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arXiv 1407.7540hep-thcond-mat.mes-hall
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欧拉流与相对论宇称奇输运

The Euler current and relativistic parity odd transport

Siavash Golkar, Matthew M. Roberts, Dam T. Son

摘要:

对于具有单位矢量场的奇维时空,我们引入了一个新的拓扑流,它是守恒的,其电荷等于偶维类空叶理的欧拉特征标.这种电流的存在使我们能够在描述相对论量子霍尔态和(2+1)维超流体的有效场论中引入新的陈-西蒙斯型项。利用有效场论,我们计算了各种关联函数,并确定了输运系数。在量子霍尔的情况下,这个电流提供了自然的相对论推广的文-泽项,需要在量子霍尔系统的位移和霍尔粘度的特点。对于超流体的情况下,这一项需要有非零霍尔粘度和描述非s波配对的超流体。

英文摘要:

For a spacetime of odd dimensions endowed with a unit vector field, we introduce a new topological current that is identically conserved and whose charge is equal to the Euler character of the even dimensional spacelike foliations. The existence of this current allows us to introduce new Chern-Simons-type terms in the effective field theories describing relativistic quantum Hall states and (2+1) dimensional superfluids. Using effective field theory, we calculate various correlation functions and identify transport coefficients. In the quantum Hall case, this current provides the natural relativistic generalization of the Wen-Zee term, required to characterize the shift and Hall viscosity in quantum Hall systems. For the superfluid case this term is required to have nonzero Hall viscosity and to describe superfluids with non s-wave pairing.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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