Quantum Heisenberg model on a sawtooth-chain lattice: rotation-invariant Green’s function method

Taras Hutak, Taras Krokhmalskii, Oleg Derzhko () and Johannes Richter
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Taras Hutak: National Academy of Sciences of Ukraine
Taras Krokhmalskii: National Academy of Sciences of Ukraine
Oleg Derzhko: National Academy of Sciences of Ukraine
Johannes Richter: Institut für Physik, Otto-von-Guericke-Universität Magdeburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 6, 1-14

Abstract: Abstract We apply the rotation-invariant Green’s function method (RGM) to study the spin $$S=1/2$$ S = 1 / 2 Heisenberg model on a one-dimensional sawtooth lattice, which has two nonequivalent sites in the unit cell. We check the RGM predictions for observable quantities by comparison with the exact-diagonalization and finite-temperature-Lanczos calculations. We discuss the thermodynamic and dynamic properties of this model in relation to the mineral atacamite Cu $$_2$$ 2 Cl(OH) $$_3$$ 3 complementing the RGM outcomes by results of other approaches. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00359-0

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