论扩展到外加磁场情况。结果表明，磁场会在(\Omega)场中产生与(H_{z})成正比的涡旋密度。费米子与涡旋的弹性散射产生与(H_{z})成正比的电阻率，其系数随边缘费米液体磁化率(\ln(\omega_{c}/T))变化。文中给出了与铜酸盐和莫尔双层石墨烯实验结果的定量比较。
