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TT: Fachverband Tiefe Temperaturen

TT 28: Poster Session: Topological Topics

TT 28.18: Poster

Monday, March 12, 2018, 15:00–19:00, Poster B

Topological phase characterization of SSHH model — Daniel Duarte, Marta Prada, and •Daniela Pfannkuche — Universität Hamburg, I. Institut für Theoretische Physik, Jungiusstrasse 9, 20355 Hamburg

We study a one-dimensional interacting fermionic chain by means of density matrix renormalization group. 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 a striking phase showing finite spin edge correlations. Next we characterise the topology of the phase in terms its Zak phase and the existence of edge states. We discuss the connection between the appearance of edge-spin correlations and the Zak phase, and provide an extended phase diagram, complementing existing ones [1,2] These results could be experimentally realised in a cold atom experiment with a one-dimensional optical trap.
B.-T. Ye, L.-Z. Mu, H. Fan, Phys. Rev. B 94, 165167 (2016).
Da Wang, S. Xu, Yu Wang, C. Wu, Phys. Rev B 91, 115118 (2015).