How Hidden Orders Generate Gaps in 1D Fermionic Systems

Abstract

We demonstrate that hidden long range order is always present in the gapped phases of interacting fermionic systems on one dimensional lattices. It is captured by correlation functions of appropriate nonlocal charge and/or spin operators, which remain asymptotically finite. The corresponding microscopic orders are classified. The results are confirmed by DMRG numerical simulation of the phase diagram of the extended Hubbard model, and of a Haldane insulator phase.

5 pages, 3 figures

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Cited by in corpus (30)

• Topological quantum critical points in the extended Bose-Hubbard model
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models
• Metallic and insulating stripes and their relation with superconductivity in the doped Hubbard model
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Non local parity order in the two-dimensional Mott insulator
• Realizing a symmetry protected topological phase through dimerized interactions
• Brane parity orders in the insulating state of Hubbard ladders
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Spontaneous Peierls dimerization and emergent bond order in one-dimensional dipolar gases
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• 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
• Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders
• Clustered Superfluids in the One Dimensional Bose-Hubbard model with extended correlated hopping
• 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
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping
• Nonlocal order parameter of pair superfluids
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• 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
• Topological phases of bosons with local parity coupling on a dimerized lattice
• Emergent Haldane phase in an alternating bond ${\mathbb{Z}}_3$ parafermion chain