메뉴 건너뛰기




Volumn 227, Issue 9, 2008, Pages 4512-4517

Efficient implementation of the Lanczos method for magnetic systems

Author keywords

Basis coding; Lanczos diagonalization; Parallelization; Spin systems

Indexed keywords

SPIN DYNAMICS;

EID: 40849087588     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.01.027     Document Type: Article
Times cited : (32)

References (14)
  • 1
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bur. Stand. 45 (1950) 255-282
    • (1950) J. Res. Nat. Bur. Stand. , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 2
    • 20044389808 scopus 로고
    • Density-matrix algorithms for quantum renormalization groups
    • White S.R. Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B 48 (1993) 10345
    • (1993) Phys. Rev. B , vol.48 , pp. 10345
    • White, S.R.1
  • 3
    • 33751276962 scopus 로고
    • Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic s = 1 heisenberg chain
    • White S.R., and Huse D. Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic s = 1 heisenberg chain. Phys. Rev. B 48 (1993) 3844
    • (1993) Phys. Rev. B , vol.48 , pp. 3844
    • White, S.R.1    Huse, D.2
  • 4
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • Schollwöck U. The density-matrix renormalization group. Rev. Mod. Phys. 77 (2005) 259-315
    • (2005) Rev. Mod. Phys. , vol.77 , pp. 259-315
    • Schollwöck, U.1
  • 5
    • 0037156926 scopus 로고    scopus 로고
    • Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
    • Schulenburg J., Honecker A., Schnack J., Richter J., and Schmidt H.-J. Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices. Phys. Rev. Lett. 88 (2002) 167207
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 167207
    • Schulenburg, J.1    Honecker, A.2    Schnack, J.3    Richter, J.4    Schmidt, H.-J.5
  • 7
    • 26944479207 scopus 로고    scopus 로고
    • Metamagnetic phase transition of the antiferromagnetic heisenberg icosahedron
    • Schröder C., Schmidt H.-J., Schnack J., and Luban M. Metamagnetic phase transition of the antiferromagnetic heisenberg icosahedron. Phys. Rev. Lett. 94 (2005) 207203
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 207203
    • Schröder, C.1    Schmidt, H.-J.2    Schnack, J.3    Luban, M.4
  • 8
    • 0033993141 scopus 로고    scopus 로고
    • Finite-temperature properties of doped antiferromagnets
    • Jaklič J., and Prelovšek P. Finite-temperature properties of doped antiferromagnets. Adv. Phys. 49 (2000) 1-92
    • (2000) Adv. Phys. , vol.49 , pp. 1-92
    • Jaklič, J.1    Prelovšek, P.2
  • 9
    • 33745127668 scopus 로고    scopus 로고
    • Kondo lattice model studied with the finite temperature lanczos method
    • Zerec I., Schmidt B., and Thalmeier P. Kondo lattice model studied with the finite temperature lanczos method. Phys. Rev. B 73 (2006) 245108
    • (2006) Phys. Rev. B , vol.73 , pp. 245108
    • Zerec, I.1    Schmidt, B.2    Thalmeier, P.3
  • 10
    • 0001251562 scopus 로고
    • Correlation functions of the antiferromagnetic heisenberg model using a modified lanczos method
    • Gagliano E.R., Dagotto E., Moreo A., and Alcaraz F.C. Correlation functions of the antiferromagnetic heisenberg model using a modified lanczos method. Phys. Rev. B 34 3 (1986) 1677-1682
    • (1986) Phys. Rev. B , vol.34 , Issue.3 , pp. 1677-1682
    • Gagliano, E.R.1    Dagotto, E.2    Moreo, A.3    Alcaraz, F.C.4
  • 11
    • 0001414688 scopus 로고
    • Exact diagonalization of quantum-spin models
    • Lin H.Q. Exact diagonalization of quantum-spin models. Phys. Rev. B 42 (1990) 6561-6567
    • (1990) Phys. Rev. B , vol.42 , pp. 6561-6567
    • Lin, H.Q.1
  • 12
    • 0141751983 scopus 로고    scopus 로고
    • Structure and relevant dimension of the Heisenberg model and applications to spin rings
    • Bärwinkel K., Schmidt H.-J., and Schnack J. Structure and relevant dimension of the Heisenberg model and applications to spin rings. J. Magn. Magn. Mater. 212 (2000) 240
    • (2000) J. Magn. Magn. Mater. , vol.212 , pp. 240
    • Bärwinkel, K.1    Schmidt, H.-J.2    Schnack, J.3
  • 13
    • 0035370546 scopus 로고    scopus 로고
    • Towards a fast parallel sparse symmetric matrix-vector multiplication
    • Geus R., and Rollin S. Towards a fast parallel sparse symmetric matrix-vector multiplication. Parallel Comput. 27 (2001) 883-896
    • (2001) Parallel Comput. , vol.27 , pp. 883-896
    • Geus, R.1    Rollin, S.2
  • 14
    • 33750335024 scopus 로고    scopus 로고
    • Parallel implementation of efficient preconditioned linear solver for grid-based applications in chemical physics. ii: QMR linear solver
    • Chen W.W., and Poirier B. Parallel implementation of efficient preconditioned linear solver for grid-based applications in chemical physics. ii: QMR linear solver. J. Comput. Phys. 219 (2006) 198-209
    • (2006) J. Comput. Phys. , vol.219 , pp. 198-209
    • Chen, W.W.1    Poirier, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.