Semi-local quantum liquids

By N. Iqbal, Hong Liu, M. Mezei. 2011

165 citations recorded by the source corpus.

A bstractGauge/gravity duality applied to strongly interacting systems at finite density predicts a universal intermediate energy phase to which we refer as a semi-local quantum liquid. Such a phase is characterized by a finite spatial correlation length, but an infinite correlation time and associated nontrivial scaling behavior in the time direction, as well as a nonzero entropy density. For a holographic system at a nonzero chemical potential, this unstable phase sets in at an energy scale of order of the chemical potential, and orders at lower energies into other phases; examples include superconductors, and antiferromagnetic-type states. In this paper we give examples in which it also orders into Fermi liquids of “heavy” fermions. While the precise nature of the lower energy state depends on the specific dynamics of the individual system, we argue that the semi-local quantum liquid emerges universally at intermediate energies through deconfinement (or equivalently fractionalization). We also discuss the possible relevance of such a semi-local quantum liquid to heavy electron systems and the strange metal phase of high temperature cuprate superconductors.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/5dd42131e8b26d9a224f28d1c01831bcf125ee8f

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Citations in the corpus

Holographic Complexity Equals Bulk Action? (2015, background): “[26] N.”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “What is this new phase? It turns out to be a Fermi liquid of “heavy” fermions [44]! Below we outline the basic arguments, following the treatment of [44], in which more details can be found.”
Horizons, holography and condensed matter (2011, background): “ horizon will equal the ‘missing’ contribution to the gauge-invariant Luttinger count. That is, we expect Flux from horizon = hJti X Fermi surface volumes of : (9.3) This relation was made precise in [64, 77], where it was shown that in eld theory phases dual to an electron star, where all the charg”
Holographic Quantum Matter (2016, methodology): “The result (345) was first proven in a WKB limit in the bulk in [344; 414], away from this limit in [651] and in complete generality (allowing for horizons in the bulk) in [412].”
Models of AdS2 backreaction and holography (2014, background): “Our work was motivated in part by a puzzle regarding the density of states in AdS2/CFT1 duals [3, 14].”
Novel metals and insulators from holography (2014, background): “At zero temperature this solution interpolates between AdSD in the UV and AdS2 × RD−2 in the IR, and this locally quantum critical ground state [6] has a non-zero entropy density.”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “, [400–402]).”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “Fractionalized vs cohesive phases: Another sharp distinction between quantum critical points can be made by exposing the respective contributions of bulk degrees of freedom inside or outside the extremal “horizon” to the boundary charge density, [25, 26].”
Universal Resistivity from Holographic Massive Gravity (2013, background): “This means that in the ground state, correlation functions are conformal in the UV while exhibiting local criticality in the IR [28].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “In subsequent holographic studies, states obeying the standard Luttinger relation were indeed found [16, 17, 31, 36].”
Generalized holographic quantum criticality at finite density (2011, result): “All of these results can now naturally be linked with those of [60], which showed that Lifshitz symmetry allowed for Fermi Liquid behaviour, and earlier ones of [61], where the near-horizon AdS2×R(2) emergent geometry was proved to generate non Fermi-Liquid behaviour.”