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

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.

4 pages, 1 figures, updated to the published version

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Cited by in corpus (11)

• Theory of Intertwined Orders in High Temperature Superconductors
• Nematic Fermi Fluids in Condensed Matter Physics
• Effective SU(2) theory for the pseudogap state
• $\eta$ collective mode as A${}_{1g}$ Raman resonance in cuprate superconductors
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Nematicity as a route to a magnetic field-induced spin density wave order; application to the high temperature cuprates
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Amplitude mode of the $d$-density wave state and its relevance to high-$T_c$ cuprates
• Role of electronic nematicity in the interplay between s- and d-wave broken-symmetry states
• Spin loop-current textures in Hubbard models
• Spontaneous Currents in Spinless Fermion Lattice Models at the Strong-Coupling Limit