Large-q asymptotics of the random bond Potts model

Abstract

We numerically examine the large-q asymptotics of the q-state random bond Potts model. Special attention is paid to the parametrisation of the critical line, which is determined by combining the loop representation of the transfer matrix with Zamolodchikov's c-theorem. Asymptotically the central charge seems to behave like c(q) = 1/2 log_2(q) + O(1). Very accurate values of the bulk magnetic exponent x_1 are then extracted by performing Monte Carlo simulations directly at the critical point. As q -> infinity, these seem to tend to a non-trivial limit, x_1 -> 0.192 +- 0.002.

9 pages, no figures

Cited by in corpus (86)

• Spintronics: Fundamentals and applications
• Numerical atomic orbitals for linear scaling
• Strong disorder RG approach of random systems
• Evidence for a Low-Spin to Intermediate-Spin State Transition in LaCoO3
• Transport and magnetic properties of GdBaCo_{2}O_{5+x} single crystals: A cobalt oxide with square-lattice CoO_2 planes over a wide range of electron and hole doping
• Selective Spin-State Switch and Metal-Insulator Transition in \boldmath $\mathrm{GdBaC}{\mathrm{o}}_2{\mathrm{O}}_{5.5}$
• Fingerprints of spin-orbital physics in cubic Mott insulators: Magnetic exchange interactions and optical spectral weights
• Density dependent spin polarisation in ultra low-disorder quantum wires
• Ising-like Spin Anisotropy and Competing Antiferromagnetic - Ferromagnetic Orders in GdBaCo_{2}O_{5.5} Single Crystals
• Even-odd behavior of conductance in monatomic sodium wires
• Effect of strain on surface diffusion in semiconductor heteroepitaxy
• Spin structure and magnetic phase transitions in TbBaCo2O5.5
• First-principles study of adhesion at Cu/SiO${}_2$ interfaces
• Ground state properties of ferromagnetic metal/conjugated polymer interfaces
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Re-examination of orbital ordering in LaMnO${}_3$: Electron-electron and electron-lattice interactions
• Experimental study of weak antilocalization effect in a high mobility InGaAs/InP quantum well
• Effects of uniaxial strain in LaMnO_3
• Does theory of quantum correction to conductivity agree with experimental data in 2D systems?
• Exciton bimolecular annihilation dynamics in supramolecular nanostructures of conjugated oligomers
• Spin state and phase competition in TbBaCo_{2}O_{5.5} and the lanthanide series LnBaCo_{2}O_{5+δ} (0<=δ<=1)
• Quantum corrections to conductivity: from weak to strong localization
• Increasing of entanglement entropy from pure to random quantum critical chains
• Electron-phonon scattering in quantum point contacts
• Electronic and magnetic properties of the (001) surface of hole-doped manganites
• Strain selection of charge and orbital ordering patterns in half-doped manganites
• Curvature-driven coarsening in the two dimensional Potts model
• Antilocalization and spin-orbit coupling in hole strained GaAs/InGaAs/GaAs quantum well heterostructures
• Temperature Dependence of Low-Lying Electronic Excitations of LaMnO_3
• Anisotropic Optic Conductivities due to Spin and Orbital Orderings in LaVO3 and YVO3: First-Principles Studies
• Hydrostatic pressure dependence of the luminescence and Raman frequencies in polyfluorene
• Topics in coarsening phenomena
• Magnetization and Magnetotransport of LnBaCo2O5.5 (Ln=Gd, Eu) Single Crystals
• Mesoscopic effects in tunneling between parallel quantum wires
• Dynamical mean-field study of ferromagnetism in the periodic Anderson model
• Localized Character of 4f Electrons in CeRh${}_x$(x=2,3) and CeNi${}_x$(x=2,5)
• Critical interfaces in the random-bond Potts model
• Localization effects and inelastic scattering in disordered heavy electrons
• Dynamical Mean Field Theory of Double Perovskite Ferrimagnets
• Disorder induced rounding of the phase transition in the large q-state Potts model
• Spin fluctuations and pseudogap in the two-dimensional half-filled Hubbard model at weak coupling
• The Random-bond Potts model in the large-q limit
• Exact results for quenched bond randomness at criticality
• Griffiths phase and critical behavior of the 2D Potts models with long-range correlated disorder
• Critical and tricritical singularities of the three-dimensional random-bond Potts model for large $q$
• Crossover from 2-dimensional to 1-dimensional collective pinning in NbSe3
• Itinerant Ferromagnetism in the Periodic Anderson Model
• Phase diagram and critical exponents of a Potts gauge glass
• Self-consistent theory of current and voltage noise in multimode ballistic conductors
• Layer charge instability in unbalanced bilayer systems in the quantum Hall regime
• On superuniversality in the $q$-state Potts model with quenched disorder
• Strong-coupling scenario of a metamagnetic transition
• Doping dependence of the exchange energies in bilayer manganites: Role of orbital degrees of freedom
• Hysteresis in the quantum Hall regimes in electron double quantum well structures
• Single particle spectra of charge transfer insulators by cluster perturbation theory - the correlated band structure of NiO
• Quenched bond dilution in two-dimensional Potts models
• Multiscaling of energy correlations in the random-bond Potts model
• Auger Effect in the High-Resolution Ce 3d-edge Resonant Photoemission
• Scale Invariance and Self-averaging in disordered systems
• Particles, conformal invariance and criticality in pure and disordered systems
• Renormalization group for 2D fermions with a flat Fermi surface
• High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials
• Critical lines in the pure and disordered $O(N)$ model
• Weak localization in macroscopically inhomogeneous two-dimensional systems: a simulation approach
• Hysteresis and spin phase transitions in quantum wires in the integer quantum Hall regime
• On the phase diagram of the random bond $q$-state Potts model
• Peierls transition as spatially inhomogeneous gap suppression
• Analysis of negative magnetoresistance. Statistics of closed paths. II. Experiment
• Electronic states, Mott localization, electron-lattice coupling, and dimerization for correlated one-dimensional systems. II
• Effect of nearest- and next-nearest neighbor interactions on the spin-wave velocity of one-dimensional quarter-filled spin-density-wave conductors
• Quasiperiodic functions theory and the superlattice potentials for a two-dimensional electron gas
• Ferromagnetism in the Two-Dimensional Periodic Anderson Model
• Doping-dependent study of the periodic Anderson model in three dimensions
• Phase-transitions of the random bond Potts chain with long-range interactions
• Long-range quenched bond disorder in the bi-dimensional Potts model
• Low field negative magnetoresistance in double layer structures
• Interfacial adsorption in Potts models on the square lattice
• Dephasing Effect in Photon-Assisted Resonant Tunneling through Quantum Dots
• Polaronic Signatures in Mid-Infrared Spectra: Prediction for LaMnO3 and CaMnO3
• Hyperscaling violation in the 2D 8-state Potts model with long-range correlated disorder
• Dephasing of Electrons by Two-Level Defects in Quantum Dots
• Percolation Phenomena in Low and High Density Systems
• Interfacial adsorption in two-dimensional pure and random-bond Potts models
• Phase diagram and the strong-coupling fixed point in the disordered O(n) loop model
• Excess entropy and central charge of the two-dimensional random-bond Potts model in the large-Q limit
• Interface mapping in two-dimensional random lattice models