Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures

Steinigeweg R, Schnalle R (2010)
PHYSICAL REVIEW E 82(4): 40103.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Steinigeweg, Robin; Schnalle, RomanUniBi
Abstract / Bemerkung
Spin transport in the anisotropic Heisenberg chain is typically investigated theoretically with respect to the finiteness of transport coefficients only. Assuming their finiteness at high temperatures, we develop a concrete quantitative picture of the diffusion constant/(dc-)conductivity as a function of both the anisotropy parameter Delta and the spin quantum number s, going beyond the most commonly considered case s = 1/2. Using this picture, we enable the comparison of finite transport coefficients from complementary theoretical methods on a quantitative level, having more significance than the finiteness alone. Our method is essentially based on an application of the time-convolutionless projection operator technique to current autocorrelations. This technique, although being a perturbation theory in Delta, is found to be applicable, even if Delta is not small. This finding supports the applicability to a wider class of strongly interacting many-particle quantum systems.
Erscheinungsjahr
2010
Zeitschriftentitel
PHYSICAL REVIEW E
Band
82
Ausgabe
4
Art.-Nr.
40103
ISSN
1539-3755
eISSN
1550-2376
Page URI
https://pub.uni-bielefeld.de/record/1929662

Zitieren

Steinigeweg R, Schnalle R. Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures. PHYSICAL REVIEW E. 2010;82(4): 40103.
Steinigeweg, R., & Schnalle, R. (2010). Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures. PHYSICAL REVIEW E, 82(4), 40103. https://doi.org/10.1103/PhysRevE.82.040103
Steinigeweg, R., and Schnalle, R. (2010). Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures. PHYSICAL REVIEW E 82:40103.
Steinigeweg, R., & Schnalle, R., 2010. Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures. PHYSICAL REVIEW E, 82(4): 40103.
R. Steinigeweg and R. Schnalle, “Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures”, PHYSICAL REVIEW E, vol. 82, 2010, : 40103.
Steinigeweg, R., Schnalle, R.: Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures. PHYSICAL REVIEW E. 82, : 40103 (2010).
Steinigeweg, Robin, and Schnalle, Roman. “Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures”. PHYSICAL REVIEW E 82.4 (2010): 40103.

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PMID: 21230223
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arXiv: 1006.4511

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