Metallic transport of hard core bosons

Abstract

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly dependent on boson filling. The zeroth order Hall coefficient diverges toward zero and unit fillings, and reverses its sign at half filling. The correction terms, which are calculated up to fourth (Krylov) orders, do not alter this behavior. The high temperature thermal Hall coefficient is reversed relative to the electric Hall coefficient. We discuss relevance of HCB transport to the metallic state of short coherence length superconductors.

arXiv commentNew version is a longer review paper

References in corpus (25)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Light-induced gauge fields for ultracold atoms
• Quantum Monte Carlo with Directed Loops
• Phase separation in supersolids
• Oscillating Superfluidity of Bosons in Optical Lattices
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• Plaquette Boson-Fermion Model of Cuprates
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Superconducting, Insulating, and Anomalous Metallic Regimes in a Gated Two-Dimensional Semiconductor-Superconductor Array
• Spin transport of weakly disordered Heisenberg chain at infinite temperature
• Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model
• Scaling of the superfluid density in high-temperature superconductors
• "Bad Metal" Conductivity of Hard Core Bosons
• Observation of a superfluid Hall effect
• Dynamics and Conductivity Near Quantum Criticality
• A Sum Rule for Thermal Conductivity and Dynamical Thermal Transport Coefficients in Condensed Matter -I
• The Hall Number of Strongly Correlated Metals
• Topological Transitions for Lattice Bosons in a Magnetic Field
• Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals
• DC Hall coefficient of the strongly correlated Hubbard model
• Haldane Gap and Fractional Oscillations in Gated Josephson Arrays
• Hall coefficient of semimetals
• DSQSS: Discrete Space Quantum Systems Solver
• Hall map and breakdown of Fermi liquid theory in the vicinity of a Mott insulator
• Strong- versus Weak-Coupling Paradigms for Cuprate Superconductivity

Cited by in corpus (7)

• Diffusion constants from the recursion method
• Quantum dynamics in one and two dimensions via recursion method
• Pseudomode expansion of many-body correlation functions
• Stochastic Sampling of Operator Growth Dynamics
• Quantum Transport Theory of Strongly Correlated Matter
• Conductivity of lattice bosons at high temperatures
• High-temperature series expansion of the dynamic Matsubara spin correlator