Non-Fermi Liquids from Dipolar Symmetry Breaking
arXiv:2304.01181 · doi:10.1103/PhysRevB.108.165112
Abstract
The emergence of fractonic topological phases and novel universality classes for quantum dynamics highlights the importance of dipolar symmetry in condensed matter systems. In this work, we study the properties of symmetry-breaking phases of the dipolar symmetries in fermionic models in various spatial dimensions. In such systems, fermions obtain energy dispersion through dipole condensation. Due to the nontrivial commutation between the translation symmetry and dipolar symmetry, the Goldstone modes of the dipolar condensate are strongly coupled to the dispersive fermions and naturally give rise to non-Fermi liquids at low energies. The IR description of the dipolar symmetry-breaking phase is analogous to the well-known theory of a Fermi surface coupled to an emergent U(1) gauge field. We also discuss the crossover behavior when the dipolar symmetry is slightly broken and the cases with anisotropic dipolar conservation.
arXiv comment11 pages + 12 page appendix, 8 figures
References in corpus (47)
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Fractons
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum Theory of a Nematic Fermi Fluid
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- 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
- Generalized Symmetries in Condensed Matter
- Fracton Phases of Matter
- Are non-Fermi-liquids stable to Cooper pairing?
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Non-Fermi Liquid Fixed Point in 2+1 Dimensions
- Fracton hydrodynamics
- Theory of a continuous Mott transition in two dimensions
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
- Renormalization Group Approach to Low Temperature Properties of a Non-Fermi Liquid Metal
- Towards classification of Fracton phases: the multipole algebra
- Localization in fractonic random circuits
- Kinetically constrained freezing transition in a dipole-conserving system
- Anomalous Subdiffusion from Subsystem Symmetries
- Large theory of critical Fermi surfaces
- Multipole conservation laws and subdiffusion in any dimension
- The dipolar Bose-Hubbard model
- Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
- Fractonic Superfluids
- Large theory of critical Fermi surfaces II: conductivity
- Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry
- Hyperscaling violation at the Ising-nematic quantum critical point in two dimensional metals
- Hydrodynamics in lattice models with continuous non-Abelian symmetries
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
- Gifts from anomalies: Exact results for Landau phase transitions in metals
- Loop current fluctuations and quantum critical transport
- Dipole condensates in tilted Bose-Hubbard chains
- Fractons from confinement in one dimension
- Fractonic superfluids. (II). Condensing subdimensional particles
- Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
- Ferromagnetic and Nematic Non-Fermi Liquids in Spin-Orbit Coupled Two-Dimensional Fermi Gases
- Optical conductivity of a two-dimensional metal near a quantum-critical point: the status of the "extended Drude formula"
- Non-Fermi liquids from kinetic constraints in tilted optical lattices
- Critical Fermi surfaces in generic dimensions arising from transverse gauge field interactions
- Stable non-Fermi liquid phase of itinerant spin-orbit coupled ferromagnets
- Non-Fermi liquids at finite temperature: normal state and infrared singularities
- Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and non-Fermi liquid to Fermi liquid crossover
Cited by in corpus (6)
- Generating Lattice Non-invertible Symmetries
- Fractonic superfluids. III. Hybridizing higher moments
- Topological Dipole Insulator
- Infinite-component field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
- Non-Fermi Liquids from Subsystem Symmetry Breaking in van der Waals Multilayers
- Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes