Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 20: Poster Session: Correlated Electrons 2
TT 20.18: Poster
Monday, March 20, 2017, 15:00–19:00, P2-OG1
Numerical Study of the Kitaev-Heisenberg Chain — •Cliò Efthimia Agrapidis1,2, Jeroen van den Brink1,2, and Satoshi Nishimoto1,2 — 1Institute for Theoretical Solid State Physics, IFW Dresden, 01069 Dresden, Germany — 2Department of Physics, Technical University Dresden, 01069 Dresden, Germany
In recent years, because of the emergence of candidate materials and the interest in the spin liquid state realization, there has been a growing number of studies on the Kitaev model, at first, and on the Kitaev-Heisenberg (KH) after. Adding the Heisenberg-type interaction to the initial, exactly integrable, model is necessary and inevitable for any realistic description. Nevertheless, the vast majority of these studies is focused on 2-dimensional lattices (honeycomb, triangular), while research on the KH chain is lacking.
Motivated by this, we study the KH chain using the exact diagonalization and the density matrix renormalization group techniques. We present the phase diagram as a function of an angle parameter φ, setting the Heisenberg interaction to cosφ and the Kitaev one to sinφ. We identify five different possible phases; namely, Heisenberg, incommensurate, ferromagnetic, XY and Néel phases, by calculating total spin, central charge, static structure factor, and the Néel and XY order parameters. Moreover, we investigate specific features of the dynamical structure factor in each phase. In addition, we present some of the above calculations in the presence of an applied magnetic field.