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Flat-band physics in the spin-1/2 sawtooth chain

Author

Listed:
  • Oleg Derzhko

    (Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
    Max-Planck-Institut für Physik komplexer Systeme)

  • Jürgen Schnack

    (Fakultät für Physik, Universität Bielefeld)

  • Dmitry V. Dmitriev

    (Institute of Biochemical Physics of RAS)

  • Valery Ya. Krivnov

    (Institute of Biochemical Physics of RAS)

  • Johannes Richter

    (Max-Planck-Institut für Physik komplexer Systeme
    Institut für Physik, Otto-von-Guericke-Universität Magdeburg)

Abstract

We consider the strongly anisotropic spin-1/2 XXZ model on the sawtooth-chain lattice with ferromagnetic longitudinal interaction Jzz = ΔJ and aniferromagnetic transversal interaction Jxx = Jyy = J > 0. At Δ = −1∕2 the lowest one-magnon excitation band is dispersionless (flat) leading to a massively degenerate set of ground states. Interestingly, this model admits a three-coloring representation of the ground-state manifold [H.J. Changlani et al., Phys. Rev. Lett. 120, 117202 (2018)]. We characterize this ground-state manifold and elaborate the low-temperature thermodynamics of the system. We illustrate the manifestation of the flat-band physics of the anisotropic model by comparison with two isotropic flat-band Heisenberg sawtooth chains. Our analytical consideration is complemented by exact diagonalization and finite-temperature Lanczos method calculations. Graphical abstract

Suggested Citation

  • Oleg Derzhko & Jürgen Schnack & Dmitry V. Dmitriev & Valery Ya. Krivnov & Johannes Richter, 2020. "Flat-band physics in the spin-1/2 sawtooth chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(8), pages 1-12, August.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:8:d:10.1140_epjb_e2020-10224-1
    DOI: 10.1140/epjb/e2020-10224-1
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    Solid State and Materials;

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