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Exploring frustrated spin systems using projected entangled pair states

(2009) PHYSICAL REVIEW B. 79(19).
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Abstract
We study the nature of the ground state of the frustrated J(1)-J(2) model and the J(1)-J(3) model using a variational algorithm based on projected entangled pair states. By investigating spin-spin correlation functions, we observe a separation in parameter regions with long- and short-range order. A direct comparison with exact diagonalizations in the subspace of short-range valence bond singlets reveals that the system is well described by states within this subset in the short-range order regions. We discuss the question whether the system forms a spin liquid, a plaquette valence bond crystal, or a columnar dimer crystal in these parameter regions.
Keywords
DENSITY-MATRIX RENORMALIZATION, LARGE-N EXPANSION, QUANTUM, ANTIFERROMAGNETS, HEISENBERG MODELS, TRANSITION, LATTICE, frustration, ground states, long-range order, quantum entanglement, short-range order, spin systems, variational techniques, VB calculations

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Please use this url to cite or link to this publication:

Chicago
Murg, V, Frank Verstraete, and JI Cirac. 2009. “Exploring Frustrated Spin Systems Using Projected Entangled Pair States.” Physical Review B 79 (19).
APA
Murg, V., Verstraete, F., & Cirac, J. (2009). Exploring frustrated spin systems using projected entangled pair states. PHYSICAL REVIEW B, 79(19).
Vancouver
1.
Murg V, Verstraete F, Cirac J. Exploring frustrated spin systems using projected entangled pair states. PHYSICAL REVIEW B. 2009;79(19).
MLA
Murg, V, Frank Verstraete, and JI Cirac. “Exploring Frustrated Spin Systems Using Projected Entangled Pair States.” PHYSICAL REVIEW B 79.19 (2009): n. pag. Print.
@article{8589243,
  abstract     = {We study the nature of the ground state of the frustrated J(1)-J(2) model and the J(1)-J(3) model using a variational algorithm based on projected entangled pair states. By investigating spin-spin correlation functions, we observe a separation in parameter regions with long- and short-range order. A direct comparison with exact diagonalizations in the subspace of short-range valence bond singlets reveals that the system is well described by states within this subset in the short-range order regions. We discuss the question whether the system forms a spin liquid, a plaquette valence bond crystal, or a columnar dimer crystal in these parameter regions.},
  articleno    = {195119},
  author       = {Murg, V and Verstraete, Frank and Cirac, JI},
  issn         = {2469-9950},
  journal      = {PHYSICAL REVIEW B},
  keywords     = {DENSITY-MATRIX RENORMALIZATION,LARGE-N EXPANSION,QUANTUM,ANTIFERROMAGNETS,HEISENBERG MODELS,TRANSITION,LATTICE,frustration,ground states,long-range order,quantum entanglement,short-range order,spin systems,variational techniques,VB calculations},
  language     = {eng},
  number       = {19},
  pages        = {7},
  title        = {Exploring frustrated spin systems using projected entangled pair states},
  url          = {http://dx.doi.org/10.1103/PhysRevB.79.195119},
  volume       = {79},
  year         = {2009},
}

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