Fractons from a liquid of singlet pairs

Abstract

Fracton phases of matter feature a variety of exciting phenomena stemming from the restricted mobility of their quasiparticles. Here we consider a model of interacting electrons in one dimension that describes hopping of spin-singlet pairs and obeys both charge and dipole conservation laws. The model contains Bethe ansatz integrable sectors which allow us to solve the ground state and calculate the exact spin and single-electron excitation gaps. We observe hallmarks of fractonic behavior, including localization of single-electron excitations and propensity to clustering. Our results demonstrate the important role of the dipole moment conservation law in a simple model of spin-1/2 fermions.

arXiv comment16 pages, 16 figures

References in corpus (44)

• The density-matrix renormalization group in the age of matrix product states
• Quantum Error Correction for Quantum Memories
• Local stabilizer codes in three dimensions without string logical operators
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Quantum Glassiness
• 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
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Fracton Phases of Matter
• Analytic and numerical demonstration of quantum self-correction in the 3D Cubic Code
• Disorder-Free Localization
• Glassy quantum dynamics in translation invariant fracton models
• Emergent Gravity of Fractons: Mach's Principle Revisited
• Quantum Disentangled Liquids
• Emergent Phases of Fractonic Matter
• Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
• Quantum Many-body Scars in a Landau Level on a Thin Torus
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• A quantum dimer model for the pseudogap metal
• Quantum scars of bosons with correlated hopping
• Enhancement of super-exchange pairing in the periodically-driven Hubbard model
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Symmetry enforced fractonicity and $2d$ quantum crystal melting
• Meson formation in mixed-dimensional t-J models
• Fractons from confinement in one dimension
• Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
• Fractons from polarons
• Effect of the Three-Site Hopping Term on the t-J Model
• Logarithmic spreading of out-of-time-ordered correlators without many-body localization
• Exact Solution of the strong coupling t-V model with twisted boundary conditions
• Exact solution of a one-dimensional fermion model with interchain tunneling
• Properties of holons in the Quantum Dimer Model
• New Integrable Models of Strongly Correlated Particles with Correlated Hopping
• Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms
• Fractons from frustration in hole-doped antiferromagnets
• Anomalous spin-charge separation in a driven Hubbard system
• Superconductivity from correlated hopping
• Competition between spin exchange and correlated hopping

Cited by in corpus (7)

• Effective Fractonic Behavior in a Two-Dimensional Exactly Solvable Spin Liquid
• Boundary Modes in the Chamon Model
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Fractionalized holes in one-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to fermion matter -- deconfined dynamics and emergent integrability
• Weak ergodicity breaking with isolated integrable sectors
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Emergent dipole field theory in atomic ladders