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A exact diagonalization solution method for solving the one-dimensional Holstein model of DNA is discussed in this paper. We compared the results of this paper with the former results of coherent state variational method （CVM） to check the reliability and accuracy of CVM. It is clearly seen that the ground state energy calculated by exact diagonalization solution method is considerably smaller than that of the CVM and can reach the saturation with smaller site number. With the strict method we can not only obtain the ground state energy, but also the spectra of all excited states. Therefore there is a significant improvement in the studying of Holstein model than the former CVM .
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Keywords:
- Holstein model /
- exact diagonalization solution /
- ground-state energy /
- spectrum
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[2] ［2］Tadao T, Kiyohiko K, Mamoru F, Tetsuro M 2004 Proc. Natl. Acad. Sci. USA 101 14002
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[6] ［6］Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744
[7] ［7］Sheng Y B, Li J, Ma B L, Wang W 2005 Chin. Phys. 14 2365
[8] ［8］Deng C, Weng Y M, Xu Z Z, Fei L 2005 Acta Phys. Sin. 54 2434 （in Chinese）［邓闯、翁渝民、徐至中、费伦 2005 54 2434］
[9] ［9］Heim T, Me’lin T, Deresmes D, Vuillaume D 2003 Appl. Phys. Lett. 85 2637
[10] ］Thomas H, Dominique D and Dominique V 2004 J. Appl. Phys. 96 2927
[11] ］Yu Z G, Vo Anh, Gong Z M, Long S C 2002 Chin. Phys. 11 93
[12] ］Li W, Wang P Y, Dou S X, Tong P Q 2003 Chin. Phys. 12 96
[13] ］Barnett R N, Cleveland C L, Joy A, Landman U, Schuster G B 2001 Science 294 567
[14] ］Gervasio F L, Carloni P, Parrinello M 2002 Phys. Rev. Lett. 89 108102
[15] ］Alexandre S S, Artacho E, Solar J M, Chacham H 2003 Phys. Rev. Lett. 91 108105
[16] ］Liu Tao, Wang Y, Wang K L 2007 Chin. Phys. 16 0272［17］Yang Z Y，Hao Y 2005 Acta Phys. Sin. 54 2883（in Chinese ）［杨子元、 郝跃 2005 54 2883 ］
[17] ］Kou Z Q, Di N L, Ma X, Li Q A, Cheng Z H 2005 Chin. Phys. 14 1653
[18] ］Wang K L, Chen Q H, Wan S L 1994 Acta Phys. Sin 43 433（in Chinese ）［汪克林、 陈庆虎、 完绍龙 1994 43 433 ］
[19] ］Huang S W，Liu T，Fan Y X, Wang K L 2007 Acta Phys. Sin 56 433（in Chinese ）［黄书文、 刘涛、 范云霞、 汪克林 2007 56 433 ］
[20] ］Zhang Z J, Wang K L，Qin G 2005 Chin. Phys. 141317
[21] ］Liu T, Feng M, Wang K L 2005 Phys. Lett. A 337 487
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[1] ［1］Endres R G, Cox D L, Singh R R P 2004 Rev. Mod.Phys. 76 195
[2] ［2］Tadao T, Kiyohiko K, Mamoru F, Tetsuro M 2004 Proc. Natl. Acad. Sci. USA 101 14002
[3] ［3］Kalosakas G, Rasmussen K , Bishop A R 2003 J. Chem. Phys. 118 3731
[4] ［4］Giese B, Amaudrut J, Ke’hler A K, Spormann M, Wessely S 2001 Nature 412 318
[5] ［5］Yoo K H, Da D H, Lee J O, Park J W, Kim J H, Kim J J, Lee H Y, Kawai T, Choi H Y 2001 Phys. Rev. Lett. 87 198102
[6] ［6］Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744
[7] ［7］Sheng Y B, Li J, Ma B L, Wang W 2005 Chin. Phys. 14 2365
[8] ［8］Deng C, Weng Y M, Xu Z Z, Fei L 2005 Acta Phys. Sin. 54 2434 （in Chinese）［邓闯、翁渝民、徐至中、费伦 2005 54 2434］
[9] ［9］Heim T, Me’lin T, Deresmes D, Vuillaume D 2003 Appl. Phys. Lett. 85 2637
[10] ］Thomas H, Dominique D and Dominique V 2004 J. Appl. Phys. 96 2927
[11] ］Yu Z G, Vo Anh, Gong Z M, Long S C 2002 Chin. Phys. 11 93
[12] ］Li W, Wang P Y, Dou S X, Tong P Q 2003 Chin. Phys. 12 96
[13] ］Barnett R N, Cleveland C L, Joy A, Landman U, Schuster G B 2001 Science 294 567
[14] ］Gervasio F L, Carloni P, Parrinello M 2002 Phys. Rev. Lett. 89 108102
[15] ］Alexandre S S, Artacho E, Solar J M, Chacham H 2003 Phys. Rev. Lett. 91 108105
[16] ］Liu Tao, Wang Y, Wang K L 2007 Chin. Phys. 16 0272［17］Yang Z Y，Hao Y 2005 Acta Phys. Sin. 54 2883（in Chinese ）［杨子元、 郝跃 2005 54 2883 ］
[17] ］Kou Z Q, Di N L, Ma X, Li Q A, Cheng Z H 2005 Chin. Phys. 14 1653
[18] ］Wang K L, Chen Q H, Wan S L 1994 Acta Phys. Sin 43 433（in Chinese ）［汪克林、 陈庆虎、 完绍龙 1994 43 433 ］
[19] ］Huang S W，Liu T，Fan Y X, Wang K L 2007 Acta Phys. Sin 56 433（in Chinese ）［黄书文、 刘涛、 范云霞、 汪克林 2007 56 433 ］
[20] ］Zhang Z J, Wang K L，Qin G 2005 Chin. Phys. 141317
[21] ］Liu T, Feng M, Wang K L 2005 Phys. Lett. A 337 487
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