Part D MagnetismNo Access

DYNAMICS IN ONE-DIMENSIONAL SPIN SYSTEMS – DENSITY MATRIX RENORMALIZATION GROUP STUDY

S. NISHIMOTO

Max-Planck-Institut für Physik Komplexer Systeme, Dresden, D-01187, Germany

Search for more papers by this author

and

M. ARIKAWA

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan

Search for more papers by this author

https://doi.org/10.1142/S0217979207043646Cited by:7 (Source: Crossref)

Abstract

We study the one-dimensional S = 1/2 Heisenberg model with an uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties of chain with lengths up to a few hundreds, and the results are numerically exact in the same sense as 'exact diagonalization' results are. Thus, we can analyze the low-energy spectrum almost in the thermodynamic limit. In this work, we calculate the dynamical spin structure factor and demonstrate the performance of the DDMRG method applying the open-end boundary conditions as well as the periodic boundary conditions.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

G. M. Mülleret al., Phys. Rev. B 24, 1429 (1981). Crossref, Web of Science, ADS, Google Scholar
M. Jimbo and T. Miwa , Algebraic Analysis of Solvable Lattice Models ( American Mathematical Society , 1994 ) . Crossref, Google Scholar
A.H. Bougourzi, M. Couture and M. Kacir: Phys. Rev. B 54 (1996) R12669; M. Karbach, G. Müller, A.H. Bougourzi, A. Fledderjohann, and K-H. Mütter, Phys. Rev. B 55 12510 (1997) . Google Scholar
N. Kitanine, J. M. Maillet and V. Terras, Nucl. Phys. B 554, 647 (1999), DOI: 10.1016/S0550-3213(99)00295-3. Crossref, Web of Science, ADS, Google Scholar
D. Biegel, M. Karbach and G. Müller, Europhys Lett. 59, 882 (2002), DOI: 10.1209/epl/i2002-00125-0. Crossref, ADS, Google Scholar
T. Kühner and S. R. White, Phys. Rev. B 60, 335 (1999). Crossref, Web of Science, ADS, Google Scholar
E. Jeckelmann, Phys. Rev. B 66, 045114 (2002), DOI: 10.1103/PhysRevB.66.045114. Crossref, Web of Science, Google Scholar
S. R. White, Phys. Rev. Lett. 69, 2863 (1992), DOI: 10.1103/PhysRevLett.69.2863. Crossref, Web of Science, Google Scholar
H. Benthien, F. Gebhard and E. Jeckelmann, Phys. Rev. Lett. 92, 256401 (2004), DOI: 10.1103/PhysRevLett.92.256401. Crossref, Web of Science, ADS, Google Scholar
S. Nishimoto and E. Jeckelmann, J. Phys.: Condens. Matter 16, 613 (2004), DOI: 10.1088/0953-8984/16/4/010. Crossref, Web of Science, ADS, Google Scholar
R. B. Griffiths, Phys. Rev. 133, A768 (1964), DOI: 10.1103/PhysRev.133.A768. Crossref, Web of Science, ADS, Google Scholar
F. D. M. Haldane, Phys. Rev. Lett. 60, 635 (1988), DOI: 10.1103/PhysRevLett.60.635. Crossref, Web of Science, ADS, Google Scholar
B. S. Shastry, Phys. Rev. Lett. 60, 639 (1988), DOI: 10.1103/PhysRevLett.60.639. Crossref, Web of Science, ADS, Google Scholar
F. D. M. Haldane and M. R. Zirnbauer, Phys. Rev. Lett. 71, 4055 (1993), DOI: 10.1103/PhysRevLett.71.4055. Crossref, Web of Science, ADS, Google Scholar
J. C. Talstra and F. D. M. Haldane, Phys. Rev. B 50, 6889 (1994): (Erratum) Phys. Rev. B 54, 12594 (1996) . Google Scholar
D. Serban, F. Lesage and V. Pasquier, Nucl. Phys. B 466, 499 (1996), DOI: 10.1016/0550-3213(96)00071-5. Crossref, Web of Science, ADS, Google Scholar
Y. Saiga and Y. Kuramoto, J. Phys. Soc. Jpn 69, 3917 (2000), DOI: 10.1143/JPSJ.69.3917. Crossref, ADS, Google Scholar
M. Arikawa and Y. Saiga, J. Phys. A Gen 39, 10603 (2006), DOI: 10.1088/0305-4470/39/34/001. Crossref, Google Scholar