Non-uniform Quantum Spin Chains: Simulations of Static and Dynamic Properties

作者: Artur Barasiński , Bartosz Brzostowski , Ryszard Matysiak , Paweł Sobczak , Dariusz Woźniak

DOI: 10.1007/978-3-642-55195-6_42

关键词:

摘要: Since magnetic materials are often composed of magnetically isolated chains, their properties can be described by the one-dimensional quantum Heisenberg model. The transfer matrix (QTM) method based on a checkerboard structure has been applied for alternating spin chains. To increase length in Trotter direction we apply density-matrix renormalization technique and check efficiency parallelization part code: construction matrix. Next, using Matrix Product State representation, time evolution ground-state magnetization performed after sudden change field.

参考文章(28)
Eric F. Van de Velde, Concurrent Scientific Computing ,(1994)
Artur Barasiński, Paweł Sobczak, Andrzej Drzewiński, Grzegorz Kamieniarz, Alina Bieńko, Jerzy Mroziński, Dante Gatteschi, Anisotropy and magnetic properties of the bimetallic thiocyanate-bridged chains: Density-matrix renormalization approach Polyhedron. ,vol. 29, pp. 1485- 1491 ,(2010) , 10.1016/J.POLY.2010.01.002
P. Androvitsaneas, N.G. Fytas, E. Paspalakis, A.F. Terzis, Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains Philosophical Magazine. ,vol. 92, pp. 4649- 4656 ,(2012) , 10.1080/14786435.2012.716200
A. Barasiński, G. Kamieniarz, A. Drzewiński, Magnetization-based assessment of correlation energy in canted single-chain magnets Physical Review B. ,vol. 86, pp. 214412- ,(2012) , 10.1103/PHYSREVB.86.214412
Olav F. Syljuåsen, Anders W. Sandvik, Quantum Monte Carlo with directed loops. Physical Review E. ,vol. 66, pp. 046701- ,(2002) , 10.1103/PHYSREVE.66.046701
G A Gehring, T Xiang, R J Bursill, The density matrix renormalization group for a quantum spin chain at non-zero temperature Journal of Physics: Condensed Matter. ,vol. 8, ,(1996) , 10.1088/0953-8984/8/40/003
G.V. Wilson, Practical parallel programming IEEE Concurrency. ,vol. 7, pp. 91- 91 ,(1999) , 10.1109/MCC.1999.806991
Steven R. White, Density-matrix algorithms for quantum renormalization groups. Physical Review B. ,vol. 48, pp. 10345- 10356 ,(1993) , 10.1103/PHYSREVB.48.10345
Naokazu Shibata, Thermodynamics of the Anisotropic Heisenberg Chain Calculated by the Density Matrix Renormalization Group Method. Journal of the Physical Society of Japan. ,vol. 66, pp. 2221- 2223 ,(1997) , 10.1143/JPSJ.66.2221