Topological quantum phase transition in the extended Kitaev spin model

@article{Shi2009TopologicalQP,
  title={Topological quantum phase transition in the extended Kitaev spin model},
  author={Xiao-Feng Shi and Yue Yu and J. Q. You and Franco Nori},
  journal={Physical Review B},
  year={2009},
  volume={79},
  pages={134431}
}
We study the quantum phase transition between Abelian and non-Abelian phases in an extended Kitaev spin model on the honeycomb lattice, where the periodic boundary condition is applied by placing the lattice on a torus. Our analytical results show that this spin model exhibits a continuous quantum phase transition. Also, we reveal the relationship between bipartite entanglement and the ground-state energy. Our approach directly shows that both the entanglement and the ground-state energy can be… 

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References

SHOWING 1-10 OF 49 REFERENCES
Quantum phase transitions
Part I. Introduction: 1. Basic concepts 2. The mapping to classical statistical mechanics: single site models 3. Overview Part II. Quantum Ising and Rotor Models: 4. The Ising chain in a transverse
Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons
1. Introduction 2. Path integral formulation of quantum mechanics 3. Interacting boson systems 4. Free fermion systems 5. Interacting fermion systems 6. Quantum gauge theories 7. Theory of quantum
Quantum computation and quantum information
  • T. Paul
  • Physics
    Mathematical Structures in Computer Science
  • 2007
This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
  • Rev. Lett. 98, 087204
  • 2007
Phys
  • Rev. B 78, 045101
  • 2008
Phys
  • Rev. Lett. 99, 196805
  • 2007
A 41
  • 075001
  • 2008
...
...