Advanced search
1 file | 1.86 MB

Topological nature of spinons and holons : elementary excitations from matrix product states with conserved symmetries

(2018) PHYSICAL REVIEW B. 97(23).
Author
Organization
Project
QUTE (Quantum Tensor Networks and Entanglement)
Project
ERQUAF (Entanglement and Renormalisation for Quantum Fields)
Abstract
We develop variational matrix product state (MPS) methods with symmetries to determine dispersion relations of one-dimensional quantum lattices as a function of momentum and preset quantum number. We test our methods on the XXZ spin chain, the Hubbard model, and a nonintegrable extended Hubbard model and determine the excitation spectra with a precision similar to the one of the ground state. The formulation in terms of quantum numbers makes the topological nature of spinons and holons very explicit. In addition, the method also enables an easy and efficient direct calculation of the necessary magnetic field or chemical potential required for a certain ground state magnetization or particle density.
Keywords
QUANTUM RENORMALIZATION-GROUPS, MODEL, CHAINS, SYSTEMS, WAVE

Downloads

  • Topological nature of spinons and holons- Elementary excitations from matrix product states with conserved symmetries.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 1.86 MB

Citation

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

Chicago
Zauner-Stauber, V, Laurens Vanderstraeten, Jutho Haegeman, IP McCulloch, and Frank Verstraete. 2018. “Topological Nature of Spinons and Holons : Elementary Excitations from Matrix Product States with Conserved Symmetries.” Physical Review B 97 (23).
APA
Zauner-Stauber, V., Vanderstraeten, L., Haegeman, J., McCulloch, I., & Verstraete, F. (2018). Topological nature of spinons and holons : elementary excitations from matrix product states with conserved symmetries. PHYSICAL REVIEW B, 97(23).
Vancouver
1.
Zauner-Stauber V, Vanderstraeten L, Haegeman J, McCulloch I, Verstraete F. Topological nature of spinons and holons : elementary excitations from matrix product states with conserved symmetries. PHYSICAL REVIEW B. 2018;97(23).
MLA
Zauner-Stauber, V, Laurens Vanderstraeten, Jutho Haegeman, et al. “Topological Nature of Spinons and Holons : Elementary Excitations from Matrix Product States with Conserved Symmetries.” PHYSICAL REVIEW B 97.23 (2018): n. pag. Print.
@article{8570364,
  abstract     = {We develop variational matrix product state (MPS) methods with symmetries to determine dispersion relations of one-dimensional quantum lattices as a function of momentum and preset quantum number. We test our methods on the XXZ spin chain, the Hubbard model, and a nonintegrable extended Hubbard model and determine the excitation spectra with a precision similar to the one of the ground state. The formulation in terms of quantum numbers makes the topological nature of spinons and holons very explicit. In addition, the method also enables an easy and efficient direct calculation of the necessary magnetic field or chemical potential required for a certain ground state magnetization or particle density.},
  articleno    = {235155},
  author       = {Zauner-Stauber, V and Vanderstraeten, Laurens and Haegeman, Jutho and McCulloch, IP and Verstraete, Frank},
  issn         = {2469-9950},
  journal      = {PHYSICAL REVIEW B},
  language     = {eng},
  number       = {23},
  pages        = {15},
  title        = {Topological nature of spinons and holons : elementary excitations from matrix product states with conserved symmetries},
  url          = {http://dx.doi.org/10.1103/PhysRevB.97.235155},
  volume       = {97},
  year         = {2018},
}

Altmetric
View in Altmetric
Web of Science
Times cited: