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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/4036 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/4036 http://eprints.org/relation/ismediumThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/4036 4047 2 11204 document 4047 small.jpg image/png c0930b7e68c0adc9b9a4576a5df7025b MD5 1870 2014-02-08 16:05:29 http://eprints.iliauni.edu.ge/938/6/small.jpg 938 6 6 image/png other Thumbnails conversion from text to thumbnail_small ge public

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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/4036 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/4036 http://eprints.org/relation/issmallThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/4036 archive 34 disk0/00/00/09/38 2014-02-09 11:57:14 2015-04-03 06:16:56 2014-02-09 11:57:14 article show Chern Gia-Wei Perkins Natalia Japaridze G.I. gia_japaridze@iliauni.edu.ge pub QC fac_eng public 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. 2010-11-18 Physical Review B 82 17 American Physical Society 172408-1 TRUE