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Quantum Phase Transitions in Matrix Product States |
| ZHU Jing-Min |
| Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 610064 |
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| Cite this article: |
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ZHU Jing-Min 2008 Chin. Phys. Lett. 25 3574-3577 |
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Abstract We present a new general and much simpler scheme to construct various quantum phase transitions (QPTs) in spin chain systems with matrix product ground states. By use of the scheme we take into account one kind of matrix product state (MPS) QPT and provide a concrete model. We also study the properties of the concrete example and show that a kind of QPT appears, accompanied by the appearance of the discontinuity of the parity absent block physical observable, diverging correlation length only for the parity absent block operator, and other properties which are that the fixed point of the transition point is an isolated intermediate-coupling fixed point of renormalization flow and the entanglement entropy of a half-infinite chain is discontinuous.
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| Keywords:
05.30.-d
64.60.-i
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Received: 05 May 2008
Published: 26 September 2008
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| PACS: |
05.30.-d
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(Quantum statistical mechanics)
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64.60.-i
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(General studies of phase transitions)
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[1] Sachdev S 1999 Quantum Phase Transitions (Cambridge:Cambridge University Press)
[2] Fannes M et al 1992 Commun. Math. Phys. 144443
[3] Verstraete F et al 2004 Phys. Rev. Lett. 93227205
[4] Verstraete F and Cirac J I cond-mat/0505140 Osborne T J quant-ph/0508031; Hastings M B cond-mat/ 0508554
[5] Affleck I et al 1988 Commun. Math. Phys. 115477
[6] Kl\"umper A et al 1991 J. Phys. A 24 L955 Kl\"umper A et al 1992 Z. Phys. B 87 281
[7] Kl\"umper A et al 1993 Europhys. Lett. 24 293
[8] Wolf M M et al 2006 Phys. Rev. Lett. 97 110403
[9] Asoudeh M et al 2007 Phys. Rev. B 75 224427
[10] Cen L X and Wang Z D unpublished
[11] Nachtergaele B 1996 Commun. Math. Phys. 175565
[12] Nielsen N et al 2000 Quantum Computation and QuantumCommunication (Cambridge: Cambridge University Press)
[13] Verstraete F et al 2005 Phys. Rev. Lett. 94140601
[14] Vidal V et al 2003 Phys. Rev. Lett. 90 227902 |
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