Renormalization group theory of nematic ordering in d-wave superconductors

Abstract

We examine the quantum theory of the spontaneous breaking of lattice rotation symmetry in d-wave superconductors on the square lattice. This is described by a field theory of an Ising nematic order parameter coupled to the gapless fermionic quasiparticles. We determine the structure of the renormalization group to all orders in a 1/N_f expansion, where N_f is the number of fermion spin components. Asymptotically exact results are obtained for the quantum critical theory in which, as in the large N_f theory, the nematic order has a large anomalous dimension, and the fermion spectral functions are highly anisotropic.

17 pages, 8 figures

References in corpus (4)

• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• Theory of the nodal nematic quantum phase transition in superconductors

Cited by in corpus (4)

• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Experimental observables near a nematic quantum critical point in the pnictide and cuprate superconductors
• Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45
• Signatures of the nematic ordering transitions in the thermal conductivity of d-wave superconductors