Multi-Chain Spin-Peierls Systems

  • Hidemaro Suwa
Part of the Springer Theses book series (Springer Theses)


We will investigate the multi-chain and the two-dimensional spin-Peierls systems with the interchain phonon interaction. An effective spin model will be discussed where the biquadratic spin-interaction term appears by tracing out the lattice degree of freedom. Considering the scaling dimension of the interaction, the ground state of the multi-chain and the two-dimensional system will have the dimer order when the interchain interaction is unfrustrated. On the other hand, the dimer order is likely to disappear for the fully frustrated chains. The expected phase diagram of the two-dimensional spin-Peierls model will be shown; the two different-pattern dimer phases are separated by the parameter line of fully frustrated interchain interaction. The interesting phase transition will occur between the gapless spin liquid phase and the macroscopically degenerated dimer phase on the line.


Interchain phonon interaction Frustrated multi spin-Peierls chain Spin liquid Macroscopically degenerated dimer phase 


  1. 1.
    Batista, C. D., & Trugman, S. A. (2004). Exact ground states of a frustrated 2d magnet: Deconfined fractional excitations at a first-order quantum phase transition. Physical Review Letters, 93, 217–202.CrossRefGoogle Scholar
  2. 2.
    Fukui, K., & Todo, S. (2009). Order-\(N\) cluster Monte Carlo method for spin systems with long-range interactions. Journal of Computational Physics, 228, 2629.MathSciNetADSCrossRefMATHGoogle Scholar
  3. 3.
    Steven Kivelson, A., Rokhsar Daniel, S., Sethna James, P. (1987). Topology of the resonating valence-bond state: Solitons and high-T, superconductivity. Physics Review B, 35, 8865–8868.Google Scholar
  4. 4.
    Lake, B., Tsvelik, A. M., Notbohm, S., Tennant, D. A., Perring, T. G., Reehuis, M., et al. (2010). Confinement of fractional quantum number particles in a condensed-matter system. Nature Physics, 6, 50–55.ADSCrossRefGoogle Scholar
  5. 5.
    Mastrogiuseppe, D., Gazza, C., & Dobry, A. (2008). Dimerization process and elementary excitations in spin-Peierls chains coupled by frustrated interactions. Journal of Physics: Condense Matter, 20, 135–223.Google Scholar
  6. 6.
    Nersesyan, A., & Tsvelik, A. M. (1997). One-dimensional spin-liquid without magnon excitations. Physical Review Letters, 78, 3939–3942.ADSCrossRefGoogle Scholar
  7. 7.
    Nersesyan, A., Tsvelik, A. M. (2003). Spinons in more than one dimension: Resonance valence bond state stabilized by frustration. Physical Review B, 67, 024422.Google Scholar
  8. 8.
    Senthil, T., & Fisher Matthew, P. A. (2001). Fractionalization in the cuprates: Detecting the topological order. Physical Review Letters, 86, 292–295.ADSCrossRefGoogle Scholar
  9. 9.
    Shelton, D. G., Nersesyan, A. A., & Tsvelik, A. M. (1996). Antiferromagnetic spin ladders: Crossover between spin \(S=1/2\) and \(S=1\) chains. Physical Review B, 53, 8521–8532.ADSCrossRefGoogle Scholar
  10. 10.
    Starykh, O. A., Balents, L. (2004). Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet. Physics Review Letter, 93, 127–202.Google Scholar
  11. 11.
    Tsvelik, A. M. (2004). Confinement and deconfinement of spinons in a frustrated spin-1/2 Heisenberg model. Physical Review B, 70, 134–412.Google Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Department of PhysicsBoston UniversityBostonUSA

Personalised recommendations