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We use a density-matrix renormalization group method to study quantitatively the phase diagram of the half-filled one-dimensional (1D) extended Hubbard model in the presence of a staggered ionic potential Δ. An extensive finite-size scaling analysis is carried out on the relevant structure factors and localization operator to characterize the Mott-insulator (MI)-bond-ordered insulator (BOI)-band-insulator (BI) transitions. The intermediate BOI phase occupies a small region of the phase diagram, and this region is enlarged in the presence of Δ. In addition, the phase diagram of ionic Hubbard (the nearest-neighbor electron-electron interaction V=0) is also given.
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Keywords:
- density-matrix renormalization group /
- Hubbard model /
- quantum phase transition /
- phase diagram
[1] Manmana S R, Meden V, Noack R M, Schönhammer K 2004 Phys. Rev. B 70 155115
[2] Batista C D, Aligia A A 2004 Phys. Rev. Lett. 92 246405
[3] Garg A, Krishnamurthy H R, Randeria M 2006 Phys. Rev. Lett. 97 046403
[4] Fuhrmann A, Heilmann D, Monien H 2006 Phys. Rev. B 73 245118
[5] Paris N, Bouadim K, Hebert F, Batrouni G G, Scalettar R T 2007 Phys. Rev. Lett. 98 046403
[6] Kancharla S S, Dagotto E 2007 Phys. Rev. Lett. 98 016402
[7] Greiner M, Mandel O, Esslinger T, Hänsch T W, Bloch I 2002 Nature 415 39
[8] Hubbard J, Torrance J B 1981 Phys. Rev. Lett. 47 1750
[9] Nagaosa N, Takimoto J 1986 J. Phys. Soc. Jpn. 55 2735
[10] Egami T, Ishihara S, Tachiki M 1993 Science 261 1307
[11] Ishihara S, Egami T, Tachiki M 1994 Phys. Rev. B 49 8944
[12] Fabrizio M, Gogolin A O, Nersesyan A A 1999 Phys. Rev. Lett. 83 2014
[13] Fabrizio M, Gogolin A O, Nersesyan A A 2000 Nucl. Phys. B 580 647
[14] Zhang Y Z, Wu C Q, Lin H Q 2003 Phys. Rev. B 67 205109
[15] Kampf A P, Sekania M, Japaridze G I, Brune P 2003 J. Phys.: Condens. Matter 15 5895
[16] Otsuka H, Nakamura M 2005 Phys. Rev. B 71 155105
[17] Torio M E, Aligia A A, Japaridze G I, Normand B 2006 Phys. Rev. B 73 115109
[18] Emery V J 1997 in: Highly Conducting One Dimensional Solids (New York: Plenum) p247
[19] Sòlyom J 1979 Adv. Phys. 28 201
[20] Nakamura M 2000 Phys. Rev. B 61 16377
[21] Sengupta P, Sandvik A W, Campbell D K 2002 Phys. Rev. B 65 155113
[22] Zhang Y Z 2004 Phys. Rev. Lett. 92 246404
[23] Sandvik A W, Balents L, Campbell D K 2004 Phys. Rev. Lett. 92 236401
[24] Glocke S, Klumper A, Sirker J 2007 Phys. Rev. B 76 155121
[25] White S R 1992 Phys. Rev. Lett. 69 2863
[26] White S R 1993 Phys. Rev. B 48 10345
[27] Schollwöck U 2005 Rev. Mod. Phys. 77 259
[28] Resta R, Sorella S 1999 Phys. Rev. Lett. 82 370
[29] Nakamura M, Voit J 2002 Phys. Rev. B 65 153110
[30] Voit J 1995 Rep. Prog. Phys. 58 977
[31] Aligia A A, Ortiz G 1999 Phys. Rev. Lett. 82 2560
