Flat-band physics in the spin-1/2 sawtooth chain
Oleg Derzhko (),
Jürgen Schnack,
Dmitry V. Dmitriev,
Valery Ya. Krivnov and
Johannes Richter
Additional contact information
Oleg Derzhko: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
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
The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 8, 1-12
Abstract:
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
Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10224-1
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