Chern, GiaWei and Perkins, Natalia and Japaridze, G.I. (2010) Quantum criticality of vanadium chains with strong relativistic spinorbit interaction. Physical Review B, 82 (17). pp. 1724081.

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Abstract
We study quantum phase transitions induced by the onsite spinorbit interaction $\lambda \mathbf L\cdot\mathbf S$ in a toy model of vanadium chains. In the $\lambda\to 0$ limit, the weakly coupled spin and orbital sectors are described by a Haldane and an Ising chain, respectively. The gapped ground state is composed of a ferroorbital order and a spin liquid with finite correlation lengths. In the opposite limit, strong spinorbital entanglement results in a simultaneous spin and orbitalmoment ordering, which can be viewed as an orbital liquid. Using a combination of analytical arguments and densitymatrix renormalization group calculation, we show that an intermediate phase, where the ferroorbital state is accompanied by a spin N\'eel order, is bounded on both sides by Ising transition lines. Implications for vanadium compounds CaV$_2$O$_4$ and ZnV$_2$O$_4$ are also discussed.
Item Type:  Article 

Subjects:  Q Science > QC Physics 
Divisions:  Faculties/Schools > School of Natural Sciences and Engineering 
Depositing User:  გიორგი ჯაფარიძე 
Date Deposited:  09 Feb 2014 11:57 
Last Modified:  03 Apr 2015 06:16 
URI:  http://eprints.iliauni.edu.ge/id/eprint/938 
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