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arXiv · 0709.1469

Intimate relations between electronic nematic, d-density wave and d-wave superconducting states

Hae-Young Kee·Hyeonjin Doh·Thomas Grzesiak
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Abstract

This paper consists of two important theoretical observations on the interplay between l = 2 condensates; d-density wave (ddw), electronic nematic and d-wave superconducting states. (1) There is SO(4) invariance at a transition between the nematic and d-wave superconducting states. The nematic and d-wave pairing operators can be rotated into each other by pseudospin SU(2) generators, which are s-wave pairing and electron density operators. The difference between the current work and the previous O(4) symmetry at a transition between the ddw and d-wave superconducting states (Nayak 2000 Phys. Rev. B 62 R6135) is presented. (2) The nematic and ddw operators transform into each other under a unitary transformation. Thus, when a Hamiltonian is invariant under such a transformation, the two states are exactly degenerate. The competition between the nematic and ddw states in the presence of a degeneracy breaking term is discussed.

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Hae-Young Kee, Hyeonjin Doh, Thomas Grzesiak. 2008-08-13. Intimate relations between electronic nematic, d-density wave and d-wave superconducting states. https://doi.org/10.1088/0953-8984%2F20%2F25%2F255248

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