Geometric phases and quantum phase transitions in inhomogeneous XY spin-chains: Effect of the Dzyaloshinski－Moriya interaction

doi:10.1088/1674-1056/19/4/040512

Abstract We study geometric phases of the ground states of inhomogeneous XY spin chains in transverse fields with Dzyaloshinski--Moriya (DM) interaction, and investigate the effect of the DM interaction on the quantum phase transition (QPT) of such spin chains. The results show that the DM interaction could influence the distribution of the regions of QPTs but could not produce new critical points for the spin-chain. This study extends the relation between geometric phases and QPTs.

Keywords: geometric phase quantum phase transition the Dzyaloshinski--Moriya interaction

Received: 02 September 2009
Revised: 29 September 2009
Accepted manuscript online:

PACS:	75.10.Jm	(Quantized spin models, including quantum spin frustration)
	75.10.Pq	(Spin chain models)
	03.67.-a	(Quantum information)
	03.65.Vf	(Phases: geometric; dynamic or topological)

Fund: Project supported by National Natural Science Foundation of China (Grant Nos.~10847108 and 10775023).

Cite this article:

Wang Lin-Cheng(王林成) Yan Jun-Yan(闫俊彦), and Yi Xue-Xi(衣学喜) Geometric phases and quantum phase transitions in inhomogeneous XY spin-chains: Effect of the Dzyaloshinski－Moriya interaction 2010 Chin. Phys. B 19 040512

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Geometric phases and quantum phase transitions in inhomogeneous XY spin-chains: Effect of the Dzyaloshinski－Moriya interaction

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