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t-J模型是研究高温超导电性的重要理论模型之一. 最近的冷分子实验表明可用极性分子模拟t-J模型. 实验模拟的t-J模型除了引进长程的偶极相互作用外, 还引进了密度-自旋相互作用. 本文使用密度矩阵重整化群方法研究了密度-自旋相互作用对一维t-J 模型基态性质的影响. 选取了t-J模型基态相图中不同相区的三个点, 计算了不同密度-自旋相互作用强度下的粒子数和自旋的实空间分布,以及密度-密度关联函数和自旋-自旋关联函数与相应的结构因子. 计算结果表明, 密度-自旋相互作用强度较弱时, 对系统的性质不会产生定性影响；当其强度足够大时, 系统会进入相分离, 该相分离与传统t-J模型的相分离有很大区别.t-J model is one of important theoretical models in the study of high temperature superconductivity. Recent cold molecule experiments indicate that t-J model can be simulated by ultracold polar molecules. In the simulated t-J model, besides long-range dipolar interaction, density-spin interaction has also been introduced. In the present we study the effect of density-spin interaction in the one-dimensional extended t-J model by using the density matrix renormalization group method. We choose three sets of representative parameters, which correspond to three different phases in the ground state phase diagram of t-J model, to calculate the charge and spin density distribution in real space and the structure factor of density-density and spin-spin correlation functions. The results indicate that the nature of the system will not change if the intensity of the density-spin interaction is small, however if the intensity is large enough, the system enters the phase separation, in which the character is quiet different form that of the phase separation in the traditional t-J model.
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Keywords:
- t-J model /
- density matrix renormalization group /
- density-spin correlation /
- phase separation
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[12] Gorshkov A V, Manmana S R, Chen G, Ye J, Demler E, Lukin M D, Rey A M 2011 Phys. Rev. Lett. 107 115301
[13] Cheng C, Mao B B, Chen F Z, Luo H G 2015 Europhys. Lett. 110 37002
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[15] Dagotto E, Riera J 1992 Phys. Rev. B 46 18
[16] Kivelson S A, Emery V J, Lin H Q 1990 Phys. Rev. B 42 10
[17] Assaad F F, Wrtz D 1991 Phys. Rev. B 44 6
[18] Bariev R Z 1993 Phys. Rev. B 49 2
[19] Saiga Y, Kato Y, Kuramoto Y 1996 J. Phys. Soc. Jpn. 65 8
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[21] Bares P A and Blatter G 1991 Phys. Rev. B 44 130
[22] White S R 1992 Phys. Rev. Lett. 69 2863
[23] White S R 1993 Phys. Rev. B 48 10345
[24] Wilson K G 1975 Rev. Mod. Phys. 47 773
[25] White S R 1993 Phys. Rev. B 48 3844
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[1] Anderson P W 1990 Phys. Rev. Lett. 64 1839
[2] Ogata M, Fukuyama H 2008 Rep. Prog. Phys. 71 036501
[3] Ogata M, Luchini M U, Sorella S, Assaad F F 1991 Phys. Rev. Lett. 66 18
[4] Hellberg C S, Mele E J 1993 Phys. Rev. B 48 1
[5] Nakamura M, Nomura K, Kitazawa A 1997 Phys. Rev. Lett. 79 17
[6] Nakamura M, Kitazawa A, Nomura K 1999 Phys. Rev. B 60 11
[7] Moreno A, Muramatsu A, Manmana S R 2011 Phys. Rev. B 83 205113
[8] Ni K K, Ospelkaus S, de Miranda M H G, Péer A, Neyenhuis B, Zirbel J J, Kotochigova S, Julienne P S, Jin D S, Ye J 2008 Science 322 231
[9] Aikawa K, Akamatsu D, Hayashi M, Oasa K, Kobayashi J, Naidon P, Kishimoto T, Ueda M, Inouye S 2010 Phys. Rev. Lett. 105 203001
[10] Deiglmayr J, Grochola A, Repp, Mörtlbauer K, Glck C, Lange J, Dulieu O, Wester R, Weidemller M 2008 Phys. Rev. Lett. 101 133004
[11] Gorshkov A V, Manmana S R, Chen G, Demler E, Lukin M D, Rey A 2011 Phys. Rev. A 84 033619
[12] Gorshkov A V, Manmana S R, Chen G, Ye J, Demler E, Lukin M D, Rey A M 2011 Phys. Rev. Lett. 107 115301
[13] Cheng C, Mao B B, Chen F Z, Luo H G 2015 Europhys. Lett. 110 37002
[14] Troyer M, Tsunetsugu H, Rice T M, Riera J, Dagotto E 1993 Phys. Rev. B 48 6
[15] Dagotto E, Riera J 1992 Phys. Rev. B 46 18
[16] Kivelson S A, Emery V J, Lin H Q 1990 Phys. Rev. B 42 10
[17] Assaad F F, Wrtz D 1991 Phys. Rev. B 44 6
[18] Bariev R Z 1993 Phys. Rev. B 49 2
[19] Saiga Y, Kato Y, Kuramoto Y 1996 J. Phys. Soc. Jpn. 65 8
[20] Bares P A and Blatter G 1990 Phys. Rev. Lett. 64 2567
[21] Bares P A and Blatter G 1991 Phys. Rev. B 44 130
[22] White S R 1992 Phys. Rev. Lett. 69 2863
[23] White S R 1993 Phys. Rev. B 48 10345
[24] Wilson K G 1975 Rev. Mod. Phys. 47 773
[25] White S R 1993 Phys. Rev. B 48 3844
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