[32] Aligia A A, Hallberg K, Batista C D, Ortiz G 2000 Phys. Rev. B 61 7883
[33] Ortiz G, Aligia A A 2000 Phys. Status Solidi B 220 737
[34] Vidal G 2004 Phys. Rev. Lett. 93 040502
[35] White S R, Feiguin A E 2004 Phys. Rev. Lett. 93 076401
[36] Ejima S, Nishimoto S 2007 Phys. Rev. Lett. 99 216403
[37] Torio M E, Aligia A A, Ceccatto H A 2001 Phys. Rev. B 64 121105R
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[1] Manmana S R, Meden V, Noack R M, Schönhammer K 2004 Phys. Rev. B 70 155115
[2] Batista C D, Aligia A A 2004 Phys. Rev. Lett. 92 246405
[3] Garg A, Krishnamurthy H R, Randeria M 2006 Phys. Rev. Lett. 97 046403
[4] Fuhrmann A, Heilmann D, Monien H 2006 Phys. Rev. B 73 245118
[5] Paris N, Bouadim K, Hebert F, Batrouni G G, Scalettar R T 2007 Phys. Rev. Lett. 98 046403
[6] Kancharla S S, Dagotto E 2007 Phys. Rev. Lett. 98 016402
[7] Greiner M, Mandel O, Esslinger T, Hänsch T W, Bloch I 2002 Nature 415 39
[8] Hubbard J, Torrance J B 1981 Phys. Rev. Lett. 47 1750
[9] Nagaosa N, Takimoto J 1986 J. Phys. Soc. Jpn. 55 2735
[10] Egami T, Ishihara S, Tachiki M 1993 Science 261 1307
[11] Ishihara S, Egami T, Tachiki M 1994 Phys. Rev. B 49 8944
[12] Fabrizio M, Gogolin A O, Nersesyan A A 1999 Phys. Rev. Lett. 83 2014
[13] Fabrizio M, Gogolin A O, Nersesyan A A 2000 Nucl. Phys. B 580 647
[14] Zhang Y Z, Wu C Q, Lin H Q 2003 Phys. Rev. B 67 205109
[15] Kampf A P, Sekania M, Japaridze G I, Brune P 2003 J. Phys.: Condens. Matter 15 5895
[16] Otsuka H, Nakamura M 2005 Phys. Rev. B 71 155105
[17] Torio M E, Aligia A A, Japaridze G I, Normand B 2006 Phys. Rev. B 73 115109
[18] Emery V J 1997 in: Highly Conducting One Dimensional Solids (New York: Plenum) p247
[19] Sòlyom J 1979 Adv. Phys. 28 201
[20] Nakamura M 2000 Phys. Rev. B 61 16377
[21] Sengupta P, Sandvik A W, Campbell D K 2002 Phys. Rev. B 65 155113
[22] Zhang Y Z 2004 Phys. Rev. Lett. 92 246404
[23] Sandvik A W, Balents L, Campbell D K 2004 Phys. Rev. Lett. 92 236401
[24] Glocke S, Klumper A, Sirker J 2007 Phys. Rev. B 76 155121
[25] White S R 1992 Phys. Rev. Lett. 69 2863
[26] White S R 1993 Phys. Rev. B 48 10345
[27] Schollwöck U 2005 Rev. Mod. Phys. 77 259
[28] Resta R, Sorella S 1999 Phys. Rev. Lett. 82 370
[29] Nakamura M, Voit J 2002 Phys. Rev. B 65 153110
[30] Voit J 1995 Rep. Prog. Phys. 58 977
[31] Aligia A A, Ortiz G 1999 Phys. Rev. Lett. 82 2560
[32] Aligia A A, Hallberg K, Batista C D, Ortiz G 2000 Phys. Rev. B 61 7883
[33] Ortiz G, Aligia A A 2000 Phys. Status Solidi B 220 737
[34] Vidal G 2004 Phys. Rev. Lett. 93 040502
[35] White S R, Feiguin A E 2004 Phys. Rev. Lett. 93 076401
[36] Ejima S, Nishimoto S 2007 Phys. Rev. Lett. 99 216403
[37] Torio M E, Aligia A A, Ceccatto H A 2001 Phys. Rev. B 64 121105R
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