Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study

Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
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DOI:
10.1103/physrevb.99.165126
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发表时间:
2018-12
期刊:
影响因子:
3.7
通讯作者:
R. Samajdar;S. Chatterjee;S. Sachdev;M. Scheurer
R. Samajdar;S. Chatterjee;S. Sachdev;M. Scheurer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Samajdar;S. Chatterjee;S. Sachdev;M. Scheurer

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受最近高T_c铜氧化物超导体在磁场中的输运测量的启发,我们研究了具有拓扑有序的材料的热霍尔电导率,重点研究了中性自旋子的贡献.具体地,分析了正方晶格上海森堡反铁磁体的不同的Schwinger玻色子平均场Ans“atze。我们允许Dzyaloshinskiii-Moriya相互作用,以及与标量自旋手征相关的附加项,这些手征打破了时间反演和反射对称性,但保留了它们的乘积。结果表明,这些标量自旋手征,这可以自发产生或诱导的磁场的轨道耦合,可以导致自旋带与非平凡的陈数和显着增强的热霍尔电导率。关联状态与零温度磁序,这是热波动在任何$Tg0$,也表现出类似的增强热霍尔电导率。
Motivated by recent transport measurements in high-${T}_{c}$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons. Specifically, different Schwinger boson mean-field Ans\"atze for the Heisenberg antiferromagnet on the square lattice are analyzed. We allow for both Dzyaloshinskii-Moriya interactions, and additional terms associated with scalar spin chiralities that break time-reversal and reflection symmetries, but preserve their product. It is shown that these scalar spin chiralities, which can either arise spontaneously or are induced by the orbital coupling of the magnetic field, can lead to spinon bands with nontrivial Chern numbers and significantly enhanced thermal Hall conductivity. Associated states with zero-temperature magnetic order, which is thermally fluctuating at any $Tg0$, also show a similarly enhanced thermal Hall conductivity.