Critical conductance of the chiral 2d random flux model

Abstract

The two-terminal conductance of a random flux model defined on a square lattice is investigated numerically at the band center using a transfer matrix method. Due to the chiral symmetry, there exists a critical point where the ensemble averaged mean conductance is scale independent. We also study the conductance distribution function which depends on the boundary conditions and on the number of lattice sites being even or odd. We derive a critical exponent $\nu =0.42\pm 0.05$ for square samples of even width using one-parameter scaling of the conductance. This result could not be obtained previously from the divergence of the localization length in quasi-one-dimensional systems due to pronounced finite-size effects.

arXiv commentEP2DS-17, Genua 2007, accepted for publication in Physica E

References in corpus (6)

• Delocalization in coupled one-dimensional chains
• Anderson localization due to random magnetic field in two dimensions
• Passive scalars, random flux, and chiral phase fluids
• The random magnetic flux problem in a quantum wire
• Field Theory of the Random Flux Model
• Critical conductance of two-dimensional chiral systems with random magnetic flux

Cited by in corpus (4)

• Disorder-driven splitting of the conductance peak at the Dirac point in graphene
• Scaling at chiral quantum critical points in two dimensions
• Temperature-driven BCS-BEC crossover in a coupled boson-fermion system
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids