Non-local order parameters for the 1D Hubbard model

Abstract

We characterize the Mott insulator and Luther-Emery phases of the 1D Hubbard model through correlators that measure the parity of spin and charge strings along the chain. These non-local quantities order in the corresponding gapped phases and vanish at the critical point $U_c=0$. The Mott insulator consists of bound doublon-holon pairs, which in the Luther-Emery phase turn into electron pairs with opposite spins, both unbinding at $U_c$. The behavior of the parity correlators can be captured by an effective free spinless fermion model.

4 pages; 3 figures

References in corpus (16)

• A Mott insulator of fermionic atoms in an optical lattice
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Electron Localization in the Insulating State
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• String order and symmetries in quantum spin lattices
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• Quantum-Mechanical Position Operator and Localization in Extended Systems
• Geometry and the Hidden Order of Luttinger Liquids: the Universality of Squeezed Space
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• Identification of topologically different valence bond states in spin ladders
• Quantum fluctuations of one-dimensional free fermions and Fisher-Hartwig formula for Toeplitz determinants
• Insulator, conductor and commensurability: a topological approach
• Results on the symmetries of integrable fermionic models on chains
• Hidden XY structure of the bond-charge Hubbard model

Cited by in corpus (32)

• Local and nonlocal order parameters in the Kitaev chain
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• How Hidden Orders Generate Gaps in 1D Fermionic Systems
• A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
• Metallic and insulating stripes and their relation with superconductivity in the doped Hubbard model
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Non-local order in Mott insulators, Duality and Wilson Loops
• Out-of-equilibrium dynamics and thermalization of string order
• Brane parity orders in the insulating state of Hubbard ladders
• Non local parity order in the two-dimensional Mott insulator
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Spontaneous Peierls dimerization and emergent bond order in one-dimensional dipolar gases
• String and conventional order parameters in the solvable modulated quantum chain
• Disorder lines, modulation, and partition function zeros in free fermion models
• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
• Population imbalance in the extended Fermi-Hubbard model
• Homogeneous and domain wall topological Haldane conductors with dressed Rydberg atoms
• Production of minimally entangled typical thermal states with the Krylov-space approach
• One-dimensional repulsive Hubbard model with mass imbalance: Orders and filling anomaly
• Driven one-dimensional noisy Kitaev chain
• Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders
• Topological phase transition and the effect of Hubbard interaction on the one-dimensional topological Kondo insulator
• Topological phases in two-legged Heisenberg ladders with alternating interactions
• Non-Local Order Parameters as a Probe for Phase Transitions in the Extended Fermi-Hubbard Model
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping
• Brane order and quantum magnetism in modulated anisotropic ladders
• Spinon and eta-spinon correlation functions
• Nonlocal order parameter of pair superfluids
• Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
• Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model