|
|
Applied Physics 2026
受控跃迁下的一维扩展Hubbard模型的基态相图
|
Abstract:
我们通过引入调制参数ξ,在弱耦合区域研究了由受控跃迁、在位作用U和最近邻库仑作用V描述的一维关联电子体系。研究表明,诱导产生的三体吸引作用改变了标准Hubbard模型的相图。在半满情况下,除了熟悉的电荷密度波(CDW)和自旋密度波(SDW),基态相图中
区域还存在一个键序自旋密度波(BSDW)。当最近邻库仑作用V消失时,体系中存在绝缘体–金属相变。在
区域,存在三重超导(TS)序Luttinger金属相。我们也从有效相互作用角度讨论了包含超导(TS, SS)的一般量子相图。
By introducing a modulation parameter ξ, we study the one-dimensional correlated system with modified hopping, on-site U and nearest-neighbor V repulsion in the weak-coupling regime. The induced three-body attraction changes the phase diagram of the standard Hubbard model. Besides the usual charge-density-wave (CDW) and spin-density-wave (SDW), a bond-spin-density-wave (BSDW) phase exists for
at half filling. In the absence of the nearest neighbor Coulomb interaction V, an insulator-metal transition takes place. A Luttinger metallic phase with the triplet superconducting (TS) correlations is realized for
. Effectively, a general quantum phase diagram including superconductivity (TS, SS) is also discussed.
| [1] | Kiess, H.G. (1992) Conjugated Conducting Polyers. Springer-Verlag. |
| [2] | Kim, Y., Hill, J.P., Benthien, H., Essler, F.H.L., Jeckelmann, E., Choi, H.S., et al. (2004) Resonant Inelastic X-Ray Scattering of the Holon-Antiholon Continuum Insrcuo2. Physical Review Letters, 92, Article ID: 137402. https://doi.org/10.1103/physrevlett.92.137402 |
| [3] | Benthien, H., Gebhard, F. and Jeckelmann, E. (2004) Spectral Function of the One-Dimensional Hubbard Model Away from Half Filling. Physical Review Letters, 92, Article ID: 256401. https://doi.org/10.1103/physrevlett.92.256401 |
| [4] | Emery, V.J. (1979) Theory of the One-Dimensional Electron Gas. In: de Vreese, J.T., Ed., Highly Conducting One-Dimensional Solids, Plenum, 247-304. https://doi.org/10.1007/978-1-4613-2895-7_6 |
| [5] | Sólyom, J. (1979) The Fermi Gas Model of One-Dimensional Conductors. Advances in Physics, 28, 201-303. https://doi.org/10.1080/00018737900101375 |
| [6] | Hirsch, J.E. (1984) Charge-Density-Wave to Spin-Density-Wave Transition in the Extended Hubbard Model. Physical Review Letters, 53, 2327-2330. https://doi.org/10.1103/physrevlett.53.2327 |
| [7] | Cannon, J.W. and Fradkin, E. (1990) Phase Diagram of the Extended Hubbard Model in One Spatial Dimension. Physical Review B, 41, 9435-9443. https://doi.org/10.1103/physrevb.41.9435 |
| [8] | Cannon, J.W., Scalettar, R.T. and Fradkin, E. (1991) Ground-State Phase Diagram of the One-Dimensional Extended Hubbard Model. Physical Review B, 44, 5995-6001. https://doi.org/10.1103/physrevb.44.5995 |
| [9] | Zhang, G.P. (1997) Ground-state Phase Diagram of the One-Dimensional Extended Hubbard Model: A Density-Matrix Renormalization-Group Approach. Physical Review B, 56, 9189-9192. https://doi.org/10.1103/physrevb.56.9189 |
| [10] | Voit, J. (1992) Phase Diagram and Correlation Functions of the Half-Filled Extended Hubbard Model in One Dimension. Physical Review B, 45, 4027-4042. https://doi.org/10.1103/physrevb.45.4027 |
| [11] | Van Dongen, P.G.J. (1994) Extended Hubbard Model at Strong Coupling. Physical Review B, 49, 7904-7915. https://doi.org/10.1103/physrevb.49.7904 |
| [12] | Nakamura, M. (2000) Tricritical Behavior in the Extended Hubbard Chains. Physical Review B, 61, 16377-16392. https://doi.org/10.1103/physrevb.61.16377 |
| [13] | Tsuchiizu, M. and Furusaki, A. (2002) Phase Diagram of the One-Dimensional Extended Hubbard Model at Half Filling. Physical Review Letters, 88, Article ID: 056402. https://doi.org/10.1103/physrevlett.88.056402 |
| [14] | Sengupta, P., Sandvik, A.W. and Campbell, D.K. (2002) Bond-Order-Wave Phase and Quantum Phase Transitions in the One-Dimensional Extended Hubbard Model. Physical Review B, 65, Article ID: 155113. https://doi.org/10.1103/physrevb.65.155113 |
| [15] | Sandvik, A.W., Sengupta, P. and Campbell, D.K. (2003) Comment on “Ground-State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model”. Physical Review Letters, 91, Article ID: 089701. https://doi.org/10.1103/physrevlett.91.089701 |
| [16] | Sandvik, A.W., Balents, L. and Campbell, D.K. (2004) Ground State Phases of the Half-Filled One-Dimensional Extended Hubbard Model. Physical Review Letters, 92, Article ID: 236401. https://doi.org/10.1103/physrevlett.92.236401 |
