Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: rotation-invariant Green’s functions and high-temperature series

Taras Hutak (), Taras Krokhmalskii, Oleg Derzhko and Johannes Richter
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Taras Hutak: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
Taras Krokhmalskii: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
Oleg Derzhko: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
Johannes Richter: Otto-von-Guericke-Universität Magdeburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 4, 1-14

Abstract: Abstract We apply the rotation-invariant Green’s function method to study the finite-temperature properties of a $$S{=}1/2$$ S = 1 / 2 sawtooth-chain (also called $$\Delta $$ Δ -chain) antiferromagnetic Heisenberg model at the fully frustrated point when the exchange couplings along the straight-line and zig–zag paths are equal. We also use 13 terms of high-temperature expansion series and interpolation methods to get thermodynamic quantities for this model. We check the obtained predictions for observable quantities by comparison with numerics for finite systems. Although our work refers to a one-dimensional case, the utilized methods work in higher dimensions too and are applicable for examining other frustrated quantum spin lattice systems at finite temperatures. Graphic Abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00521-2

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