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

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Derzhko,  Oleg
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Richter,  Johannes
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2004.14730.pdf
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Citation

Derzhko, O., Schnack, J., Dmitriev, D. V., Krivnov, V. Y., & Richter, J. (2020). Flat-band physics in the spin-1/2 sawtooth chain. European Physical Journal B, 93(8): 161. doi:10.1140/epjb/e2020-10224-1.


Cite as: http://hdl.handle.net/21.11116/0000-0007-DF6F-3
Abstract
We consider the strongly anisotropic spin-1/2XXZmodel on the sawtooth-chain lattice with ferromagnetic longitudinal interactionJ(zz)= Delta Jand aniferromagnetic transversal interactionJ(xx)=J(yy)=J> 0. At Delta = -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.