On \(\mathsf{c = 1}\) critical phases in anisotropic spin-1 chains

  • C. Degli Esposti Boschi
  • E. Ercolessi
  • F. Ortolani
  • M. RoncagliaEmail author


Quantum spin-1 chains may develop massless phases in presence of Ising-like and single-ion anisotropies. We have studied c = 1 critical phases by means of both analytical techniques, including a mapping of the lattice Hamiltonian onto an O(2) NL\(\sigma\)M, and a multi-target DMRG algorithm which allows for accurate calculation of excited states. We find excellent quantitative agreement with the theoretical predictions and conclude that a pure Gaussian model, without any orbifold construction, describes correctly the low-energy physics of these critical phases. This combined analysis indicates that the multicritical point at large single-ion anisotropy does not belong to the same universality class as the Takhtajan-Babujian Hamiltonian as claimed in the past. A link between string-order correlation functions and twisting vertex operators, along the c = 1 line that ends at this point, is also suggested.


Vertex Operator Gaussian Model Accurate Calculation Quantitative Agreement Universality Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • C. Degli Esposti Boschi
    • 1
  • E. Ercolessi
    • 1
    • 2
  • F. Ortolani
    • 1
    • 2
  • M. Roncaglia
    • 1
    • 2
    Email author
  1. 1.INFM Research Unit of BolognaBolognaItaly
  2. 2.Physics DepartmentUniversity of Bologna, and INFNBolognaItaly

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