Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice

Abstract

The $N$-flavor interacting Su-Schrieffer-Heeger (i-SSH) model realizable in cold-atoms in an optical lattice is studied. We clarify the relationship between the i-SSH model and the Chiral-Gross-Neveu-Wilson (CGNW) model. Following the previous study of the CGNW model in the high-energy physics community, the groundstate phases of the i-SSH model are investigated and interpreted from the view of the phases of the CGNW model. The interaction effect on the i-SSH model, belonging to the topological BDI class, is grasped by following the view of the dynamical breakdown of chiral symmetry in the CGNW model. Furthermore, we compare the large-$N$ groundstate phase diagram with that of the $N=1$ case obtained by exact diagonalization and then propose a table-top cold-atom quantum simulator to test the model.

11 pages, 8 figures, v3: accepted for publication in Phys. Rev. B

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• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
• Quantum Simulation of the N flavor Gross-Neveu Model
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Detecting topology through dynamics in interacting fermionic wires
• Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
• Kondo effect with Wilson fermions
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• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
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• Topological and nontopological edge states induced by qubit-assisted coupling potentials
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group