Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Topological Quantum Computing Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation

Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices

arXiv
Authors: Darren Pereira, Erich J. Mueller

Year

2025

Paper ID

51762

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

0

Abstract

We study the hard-core Fermi-Hubbard model in the crossover between square and triangular lattices near half-filling. As was recognized by Nagaoka in the 1960s, on the square lattice the presence of a single hole leads to ferromagnetic spin ordering. On the triangular lattice, geometric frustration instead leads to a spin-singlet ground state, which can be associated with a 120-degree spiral order. On lattices which interpolate between square and triangular, there is a phase transition at which the ferromagnetic order becomes unstable to a spin spiral. We model this transition, finding the exact location of the spin-spiral instability.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We study the hard-core Fermi-Hubbard model in the crossover between square and triangular lattices near half-filling.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.05226 [2] arXiv https://arxiv.org/abs/2510.05226 [3] Publisher https://arxiv.org/abs/2510.05226

Local Citation Graph (Related-Paper Links)

Current Paper #51762 #69030 Non-Hermitian Crystalline Braid... #69027 Computational Superiority of No... #69015 Complex-gauge control of anomal... #68993 Tomography of quantum states wi...

External citation index: OpenAlex citation signal • updated 2026-06-13 14:58:48

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.