A critical theory for solidification of a liquid Fermi liquid

2025/04/09 by Tarun Grover, Grover, Tarun, John McGreevy +1 · 2 citations
Materials Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Iron-based superconductors research #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Rare-earth and actinide compounds #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2504.06508

openalex publication_date 2025/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple description of a zero-temperature phase transition between a liquid metal and a solid. The critical point has a Fermi surface as well as a Bose surface, a sphere in momentum space of gapless bosonic excitations. We find a fixed point of the renormalization group governing such a non-Fermi liquid, using an expansion in the codimension of both the Fermi and Bose surfaces. We comment on the nature of the solid phase and possible physical realizations.

Citations

• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Fractional Quantum Anomalous Hall Effect in a Graphene Moire Superlattice
• Ultraviolet-Infrared Mixing in Marginal Fermi Liquids
• Bose-Luttinger liquids
• Strange metals as ersatz Fermi liquids
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Spin-polarized fermions with p-wave interactions
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• Fermionization of bosons in a flat band
• Metallic state in bosonic systems with continuously degenerate minima
• Recent Developments in Non-Fermi Liquid Theory
• Topological nodal line semimetals
• Statistical transmutation in Floquet driven optical lattices
• Dimensionality and design of isotropic interactions that stabilize honeycomb, square, simple cubic, and diamond lattices
• Perturbative non-Fermi liquids from dimensional regularization
• Absence of Bose condensation on lattices with moat bands
• Composite fermion state of spin-orbit coupled bosons
• Liquid and crystal phase of dipolar fermions in two dimensions
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Quantum critical response at the onset of spin-density-wave order in two-dimensional metals
• A controlled expansion for certain non-Fermi liquid metals
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Fermi Surfaces in General Codimension and a New Controlled Nontrivial Fixed Point
• Wigner supersolid of excitons in electron-hole bilayers
• p-Wave Interactions in Low-Dimensional Fermionic gases
• Pinned Bilayer Wigner Crystals with Pseudospin Magnetism
• P-wave Feshbach resonances of ultra-cold ⁶Li
• Quantum phase transitions of magnetic rotons
• Tuningp-Wave Interactions in an Ultracold Fermi Gas of Atoms
• Quantum-critical theory of the spin-fermion model and its application to cuprates. Normal state analysis
• Quantum-critical superconductivity in underdoped cuprates
• Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Coherent vs incoherent pairing in 2D systems near magnetic instability
• Enhanced stability of the square lattice of a classical bilayer Wigner crystal
• Wigner Crystallization and Metal-Insulator Transition of Two-Dimensional Holes in GaAs atB<mml:mspace/>=<mml:mspace/>0
• Minimum energy configurations of repelling particles in two dimensions
• Wigner Crystals Phases in Bilayer Quantum Hall Systems
• Metastability in Fluctuation Driven First-order Transitions: Nucleation of Lamellar Phases
• Renormalization-group approach to interacting fermions
• Effective Field Theory and the Fermi Surface
• Hydrodynamic fluctuations at the convective instability

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