Two-fluid coexistence in a spinless fermions chain with pair hopping

Abstract

We show that a simple one-dimensional model of spinless fermions with pair hopping displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger liquid of unpaired fermions. Our results are based on extensive numerical density-matrix renormalisation group calculations and are supported by a two-fluid model that captures the essence of the coexistence region.

arXiv comment5+5 pages, 4+5 figures

References in corpus (33)

• Unpaired Majorana fermions in quantum wires
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• A number conserving theory for topologically protected degeneracy in one-dimensional fermions
• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Majorana edge states in two atomic wires coupled by pair-hopping
• Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
• Localized Majorana-like modes in a number conserving setting: An exactly solvable model
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Cluster Luttinger Liquids of Rydberg-dressed Atoms in Optical Lattices
• Topological states in a microscopic model of interacting fermions
• Pairing in Luttinger Liquids and Quantum Hall States
• η-superconductivity in the Hubbard chain with pair hopping
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire
• Three-Component Fermi Gas in a one-dimensional Optical Lattice
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
• Multi-particle content of Majorana zero-modes in the interacting p-wave wire
• Phase Transitions in the One-Dimensional Pair-Hopping Model: a Renormalization Group Study
• Rigorous results on topological superconductivity with particle number conservation
• Majorana Quasi-Particles Protected by ${\mathbb{Z}}_2$ Angular Momentum Conservation
• Study of Pairing Correlations in the Attractive Hubbard Model on Chains, Ladders, and Squares
• Number-conserving interacting fermion models with exact topological superconducting ground states
• Hidden string order in a hole-superconductor with extended correlated hopping
• Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• $\eta$-superconductivity in the one-dimensionnal pair hopping model
• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
• Towards a Particle-Number Conserving Theory of Majorana Zero Modes in p+ip Superfluids
• Effect of Particle Number Conservation on the Berry Phase Resulting from Transport of a Bound Quasiparticle around a Superfluid Vortex

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• Superconducting pairing from repulsive interactions of fermions in a flat-band system
• Kinetic formation of trimers in a spinless fermionic chain
• Bosonization study of a generalized statistics model with four Fermi points