Berry curvature on the Fermi surface: Anomalous Hall effect as a topological Fermi-liquid property

Berry curvature on the Fermi surface: Anomalous Hall effect as a topological Fermi-liquid property
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DOI:
10.1103/physrevlett.93.206602
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发表时间:
2004-11-12
影响因子:
8.6
通讯作者:
Haldane, FDM
Haldane, FDM
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Haldane, FDM

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金属铁磁体中的内禀反常霍尔效应是由准粒子在费米面上的绝热运动所累积的Berry相所控制的,并且是纯粹的费米液体性质,而不是像以前所假设的那样是像朗道抗磁性那样的体费米海性质. Berry相是朗道费米液体理论中的一个新的拓扑成分,它必须在存在破缺反转或时间反演对称性的情况下加入。
The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a bulk Fermi sea property like Landau diamagnetism, as has been previously supposed. Berry phases are a new topological ingredient that must be added to Landau Fermi-liquid theory in the presence of broken inversion or time-reversal symmetry.