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Topological Characterization of Extended Quantum Ising Models

Zhang, G ; Song, Z

Physical review letters, 2015-10, Vol.115 (17), p.177204-177204, Article 177204 [Periódico revisado por pares]

United States

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  • Título:
    Topological Characterization of Extended Quantum Ising Models
  • Autor: Zhang, G ; Song, Z
  • Assuntos: Ground state ; Ising model ; Order parameters ; Phase diagrams ; Phases ; Topology ; Two dimensional ; Winding
  • É parte de: Physical review letters, 2015-10, Vol.115 (17), p.177204-177204, Article 177204
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: We show that a class of exactly solvable quantum Ising models, including the transverse-field Ising model and anisotropic XY model, can be characterized as the loops in a two-dimensional auxiliary space. The transverse-field Ising model corresponds to a circle and the XY model corresponds to an ellipse, while other models yield cardioid, limacon, hypocycloid, and Lissajous curves etc. It is shown that the variation of the ground state energy density, which is a function of the loop, experiences a nonanalytical point when the winding number of the corresponding loop changes. The winding number can serve as a topological quantum number of the quantum phases in the extended quantum Ising model, which sheds some light upon the relation between quantum phase transition and the geometrical order parameter characterizing the phase diagram.
  • Editor: United States
  • Idioma: Inglês

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