Local entanglement and string order parameter in dimerized models

Bahovadinov MS, Gulseren O, Schnack J (2019)
JOURNAL OF PHYSICS-CONDENSED MATTER 31(50): 505602.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck| Englisch
 
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Autor/in
Bahovadinov, Murod S.; Gulseren, Oguz; Schnack, JürgenUniBi
Abstract / Bemerkung
In this letter, we propose an application of string order parameter (SOP), commonly used in quantum spin systems, to identify symmetry-protected topological phase (SPT) in fermionic systems in the example of the dimerized fermionic chain. As a generalized form of dimerized model, we consider a one-dimensional spin-1/2 XX model with alternating spin couplings. We employ Jordan-Wigner fermionization to map this model to the spinless Su-Schrieffer-Heeger fermionic model (SSH) with generalized hopping signs. We demonstrate a phase transition between a trivial insulating phase and the Haldane phase by the exact analytical evaluation of reconstructed SOPs which are represented as determinants of Toeplitz matrices with the given generating functions. To get more insight into the topological quantum phase transition (tQPT) and microscopic correlations, we study the pairwise concurrence as a local entanglement measure of the model. We show that the first derivative of the concurrence has a non-analytic behaviour in the vicinity of the tQPT, like in the second order trivial QPTs.
Stichworte
string order parameter; symmetry protected topological phase; Jordan; Wigner fermionization; SSH model; local entanglement; quantum phase; transitions
Erscheinungsjahr
2019
Zeitschriftentitel
JOURNAL OF PHYSICS-CONDENSED MATTER
Band
31
Ausgabe
50
Art.-Nr.
505602
ISSN
0953-8984
eISSN
1361-648X
Page URI
https://pub.uni-bielefeld.de/record/2937846

Zitieren

Bahovadinov MS, Gulseren O, Schnack J. Local entanglement and string order parameter in dimerized models. JOURNAL OF PHYSICS-CONDENSED MATTER. 2019;31(50): 505602.
Bahovadinov, M. S., Gulseren, O., & Schnack, J. (2019). Local entanglement and string order parameter in dimerized models. JOURNAL OF PHYSICS-CONDENSED MATTER, 31(50), 505602. doi:10.1088/1361-648X/ab41b5
Bahovadinov, M. S., Gulseren, O., and Schnack, J. (2019). Local entanglement and string order parameter in dimerized models. JOURNAL OF PHYSICS-CONDENSED MATTER 31:505602.
Bahovadinov, M.S., Gulseren, O., & Schnack, J., 2019. Local entanglement and string order parameter in dimerized models. JOURNAL OF PHYSICS-CONDENSED MATTER, 31(50): 505602.
M.S. Bahovadinov, O. Gulseren, and J. Schnack, “Local entanglement and string order parameter in dimerized models”, JOURNAL OF PHYSICS-CONDENSED MATTER, vol. 31, 2019, : 505602.
Bahovadinov, M.S., Gulseren, O., Schnack, J.: Local entanglement and string order parameter in dimerized models. JOURNAL OF PHYSICS-CONDENSED MATTER. 31, : 505602 (2019).
Bahovadinov, Murod S., Gulseren, Oguz, and Schnack, Jürgen. “Local entanglement and string order parameter in dimerized models”. JOURNAL OF PHYSICS-CONDENSED MATTER 31.50 (2019): 505602.

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