Theory of the nodal nematic quantum phase transition in superconductors

Details Theory of the nodal nematic quantum phase transition in superconductors Theory of the nodal nematic quantum phase transition in superconductors

2007-05-28

arxiv.org/abs/0705.4099v3

Phys. Rev. B vol 77, 184514 (2008)

Physics

Condensed Matter

Superconductivity

9 page, 4 figures, an error in one of expressions corrected and a new author was added. New references and footnotes are added

Scientific paper

10.1103/PhysRevB.77.184514

We study the character of an Ising nematic quantum phase transition (QPT) deep inside a d-wave superconducting state with nodal quasiparticles in a two-dimensional tetragonal crystal. We find that, within a 1/N expansion, the transition is continuous. To leading order in 1/N, quantum fluctuations enhance the dispersion anisotropy of the nodal excitations, and cause strong scattering which critically broadens the quasiparticle (qp) peaks in the spectral function, except in a narrow wedge in momentum space near the Fermi surface where the qp's remain sharp. We also consider the possible existence of a nematic glass phase in the presence of weak disorder. Some possible implications for cuprate physics are also discussed.

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