Kavli Affiliate: Joel E. Moore
| First 5 Authors: Yan-Qi Wang, Roman Rausch, Christoph Karrasch, Joel E. Moore,
| Summary:
A strongly interacting plasma of linearly dispersing electron and hole
excitations in two spatial dimensions (2D), also known as a Dirac fluid, can be
captured by relativistic hydrodynamics and shares many universal features with
other quantum critical systems. We propose a one-dimensional (1D) model to
capture key aspects of the 2D Dirac fluid while including lattice effects and
being amenable to non-perturbative computation. When interactions are added to
the Dirac-like 1D dispersion without opening a gap, we show that this kind of
irrelevant interaction is able to preserve Fermi-liquid-like quasi-particle
features while relaxing a zero-momentum charge current via collisions between
particle-hole excitations, leading to resistivity that is linear in temperature
via a mechanism previously discussed for large-diameter metallic carbon
nanotubes. We further provide a microscopic lattice model and obtain numerical
results via density-matrix renormalization group (DMRG) simulations, which
support the above physical picture. The limits on such fast relaxation at
strong coupling are of considerable interest because of the ubiquity of bad
metals in experiments.
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