Emergent Wigner magnon crystals in a fully frustrated Heisenberg four-leg tube
Abstract
The ground state, magnetization curves, low-temperature thermodynamics, and heat-engine performance of the fully frustrated spin-1/2 Heisenberg four-leg tube with antiferromagnetic inter- and intra-plaquette coupling constants J1 and J2 are examined using exact diagonalization, density matrix renormalization group, and localized-magnon theory. In the unfrustrated to weakly frustrated regime J2/J1 << 2, the system exhibits a continuous field-driven quantum phase transition between the gapped Haldane phase and a gapless Tomonaga-Luttinger quantum spin liquid. In the highly frustrated regime J2/J1 > 2, the system contrarily displays discontinuous field-driven quantum phase transitions between the Wigner magnon crystals, which are manifested in zero-temperature magnetization curves as intermediate plateaus at zero, one-quarter, one-half, and three-quarters of the saturation magnetization. The low-temperature magnetic and thermodynamic properties in this regime are accurately captured by an effective interacting lattice-gas model of two monomer quasi-particle species constructed from localized one- and two-magnon states. Finally, we explore a quantum Stirling heat engine using the fully frustrated four-leg tube as the working medium. The work output and efficiency are strongly suppressed near discontinuous field-induced transitions and reach pronounced local maxima well inside the stability regions of the Wigner magnon crystals.
Related
- Magnon superlattices around skyrmions in frustrated magnets
- Symmetry constraints on magnon-induced dynamics of skyrmion helicity in frustrated magnets
- Optical detection and manipulation of pseudospin orders in Wigner crystals
- Decoherence of the pair entangled states at thermalization and interparticle interaction. Heisenberg--Wigner path integral Monte Carlo simulations
- A rigid commensurate host and a defect that switches: vacancies in the frustrated alternating spin-(1, 1/2) Heisenberg chain
BibTeX
@misc{zoshki2026emergent,
title = {{Emergent Wigner magnon crystals in a fully frustrated Heisenberg four-leg tube}},
author = {Azam Zoshki and Hamid Arian Zad and Jozef Strecka},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30596},
eprint = {2609.30596},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30596},
}
RIS
TY - UNPB
TI - Emergent Wigner magnon crystals in a fully frustrated Heisenberg four-leg tube
AU - Azam Zoshki
AU - Hamid Arian Zad
AU - Jozef Strecka
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30596
UR - https://arxiv.org/abs/2609.30596
AB - The ground state, magnetization curves, low-temperature thermodynamics, and heat-engine performance of the fully frustrated spin-1/2 Heisenberg four-leg tube with antiferromagnetic inter- and intra-plaquette coupling constants J1 and J2 are examined using exact diagonalization, density matrix renormalization group, and localized-magnon theory. In the unfrustrated to weakly frustrated regime J2/J1 << 2, the system exhibits a continuous field-driven quantum phase transition between the gapped Haldane phase and a gapless Tomonaga-Luttinger quantum spin liquid. In the highly frustrated regime J2/J1 > 2, the system contrarily displays discontinuous field-driven quantum phase transitions between the Wigner magnon crystals, which are manifested in zero-temperature magnetization curves as intermediate plateaus at zero, one-quarter, one-half, and three-quarters of the saturation magnetization. The low-temperature magnetic and thermodynamic properties in this regime are accurately captured by an effective interacting lattice-gas model of two monomer quasi-particle species constructed from localized one- and two-magnon states. Finally, we explore a quantum Stirling heat engine using the fully frustrated four-leg tube as the working medium. The work output and efficiency are strongly suppressed near discontinuous field-induced transitions and reach pronounced local maxima well inside the stability regions of the Wigner magnon crystals.
ER -