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TT: Fachverband Tiefe Temperaturen

TT 19: Frustrated Magnets - Spin Liquids - Theory

TT 19.4: Vortrag

Montag, 12. März 2018, 15:45–16:00, H 3010

Existence of spin-liquid states in the Kitaev-Heisenberg ladder — •Cliò Efthimia Agrapidis¹, Jeroen van den Brink^{1, 2}, and Satoshi Nishimoto^{1, 2} — ¹IFW Dresden, Dresden, Germany — ²Technical University Dresden, Dresden, Germany

It is widely accepted that the Kitaev-Heisenberg (KH) model on a honeycomb lattice is a good minimal model for some candidate spin liquid materials (e.g. α-RuCl₃). Though the KH hamiltonian has been studied in 2D, systematic analysis including finite-size scaling is still lacking due to numerical difficulties. Whereas very precise analysis is possible for 1D and quasi-1D KH systems

We study the KH ladder using the exact diagonalization and density matrix renormalization group techniques. We present its phase diagram as a function of an angle parameter φ, having defined the Kitaev interaction as sinφ and the Heisenberg one as cosφ. Remarkably, we find that the phase diagram has a resemblance to the one suggested for the same model on the honeycomb lattice [1], showing the same phases, namely spin-singlet (or Néel), zig-zag, ferromagnetic, stripy and two spin liquid states.

We also present some results in the presence of magnetic field and discuss the spin-liquid properties.
J. Chaloupka, G. Jackeli, G. Khaliullin, PRL 110 097204 (2013)