Universal Conductivity in the Two dimensional Boson Hubbard Model

Abstract

We use Quantum Monte Carlo to evaluate the conductivity $\sigma$ of the 2--dimensional disordered boson Hubbard model at the superfluid-bose glass phase boundary. At the critical point for particle density $\rho =0.5$, we find ${\sigma }_c=(0.45\pm 0.07){\sigma }_Q$, where ${\sigma }_Q=e_{\ast }^2/h$ from a finite size scaling analysis of the superfluid density. We obtain ${\sigma }_c=(0.47\pm 0.08){\sigma }_Q$ from a direct calculation of the current--current correlation function. Simulations at the critical points for other particle densities, $\rho =0.75$ and $1.0$, give similar values for $\sigma$. We discuss possible origins of the difference in this value from that recently obtained by other numerical approaches.

20 pages, figures available upon request. Tex with jnl3.tex and reforder.tex macros. cond-mat/yymmnnn

Cited by in corpus (38)

• Continuous Quantum Phase Transitions
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Non-zero temperature transport near quantum critical points
• The superconductor-insulator transition in 2D dirty boson systems
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles
• Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System
• Universal conductivity in the boson Hubbard model in a magnetic field
• Quantum Monte Carlo Study of the Disordered Attractive Hubbard Model
• Universal Scaling of the Conductivity at the Superfluid-Insulator Phase Transition
• Dual theory of the superfluid-Bose glass transition in disordered Bose-Hubbard model in one and two dimensions
• Dual superfluid-Bose glass critical point in two dimensions and the universal conductivity
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• New Universality Class at the Superconductor--Insulator Transition
• Bose-glass to Superfluid transition in the three-dimensional Bose-Hubbard Model
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Finite temperature transport at the superconductor-insulator transition in disordered systems
• $\epsilon$-Expansion of the Conductivity at the Superconductor-Mott Insulator Transition
• Effect of Disorder on Charge Density Wave and Superconducting Order in the Half-Filled Attractive Hubbard Model
• Critical behavior at superconductor-insulator phase transitions near one dimension
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Destruction of diagonal and off-diagonal long range order by disorder in two-dimensional hard core boson systems
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Bosons, gauge fields, and high-Tc cuprates
• Disorder Influences the Quantum Critical Transport at a Superconductor to Insulator Transition
• Quantum Monte Carlo Study of a Disordered 2-D Josephson Junction Array
• Supersolid phase in fully frustrated Josephson junction arrays
• Numerical analysis of the magnetic-field-tuned superconductor-insulator transition in two dimensions
• Exact duality and dual Monte-Carlo simulation for the Bosonic Hubbard model
• "Self-Dual" Quantum Critical Point on the surface of $3d$ Topological Insulator
• Numerical study of vortex system quantum melting
• Dynamics and transport near quantum-critical points
• Phase diagram of 2D array of mesoscopic granules
• Monte Carlo Simulations of an Extended Feynman-Kikuchi Model
• Josephson array of mesoscopic objects. Modulation of system properties through the chemical potential
• Divergence of Dynamical Conductivity at Certain Percolative Superconductor-Insulator Transitions