Negative dimensional operators in the disordered critical points of Dirac fermions

Abstract

Recently, in an attempt to study disordered criticality in Quantum Hall systems and $d$-wave superconductivity, it was found that two dimensional random Dirac fermion systems contain a line of critical points which is connected to the pure system. We use bosonization and current algebra to study properties of the critical line and calculate the exact scaling dimensions of all local operators. We find that the critical line contains an infinite number of relevant operators with negative scaling dimensions.

12 pages, revtex, no figures

References in corpus (2)

• Disorder Effects in Two-Dimensional d-wave Superconductors
• The mechanism of spin and charge separation in one dimensional quantum antiferromagnets

Cited by in corpus (33)

• The electronic properties of graphene
• Local defects and ferromagnetism in graphene layers
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Exact calculation of multifractal exponents of the critical wave function of Dirac fermions in a random magnetic field
• Disorder and interaction effects in two dimensional graphene sheets
• On the SU(2|1) WZW model and its statistical mechanics applications
• Continuum Limit of the Integrable sl(2/1) 3-\bar{3} Superspin Chain
• Density of states for the $\pi$-flux state with bipartite real random hopping only: A weak disorder approach
• The integer quantum Hall plateau transition is a current algebra after all
• Random Dirac Fermions and Non-Hermitian Quantum Mechanics
• Near Critical States of Random Dirac Fermions
• Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
• Relating c<0 and c>0 Conformal Field Theories
• The effects of weak disorders on Quantum Hall critical points
• The 4-loop beta-function in the 2D Non-Abelian Thirring model, and comparison with its conjectured "exact" form
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Spectral Statistics in Chiral-Orthogonal Disordered Systems
• Random network models with variable disorder of geometry
• Does quasi-long-range order in the two-dimensional XY model really survive weak random phase fluctuations?
• Disordered d-wave superconductors with interactions
• Minimal conductivity of rippled graphene with topological disorder
• Plateaux Transitions in the Pairing Model:Topology and Selection Rule
• Symmetry Nonrestoration in a Gross-Neveu Model with Random Chemical Potential
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Marginal CFT perturbations at the integer quantum Hall transition
• Random hopping fermions on bipartite lattices: Density of states, inverse participation ratios, and their correlations in a strong disorder regime
• Interactions, disorder and local defects in graphite
• Strong disorder effects of a Dirac fermion with a random vector field
• Molecular-orbital representation with random U(1) variables
• Lattice Dirac fermions in a non-Abelian random gauge potential: Many flavors, chiral symmetry restoration and localization
• Supersymmetry on a lattice and Dirac fermions in a random vector potential
• Two-dimensional Dirac fermions with random axial-vector potential