Lifshitz gauge duality
arXiv:2210.03127 · doi:10.1103/PhysRevB.106.224510
Abstract
Motivated by a variety of realizations of the compact Lifshitz model I derive its fractonic gauge dual. The resulting U(1) vector gauge theory efficiently and robustly encodes the restricted mobility of its dipole conserving charged matter and the corresponding topological vortex defects. The gauge theory provides a transparent formulation of the three phases of the Lifshitz model and gives a field theoretic formulation of the associated two-stage Higgs transitions.
arXiv comment7 pages
References in corpus (43)
- Electronic Liquid Crystal Phases of a Doped Mott Insulator
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
- Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
- Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
- Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
- Topological Order and Conformal Quantum Critical Points
- Liquid Crystal Phases of Quantum Hall Systems
- Exact results for interacting electrons in high Landau levels
- Short-ranged RVB physics, quantum dimer models and Ising gauge theories
- Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
- Fracton-Elasticity Duality
- Quantum liquid crystals in imbalanced Fermi gas: fluctuations and fractional vortices in Larkin-Ovchinnikov states
- Dual gauge field theory of quantum liquid crystals in two dimensions
- Chiral Topological Elasticity and Fracton Order
- Quantum Criticality and Deconfinement in Phase Transitions Between Valence Bond Solids
- Quantum Theory of Quantum-Hall Smectics
- Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
- Smectic Liquid Crystals in Random Environments
- Anomalous elasticity, fluctuations and disorder in elastic membranes
- The dipolar Bose-Hubbard model
- Fractonic Superfluids
- A New Phase of Tethered Membranes: Tubules
- Crystal-to-Fracton Tensor Gauge Theory Dualities
- Symmetry Enriched Fracton Phases from Supersolid Duality
- Fractons from vector gauge theory
- Theory of Quantum Hall Nematics
- Symmetry enforced fractonicity and quantum crystal melting
- Quantum smectic gauge theory
- Elasticity, Shape Fluctuations and Phase Transitions in the New Tubule Phase of Anisotropic Tethered Membranes
- Nonlinear smectic elasticity of a helical state in cholesterics and helimagnets
- p-Wave Resonant Bose Gas: A Finite-Momentum Spinor Superfluid
- Universal Elasticity and Fluctuations of Nematic Gels
- Two-dimensional melting via sine-Gordon duality
- Nonlinear Elasticity, Fluctuations and Heterogeneity of Nematic Elastomers
- "Soft" Anharmonic Vortex Glass in Ferromagnetic Superconductors
- Fractonic gauge theory of smectics
- Thermal buckling transition of crystalline membranes in a field
- A Discotic Disguised as a Smectic: A Hybrid Columnar Bragg Glass
- Tearing Fractons
- Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals
- Piezo-superconductivity: new effects in non-centrosymmetric superconductors
- Helical superfluid in a frustrated honeycomb Bose-Hubbard model
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- Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
- Dynamical Spectral Response of Fractonic Quantum Matter
- Filling constraints on translation invariant dipole conserving systems
- On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
- Topological Dipole Insulator
- Fractonic superfluids. III. Hybridizing higher moments
- Infinite-component field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
- Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
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