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Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group

Publication ,  Journal Article
Barthel, T; Schollwöck, U; White, SR
Published in: Physical Review B - Condensed Matter and Materials Physics
June 1, 2009

We present time-dependent density matrix renormalization group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy and very accurate calculation of spectral functions in one-dimensional quantum systems, irrespective of their statistics for arbitrary temperatures. This is illustrated with spin structure factors of XX and XXX spin- 1 2 chains. For the XX model we can compare against an exact solution, and for the XXX model (Heisenberg antiferromagnet) against a Bethe ansatz solution and quantum Monte Carlo data. © 2009 The American Physical Society.

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Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

June 1, 2009

Volume

79

Issue

24

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Barthel, T., Schollwöck, U., & White, S. R. (2009). Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group. Physical Review B - Condensed Matter and Materials Physics, 79(24). https://doi.org/10.1103/PhysRevB.79.245101
Barthel, T., U. Schollwöck, and S. R. White. “Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group.” Physical Review B - Condensed Matter and Materials Physics 79, no. 24 (June 1, 2009). https://doi.org/10.1103/PhysRevB.79.245101.
Barthel T, Schollwöck U, White SR. Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group. Physical Review B - Condensed Matter and Materials Physics. 2009 Jun 1;79(24).
Barthel, T., et al. “Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group.” Physical Review B - Condensed Matter and Materials Physics, vol. 79, no. 24, June 2009. Scopus, doi:10.1103/PhysRevB.79.245101.
Barthel T, Schollwöck U, White SR. Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group. Physical Review B - Condensed Matter and Materials Physics. 2009 Jun 1;79(24).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

June 1, 2009

Volume

79

Issue

24

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences