Quantum phase transitions to topological Haldane phases in spin-one chains studied by linked-cluster expansions

Adelhardt P, Gritsch J, Hille M, Reiß D, Schmidt KP (2017)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2017

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 96

Article Number: ARTN 235123

Journal Issue: 23

DOI: 10.1103/PhysRevB.96.235123

Abstract

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry-unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of a single-ion anisotropy, while the second one is the dimerized spin-one Heisenberg chain. For both models, we determine the ground-state energy and the one-particle gap inside the nontopological phase as a high-order series using perturbative continuous unitary transformations. Extrapolations of the gap series are applied to locate the quantum critical point and to extract the associated critical exponent. We find that this approach works unsatisfactorily for the anisotropic chain, since the quality of the extrapolation appears insufficient due to the large correlation length exponent. In contrast, extrapolation schemes display very good convergence for the gap closing in the case of the dimerized spin-one Heisenberg chain.

Authors with CRIS profile

Patrick Adelhardt Lehrstuhl für Theoretische Physik Julian Gritsch Lehrstuhl für Theoretische Physik David Reiß Lehrstuhl für Theoretische Physik Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE)

How to cite

APA:

Adelhardt, P., Gritsch, J., Hille, M., Reiß, D., & Schmidt, K.P. (2017). Quantum phase transitions to topological Haldane phases in spin-one chains studied by linked-cluster expansions. Physical Review B, 96(23). https://doi.org/10.1103/PhysRevB.96.235123

MLA:

Adelhardt, Patrick, et al. "Quantum phase transitions to topological Haldane phases in spin-one chains studied by linked-cluster expansions." Physical Review B 96.23 (2017).

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