Berlin 2015 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 18: Correlated Electrons: Spin Systems and Itinerant Magnets – Frustrated Magnets 2 (jointly with MA)

TT 18.1: Vortrag

Montag, 16. März 2015, 15:00–15:15, H 3005

Semionic resonating valence bond states — •Mohsin Iqbal¹, Didier Poilblanc², and Norbert Schuch¹ — ¹JARA Institute for Quantum Information, RWTH Aachen, 52056 Aachen, Germany — ²Laboratoire de Physique Theorique, C.N.R.S. and Universite de Toulouse, 31062 Toulouse, France

Ground state of Heisenberg antiferromagnet (HAFM) on kagome lattice forms a Z2 topological spin liquid. However, the topological nature of the spin liquid is not entirely clear. We propose semionic resonating valence bond (RVB) states as an ansatz to characterize the topological order using the formalism of Projected Entangled Pair States (PEPS). In contrast to normal resonating valence bond state (proposed in earlier studies as another ansatz) which is in the phase of Kiteav toric code, semionic RVB states carry the topological order of double semion model.

Within PEPS formalism one can extend the ansatz and construct semionic simplex RVB states. Variational calculations show that semionic simplex RVB states give relatively lower energy for HAFM on kagome lattice compared to simplex RVB states and make a better candidate to describe the topological order.