Terminable Transitions in a Topological Fermionic Ladder

Abstract

Interacting fermionic ladders are important platforms to study quantum phases of matter, such as different types of Mott insulators. In particular, the D-Mott and S-Mott states hold pre-formed fermion pairs and become paired-fermion liquids upon doping (d-wave and s-wave, respectively). We show that the D-Mott and S-Mott phases are in fact two facets of the same topological phase and that the transition between them is terminable. These results provide a quantum analog of the well-known terminable liquid-to-gas transition. However, the phenomenology we uncover is even richer, as in contrast to the former, the order of the transition can be tuned by the interactions from continuous to first-order. The findings are based on numerical results using the variational uniform matrix-product state (VUMPS) formalism for infinite systems, and the density-matrix renormalization group (DMRG) algorithm for finite systems. This is complemented by analytical field-theoretical explanations. In particular, we present an effective theory to explain the change of transition order, which is potentially applicable to a broad range of other systems. The role of symmetries and edge states are briefly discussed.

5+5 pages

References in corpus (22)

• The density-matrix renormalization group in the age of matrix product states
• From density-matrix renormalization group to matrix product states
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• A quantum magnetic analogue to the critical point of water
• Hubbard ladders at small $U$ revisited
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• Fragility of Symmetry Protected Topological Order on a Hubbard Ladder
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder
• Competing orders in the generalized Hund chain model at half-filling
• Robust superconducting correlation against inter-site interactions in the extended two-leg Hubbard ladder
• Reexamining doped two-legged Hubbard ladders
• Thermodynamics of the metal-insulator transition in the extended Hubbard model
• Multiversality and Unnecessary Criticality in One Dimension
• Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems
• Thermodynamics of the metal-insulator transition in the extended Hubbard model from determinantal quantum Monte Carlo
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Phase diagrams of the metallic zigzag carbon nanotube
• Charge-Density-Wave Formation in the Doped Two-Leg Extended Hubbard Ladder
• Dichotomy Between Orbital and Magnetic Nematic Instabilities in BaFe2S3
• Charge density waves and their transitions in anisotropic quantum Hall systems

Cited by in corpus (3)

• Classical origins of Landau-incompatible transitions
• Charge pumps, boundary modes, and the necessity of unnecessary criticality
• Persistent Haldane Phase in Carbon Tetris Chains