Dirac Monopole and Spin Hall Conductance for Anisotropic Superconductivities

Details Dirac Monopole and Spin Hall Conductance for Anisotropic Superconductivities Dirac Monopole and Spin Hall Conductance for Anisotropic Superconductivities

2003-11-12

arxiv.org/abs/cond-mat/0311258v1

Physica C, 388-389, 78 (2003)

Physics

Condensed Matter

Superconductivity

3 figures. Appeared in proceedings of the LT23

Scientific paper

10.1016/S0921-4534(02)02653-9

Concept of the topological order is useful to characterize anisotropic superconductivities. The spin Hall conductance distinguishes superconductivities with the same symmetry. The Chern number for the spin Hall conductance is given by the covering degree of a closed surface around the Dirac monopole. It gives a clear illustration for the on-critical condition for the $d_{x^2-y^2}$ supreconductivitiy with non zero chemical potential. Non trivial topological orders on the triangular lattice are also presented and demonstrated by the topological objects.

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