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The European physical journal. B, Condensed matter physics, 2020-08, Vol.93 (8), Article 161
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2020
Quelle
SpringerLink
Beschreibungen/Notizen
We consider the strongly anisotropic spin-1/2
XXZ
model on the sawtooth-chain lattice with ferromagnetic longitudinal interaction
J
zz
= Δ
J
and aniferromagnetic transversal interaction
J
xx
=
J
yy
=
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