Kavli Affiliate: Debanjan Chowdhury
| First 5 Authors: Haoyu Guo, Debanjan Chowdhury, , ,
| Summary:
Metals at the brink of electronic quantum phase transitions display
high-temperature superconductivity, competing orders, and unconventional charge
transport, revealing strong departures from conventional Fermi liquid behavior.
Investigation of these fascinating intertwined phenomena has been at the center
of research across a variety of correlated materials over the past many
decades. A ubiquitous experimental observation is the emergence of a universal
timescale that governs electrical transport and momentum relaxation. In this
work, we analyze an equally important theoretical question of how the energy
contained in the electronic degrees of freedom near a quantum phase transition
relaxes to the environment via their coupling to acoustic phonons. Assuming
that the bottleneck for energy dissipation is controlled by the coupling
between electronic degrees of freedom and acoustic phonons, we present a
universal theory of the temperature dependence of the energy relaxation rate in
a marginal Fermi liquid. We find that the energy relaxation rate exhibits a
complex set of temperature-dependent crossovers controlled by emergent energy
scales in the problem. We place these results in the context of recent
measurements of the energy relaxation rate via non-linear optical spectroscopy
in the normal state of hole-doped cuprates.
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