Eight-vertex criticality in the interacting Kitaev chain

Abstract

We show that including pairing and repulsion into the description of 1D spinless fermions, as in the domain wall theory of commensurate melting or the interacting Kitaev chain, leads, for strong enough repulsion, to a line of critical points in the eight vertex universality class terminating floating phases with emergent U(1) symmetry. For nearest-neighbor repulsion and pairing, the variation of the critical exponents along the line that can be extracted from Baxter's exact solution of the XYZ chain at $J_x=-J_z$ is fully confirmed by extensive DMRG simulations of the entire phase diagram, and the qualitative features of the phase diagram are shown to be independent of the precise form of the interactions.

4 pages, 4 figures + supplemental material

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• The density-matrix renormalization group in the age of matrix product states
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Competing density-wave orders in a one-dimensional hard-boson model
• Lifshitz point at commensurate melting of 1D Rydberg atoms
• Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
• Conformal and chiral phase transitions in Rydberg chains

Cited by in corpus (5)

• Topological and quantum critical properties of the interacting Majorana chain model
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Critical properties of the Majorana chain with competing interactions
• Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
• Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace