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Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization by Chaloupka, Jiří; Oleś, Andrzej M. is a scholarly article available to read on EtoBox.

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We investigate the ground state of the $d^1$ spin-orbital model for triply degenerate $t_{2g}$ orbitals on a triangular lattice which unifies intrinsic frustration of spin and orbital interactions with geometrical frustration. Using full or Lanczos exact diagonalization of finite clusters we establish that the ground state of the spin-orbital model which interpolates between the superexchange and direct exchange interactions on the bonds is characterized by valence-bond correlations. In the absence of Hund's exchange the model describes a competition between various possible valence-bond states. By considering the clusters with open boundary conditions we demonstrate that orbital interactions are always frustrated, but this frustration is removed by pronounced spin singlet correlations which coexist with supporting them dimer orbital correlations. Such local configurations contribute to the disordered ground states found for the clusters with periodic boundary conditions which interpolate between a highly resonating, dimer-based, entangled spin-orbital liquid phase, and a valence-bond state with completely static spin-singlet states. We argue that these states are also realized for

Author

Chaloupka, Jiří; Oleś, Andrzej M.

Published

2011

Language

EN