Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 68: Topology: Other Topics

TT 68.6: Vortrag

Freitag, 5. April 2019, 10:45–11:00, H22

Edge spin correlations driving topological phase transition in an 1D interacting model — •Daniel Duarte, Daniela Pfannkuche, and Marta Prada — Universität Hamburg, I. Institut für Theoretische Physik, Jungiusstrasse 9, 20355 Hamburg

We study a one-dimensional Su-Schrieffer-Heeger like dimerized chain of interacting fermions by means of density matrix renormalization group on the MPS ansatz. The different spin correlation functions are studied and a phase diagram is obtained as a function of dimerization and on site interaction parameters. We find finite spin edge correlations at the transition region of the trivial topological phase and the non-trivial one. Next we characterise the topology in terms its quantum topological phase and the existence of localized spin edge states when the phase is non-trivial. We discuss the connection between the appearance of edge-spin correlations and the phase, the calculation of the phase itself and provide an extended phase diagram, complementing existing ones [1,2]
B.-T. Ye, L.-Z. Mu, and H. Fan, Phys. Rev. B 94, 165167 (2016)
Da Wang, S. Xu, Yu Wang and C. Wu, Phys. Rev B 91, 115118 (2015)