https://doi.org/10.1140/epjs/s11734-021-00060-w
Regular Article
Quantum criticality in dimerised anisotropic spin-1 chains
Institute of Physics, University Greifswald, 17489, Greifswald, Germany
c
holger.fehske@physik.uni-greifswald.de
Received:
10
March
2020
Accepted:
5
January
2021
Published online:
13
April
2021
Applying the (infinite) density-matrix renormalisation group technique, we explore the effect of an explicit dimerisation on the ground-state phase diagram of the spin-1 XXZ chain with single-ion anisotropy D. We demonstrate that the Haldane phase between large-D and antiferromagnetic phases survives up to a critical dimerisation only. As a further new characteristic the dimerisation induces a direct continuous Ising quantum phase transition between the large-D and antiferromagnetic phases with central charge , which terminates at a critical end-point where
. Calculating the critical exponents of the order parameter, neutral gap and spin–spin-correlation function, we find
(1/24),
(5/9), and
(3/20), respectively, which proves the Ising (tricritical Ising) universality class in accordance with field-theoretical predictions.
© The Author(s) 2021
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