Related papers: Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation

Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation

URL: http://arxiv.org/abs/2506.18675v1
Date: Mon, 23 Jun 2025 14:19:35 GMT
Title: Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
Authors: Sergio Cerezo-Roquebrún, Simon Hands, Alejandro Bermudez,
Abstract summary: We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
Score: 41.94295877935867
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model using matrix product state (MPS) simulations. At zero temperature and along the symmetry line of the phase diagram, we find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation. For weak interactions, doping the symmetry-protected topological (SPT) phase of the GNW model leads to localized charges or holes at periodic arrangements of immobile topological defects separating the fragmented subchains: a topological crystal. Increasing the interactions, we observe a transition into a parity-broken phase with a pseudoscalar condensate displaying a modulated periodic pattern. This soliton lattice is a sequence of topological charges corresponding to anti-kinks, which also bind the doped fermions at their respective centers. Out of this symmetry line, we show that quasi-spiral profiles appear with a characteristic wavevector set by the density $k = 2{\pi}{\rho}$, providing non-perturbative evidence for chiral spirals beyond the large-N limit. These results demonstrate that various exotic inhomogeneous phases can arise in lattice field theories, and motivate the use of quantum simulators to confirm such QCD-inspired phenomena in future experiments.

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