Termination of Multifractal Behaviour for Critical Disordered Dirac Fermions

Abstract

We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or supersymmetry approaches. It is shown that the proper treatment of the conformal theory leads to a different multifractal scaling behaviour than initially expected. Moreover, the previous replica solution is found to be incorrect at the level of higher correlation functions.

4 pages, no figures

Cited by in corpus (35)

• Multifractality and critical fluctuations at the Anderson transition
• Graphene via large N I: Renormalization
• Quasiparticle transport and localization in high-T_c superconductors
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Towards a Field Theory of the Plateau Transition
• Disordered Systems and the Replica Method in AdS/CFT
• A Classification of random Dirac fermions
• Random Dirac Fermions and Non-Hermitian Quantum Mechanics
• Surface criticality and multifractality at localization transitions
• Magnetic properties of Sr_2Fe_1+xMo_1-xO_6 with -1 <= x <= 0.25
• The random magnetic flux problem in a quantum wire
• Disordered Dirac Fermions: the Marriage of Three Different Approaches
• Wave function statistics and multifractality at the spin quantum Hall transition
• Disordered Dirac Fermions: Multifractality Termination and Logarithmic Conformal Field Theories
• Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions
• The effects of weak disorders on Quantum Hall critical points
• Boundary multifractality in critical 1D systems with long-range hopping
• Path Integral Approach to String Theory on AdS_3
• Logarithmic Operators in the Theory of Plateau Transition
• SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT
• Logarithmic operators in the SL(2,R) WZNW model
• Gradient Flow in Logarithmic Conformal Field Theory
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• Scaling near random criticality in two-dimensional Dirac fermions
• Bond-disordered Anderson model on a two dimensional square lattice - chiral symmetry and restoration of one-parameter scaling
• Logarithmic Currents in the SU(2)_0 WZNW model
• Local density of states in disordered graphene
• Quenched Averaged Correlation Functions of the Random Magnets
• Extended chiral algebras in the SU(2)_0 WZNW model
• Renormalization group for network models of Quantum Hall transitions
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Stress Energy tensor in LCFT and the Logarithmic Sugawara construction
• 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