Lattice study of anisotropic quantum electrodynamics in three dimensions

Journal Article · Mon Aug 01 00:00:00 EDT 2005 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.72.054526· OSTI ID:20719302

Hands, Simon; Thomas, Iorwerth Owain ^[1]

---

1. Department of Physics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP (United Kingdom)

We present results from a Monte Carlo simulation of noncompact lattice QED in three dimensions on a 16{sup 3} lattice in which an explicit anisotropy between x and y hopping terms has been introduced into the action. This formulation is inspired by recent formulations of anisotropic QED{sub 3} as an effective theory of the non-superconducting portion of the cuprate phase diagram, with relativistic fermion degrees of freedom defined near the nodes of the gap function on the Fermi surface, the anisotropy encapsulating the different Fermi and Gap velocities at the node, and the massless photon degrees of freedom reproducing the dynamics of the phase disorder of the superconducting order parameter. Using a parameter set corresponding in the isotropic limit to broken chiral symmetry (in field theory language) or a spin density wave (in condensed matter physics language), our results show that the renormalized anisotropy, defined in terms of the ratio of correlation lengths of gauge invariant bound states in the x and y directions, exceeds the explicit anisotropy {kappa} introduced in the lattice action, implying in contrast to recent analytic results that anisotropy is a relevant deformation of QED{sub 3}. There also appears to be a chiral symmetry restoring phase transition at {kappa}{sub c}{approx_equal}4.5, implying that the pseudogap phase persists down to T=0 in the cuprate phase diagram.

• OSTI ID: 20719302
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 5 Vol. 72; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
BOUND STATE
CHIRAL SYMMETRY
COMPUTERIZED SIMULATION
CORRELATIONS
CUPRATES
DEGREES OF FREEDOM
DENSITY
FERMI LEVEL
FERMIONS
GAUGE INVARIANCE
HIGH-TC SUPERCONDUCTORS
MONTE CARLO METHOD
ORDER PARAMETERS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PHOTONS
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
SPIN