| [17] | Jeckelmann, E. (2002) Ground-State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model. Physical Review Letters, 89, Article ID: 236401. https://doi.org/10.1103/physrevlett.89.236401 |
| [18] | Zhang, G.P. (2003) Accurate Ground-State Phase Diagram of the One-Dimensional Extended Hubbard Model at Half Filling. Physical Review B, 68, Article ID: 153101. https://doi.org/10.1103/PhysRevB.68.153101 |
| [19] | Zhang, Y.Z. (2004) Dimerization in a Half-Filled One-Dimensional Extended Hubbard Model. Physical Review Letters, 92, Article ID: 246404. https://doi.org/10.1103/physrevlett.92.246404 |
| [20] | Japaridze, G.I. and Sarkar, S. (2002) Phase Diagram of the Extended Hubbard Model with Pair Hopping Interaction. The European Physical Journal B, 28, 139-144. https://doi.org/10.1140/epjb/e2002-00212-0 |
| [21] | Huang, X.X., Quan, P.E., Xu, Z.X., Dai, J.H. and Ying, H.P. (2006) Evolution of Bond-Order-Wave Phase in One-Dimensional Mott Insulators. Communications in Theoretical Physics, 46, 923-928. https://doi.org/10.1088/0253-6102/46/5/032 |
| [22] | Gogolin, A.O., Nersesyan, A.A. and Tsvelik, A.M. (1998) Bosonization and Strongly Correlated Systems. Cambridge University Press. |
| [23] | Japaridze, G.I. (1995) Bond-Located Antiferromagnetism in a One-Dimensional Electron System. Physics Letters A, 201, 239-246. https://doi.org/10.1016/0375-9601(95)00216-p |
| [24] | Ding, H. and Wang, Y. (2011) Bond-Located Phases Driven by Exchange Interaction in the One-Dimensional T-U-V-J Model. Physics Letters A, 375, 1751-1755. https://doi.org/10.1016/j.physleta.2011.02.025 |
| [25] | Japaridze, G.I. and Kampf, A.P. (1999) Weak-Coupling Phase Diagram of the Extended Hubbard Model with Correlated-Hopping Interaction. Physical Review B, 59, 12822-12829. https://doi.org/10.1103/physrevb.59.12822 |
| [26] | Aligia, A.A. and Arrachea, L. (1999) Triplet Superconductivity in Quasi-One-Dimensional Systems. Physical Review B, 60, 15332-15338. https://doi.org/10.1103/physrevb.60.15332 |
| [27] | Japaridze, G.I. and Müller-Hartmann, E. (2000) Triplet Superconductivity in a One-Dimensional Ferromagnetic t-J Model. Physical Review B, 61, 9019-9027. https://doi.org/10.1103/physrevb.61.9019 |
| [28] | Ding, H. and Zhang, J. (2014) Modulating Effect of Pair-Hopping and Spin Exchange Interactions on a Half-Filled Generalized U-V Chain. Modern Physics Letters B, 28, Article ID: 1450042. https://doi.org/10.1142/s0217984914500420 |
| [29] | Nersesyan, A.A. (1991) Orbital Antiferromagnetic Ordering in a Two-Chain Model of Interacting Fermions. Physics Letters A, 153, 49-54. https://doi.org/10.1016/0375-9601(91)90360-k |
| [30] | Aligia, A.A., Gagliano, E., Arrachea, L. and Hallberg, K. (1998) Superconductivity with S and P Symmetries in an Extended Hubbard Model with Correlated Hopping. The European Physical Journal B, 5, 371-378. https://doi.org/10.1007/s100510050456 |
| [31] | Aligia, A.A., Arrachea, L. and Gagliano, E.R. (1995) Phase Diagram of an Extended Hubbard Model with Correlated Hopping at Half Filling. Physical Review B, 51, 13774-13777. https://doi.org/10.1103/physrevb.51.13774 |
| [32] | Gagliano, E.R., Aligia, A.A., Arrachea, L. and Avignon, M. (1995) Single-Particle Spectral Function of a Generalized Hubbard Model: Metal-Insulator Transition. Physical Review B, 51, 14012-14019. https://doi.org/10.1103/physrevb.51.14012 |
| [33] | Arrachea, L., Aligia, A.A., Gagliano, E., Hallberg, K. and Balseiro, C. (1994) Superconducting Correlations in Hubbard Chains with Correlated Hopping. Physical Review B, 50, 16044-16051. https://doi.org/10.1103/physrevb.50.16044 |
| [34] | Buzatu, F.D. (1995) One-Dimensional (t,U,X) Model: Ground-State Phase Diagram in a Mean-Field-Type Approximation. Physical Review B, 49, Article 10176. https://doi.org/10.1103/PhysRevB.49.10176 |
| [35] | Dobry, A.O. and Aligia, A.A. (2011) Quantum Phase Diagram of the Half-Filled Hubbard Model with Bond-Charge Interaction. Nuclear Physics B, 843, 767-783. https://doi.org/10.1016/j.nuclphysb.2010.10.017 |