三分之一填充下的一维t-U-V-J模型的量子相图(英文)Quantum Phase Diagram of the Third-filled t-U-V-J Model in One Dimension
伊尔夏提·阿斯哈尔;丁汉芹;张军;
摘要(Abstract):
我们在弱耦合区域研究了一维电子体系,其中电子浓度为三分之一,相互作用包括电子的在位作用、最近邻库仑作用和自旋交换作用.玻色化方法和重整化分析预测了量子相变的发生.通过计算关联函数我们确定了量子相态.基态相图由电荷密度波、自旋密度波、三重超导态和单重超导态组成.研究结果对一维扩展赫伯德模型有着更进一步的理解.
关键词(KeyWords): t-U-V-J模型;相图;弱耦合;玻色化
基金项目(Foundation): supported by NSFC Project(11265015;11365021;11564038)
作者(Authors): 伊尔夏提·阿斯哈尔;丁汉芹;张军;
DOI: 10.13568/j.cnki.651094.2016.03.010
参考文献(References):
- [1]Solyom J.The Fermi gas model of one-dimensional conductors[J].Adv Phys,1979,28:201-303.
- [2]Emery V J.Highly Conducting One-Dimensional Solids[M].New York:Plenum,1979.
- [3]Ishiguro T,Yamaji K,Saito D.Organic superconductors[M].Berlin:Springer,1992.
- [4]Keiss H G.Conjugated conducting polymer[M].Berlin:Springer,1992.
- [5]Hubbard J.Electron correlation in narrow energy bands[J].Proc R Soc.1963,276:238-255.
- [6]Cannon J W,Fradkin E.Phase diagram of the extended Hubbard model in one spatial[J].Phys Rev B,1990,41:9435-9443.
- [7]Cannon J W R.Scalettar R T,Fradkin E.Ground-state phase diagram of the one-dimensional extended Hubbard model[J].Phys Rev B,1991,44:5955-6001.
- [8]Voit J.Phase diagram and correlation functions of the half-filled extended Hubbard model in one dimension[J].Phys Rev B,1992,45:4027-4042.
- [9]Nakamura M.Triplet behavior in the extended Hubbard chain[J].Phys Rev B,2000,61:16377-16392.
- [10]Tsuchiizu M,Furusaki A.Phase diagram of the one-dimensional extended Hubbard model at half filling[J].Phys Rev Lett,2002,88:056402.
- [11]Sengupta P,Sandvik A W,Campbell D K.Bond-order-wave phase and quantum transitions in the one-dimensional Hubard model[J].Phys Rev B,2002,65:155113.
- [12]Jeckelmann E.Ground-state diagram of a half-filled one-dimensional extended Hubbard model[J].Phys Rev Lett,2002,89:236401.
- [13]Sandvik A W,Balents L,Campbell D K.Ground state phases of the half-filled extended Hubbard model[J].Phys Rev Lett,2004,92:236401.
- [14]Zhang G P.Accurate ground-state phase diagram of the one-dimensional extended Hubbard model at half filling[J].Phys Rev B,2003,56:153101.
- [15]Zhang Y Z.Dimerization in a half-filled one-dimensional extended Hubbard model[J].Phys Rev Lett,2004,92:246404.
- [16]Tam K M,Tsai S W,Campbell D K.Functional renormalization group analysis of the half-filled one-dimensional extended Hubbard model[J].Phys Rev Lett,2006,96:036408.
- [17]Kumar M,Ramasesha S,Soos Z G.Tuning the bond-order wave phase in the half-filled extended Hubbard model[J].Phys Rev B,2009,79:035102.
- [18]Dagotto E,Riera J,Scalapino D J.Superconductivity in ladders and coupled planes[J].Phys Rev B,1992,45:5744-5747.
- [19]Rice T M,Troyer M,Tsunetsugu H.Dynamical correlation functions of one-dimensional superconductors[J].J Phys Chem Solids,1995,56:1663-1668.
- [20]Arita R,Kuroki R K H,Aoki H,et al.Density-matrix renormalization-group study of the spin gap in a one-dimensional Hubbard model:Effect of the distant transfer and exchange coupling[J].Phys Rev B,1998,57:10324-10327.
- [21]Dual S,Scalapino D J,White S R.Pairing correlations on t-U-J ladders[J].Phys Rev Lett,2000,84:4188-4191.
- [22]Maeno Y,Hashimoto H,Yoshida K,et al.Superconductivity in a layered perovskite without copper[J].Nature,1994,372:532-534.
- [23]Japaridze G I,M¨uller-Hartmann E.Triplet superconductivity in a one-dimensional ferromagnetic t-J model[J].Phys Rev B,2000,61:9019-9027.
- [24]Dai J H,Feng X Y,Xiang T,et al.Gapped spin-liquid states in a one-dimensional Hubbard model with antiferromagnetic exchange interaction[J].Phys Rev B,2004,70:064518.
- [25]Huang X X,Pan Z Q,Xu Z X.et al.Evolution of bond-order-wave phases in one-dimensional Mott insulators[J].Commun Theor Phys,2006,46:923-928.
- [26]Ding H Q,Wang Y S.Bond-located phases driven by exchange interaction in the one-dimensional t-U-V-J model[J].Phys Lett A,2011,375:1751-1755.
- [27]Gogolin A O,Nersesyan A A,Tsvelik A M.Bosonization and Strongly Correlated Systems[M].New York:Cambridge,1998.
- [28]Japaridze G I,Hayn R,Lombardo,et al.Band-insulator-metal-Mott-insulator transition in the half-filled t-t ionic Hubbard chain[J].Phys Rev B,2007,75:245122.
- [29]Ding H Q,Zhang J.Triplet superconductivity in the one-dimensional Hubbard model with modulated kinetic hopping at weak coupling[J].J Phys Soc Jpn,2015,84:124703.
- [30]Aligia A A,Arrachea L.Triplet superconductivity in quasi-one-dimensional systems[J].Phys Rev B,1999,60:15332.