Quantum criticality of vanadium chains with strong relativistic spin-orbit interaction

Chern, Gia-Wei and Perkins, Natalia and Japaridze, G.I. (2010) Quantum criticality of vanadium chains with strong relativistic spin-orbit interaction. Physical Review B, 82 (17). pp. 172408-1.


Download (172kB) | Preview


We study quantum phase transitions induced by the on-site spin-orbit 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 ferro-orbital order and a spin liquid with finite correlation lengths. In the opposite limit, strong spin-orbital entanglement results in a simultaneous spin and orbital-moment ordering, which can be viewed as an orbital liquid. Using a combination of analytical arguments and density-matrix renormalization group calculation, we show that an intermediate phase, where the ferro-orbital 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

Actions (login required)

View Item View Item