The Roton Fermi Liquid
Leon Balents, Matthew P. A. Fisher

TL;DR
The paper introduces the Roton Fermi Liquid, a new 2D metallic phase supporting both fermionic and bosonic excitations, with unique transport properties and potential relevance to cuprate superconductors.
Contribution
It presents a novel quantum ground state called the Roton Fermi Liquid, characterized by a Bose surface of rotons, off-diagonal order, and distinctive electrical resistance behavior.
Findings
Supports gapless fermionic and bosonic quasiparticles
Exhibits zero superfluid density and no Meissner effect
Electrical resistance vanishes as a power law with temperature
Abstract
We introduce and analyze a novel metallic phase of two-dimensional (2d) electrons, the Roton Fermi Liquid (RFL), which, in contrast to the Landau Fermi liquid, supports both gapless fermionic and bosonic quasiparticle excitations. The RFL is accessed using a re-formulation of 2d electrons consisting of fermionic quasiparticles and vortices interacting with a mutual long-ranged statistical interaction. In the presence of a strong vortex-antivortex (i.e. roton) hopping term, the RFL phase emerges as an exotic yet eminently tractable new quantum ground state. The RFL phase exhibits a ``Bose surface'' of gapless roton excitations describing transverse current fluctuations, has off-diagonal quasi-long-ranged order (ODQLRO) at zero temperature (T=0), but is not superconducting, having zero superfluid density and no Meissner effect. The electrical resistance {\it vanishes} as …
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