Lattice study of anisotropic quantum electrodynamics in three dimensions
Abstract
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 nonsuperconducting 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 phasemore »
 Authors:

 Department of Physics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP (United Kingdom)
 Publication Date:
 OSTI Identifier:
 20719302
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. B, Condensed Matter and Materials Physics
 Additional Journal Information:
 Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevB.72.054526; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 10980121
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; ANISOTROPY; BOUND STATE; CHIRAL SYMMETRY; COMPUTERIZED SIMULATION; CORRELATIONS; CUPRATES; DEGREES OF FREEDOM; DENSITY; FERMI LEVEL; FERMIONS; GAUGE INVARIANCE; HIGHTC SUPERCONDUCTORS; MONTE CARLO METHOD; ORDER PARAMETERS; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; PHOTONS; QUANTUM ELECTRODYNAMICS; RELATIVISTIC RANGE; SPIN
Citation Formats
Hands, Simon, and Thomas, Iorwerth Owain. Lattice study of anisotropic quantum electrodynamics in three dimensions. United States: N. p., 2005.
Web. doi:10.1103/PhysRevB.72.054526.
Hands, Simon, & Thomas, Iorwerth Owain. Lattice study of anisotropic quantum electrodynamics in three dimensions. United States. doi:10.1103/PhysRevB.72.054526.
Hands, Simon, and Thomas, Iorwerth Owain. Mon .
"Lattice study of anisotropic quantum electrodynamics in three dimensions". United States. doi:10.1103/PhysRevB.72.054526.
@article{osti_20719302,
title = {Lattice study of anisotropic quantum electrodynamics in three dimensions},
author = {Hands, Simon and Thomas, Iorwerth Owain},
abstractNote = {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 nonsuperconducting 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.},
doi = {10.1103/PhysRevB.72.054526},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {10980121},
number = 5,
volume = 72,
place = {United States},
year = {2005},
month = {8}
}