"Bad Metal" Conductivity of Hard Core Bosons

Abstract

Two dimensional hard core bosons suffer strong scattering in the high temperature resistive state at half filling. The dynamical conductivity is calculated using non perturbative tools such as continued fractions, series expansions and exact diagonalization. We find a large temperature range with linearly increasing resistivity and broad dynamical conductivity, signaling a breakdown of Boltzmann-Drude quasiparticle transport theory. At zero temperature, a high frequency peak in the dynamical conductivity appears above a "Higgs mass" gap, and corresponds to order parameter magnitude fluctuations. We discuss the apparent similarity between conductivity of hard core bosons and phenomenological characteristics of cuprates, including the universal scaling of Homes et. al. (Nature 430, 539 (2004)).

15 pages, 9 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Two Gaps Make a High Temperature Superconductor?
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Scaling of the superfluid density in high-temperature superconductors
• 4D-XY quantum criticality in a doped Mott insulator
• Finite temperature superfluid density in very underdoped cuprates
• Scaling of the superfluid density in severely underdoped YBa2Cu3O6+y

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