Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-z limit
文献类型：期刊论文
| 作者 | Zhou, Sen4,5 ; Liang, Long3; Wang, Ziqiang1
|
| 刊名 | PHYSICAL REVIEW B
 |
| 出版日期 | 2020 |
| 卷号 | 101期号:3页码:35106 |
| ISSN号 | 2469-9950 |
| 关键词 | VALENCE-BOND STATE SPIN-LIQUID STATE INSULATOR CHARGE ARRAYS APPROXIMATION EXCITATIONS FERMIONS SYSTEMS PHYSICS |
| DOI | 10.1103/PhysRevB.101.035106 |
| 英文摘要 | The Mott metal-insulator transition in the Hubbard model is studied by constructing a dynamical slave-boson mean-field theory in the limit of large lattice coordination number z that incorporates the binding between doubly occupied (doublon) and empty (holon) sites. On the Mott insulating side where all doublons and holons bond in real space into excitonic pairs leading to the charge gap, the theory simplifies considerably to leading order in 1/root z and becomes exact on the infinite-z Bethe lattice. An asymptotic solution is obtained for a continuous Mott transition associated with the closing of the charge gap at a critical value of the Hubbard U-c and the corresponding doublon density n(d)(c), hopping chi(c)(d) and doublon-holon pairing Delta(c)(d) amplitudes. We find U-c = U-BR [1 - 2n(d)(c) - root z(chi(c)(d) + Delta(c)(d))] similar or equal to 0.8U(BR) , where U-BR is the critical value for the Brinkman-Rice transition in the Gutzwiller approximation captured in the static mean-field solution of the slave-boson formulation of Kotliar and Ruckenstein. Thus, the Mott transition can be viewed as the quantum correction to the Brinkman-Rice transition due to doublon-holon binding. Quantitative comparisons are made to the results of the dynamical mean-field theory, showing good agreement. In the absence of magnetic order, the Mott insulator is a U (1) quantum spin liquid with nonzero intersite spinon hopping that survives the large-z limit and lifts the 2(N) -fold degeneracy of the local moments. We show that the spinons are coupled to the doublons/holons by a dissipative compact U(1) gauge field in the deconfined phase, realizing the spin-charge separated gapless spin liquid Mott insulator. |
| 学科主题 | Materials Science ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/26960]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Aalto Univ, COMP Ctr Excellence, Dept Appl Phys, Sch Sci, FI-00076 Aalto, Finland 2.Boston Coll, Dept Phys, Chestnut Hill, MA 02467 USA 3.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Sen,Liang, Long,Wang, Ziqiang. Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-z limit[J]. PHYSICAL REVIEW B,2020,101(3):35106. |
| APA | Zhou, Sen,Liang, Long,&Wang, Ziqiang.(2020).Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-z limit.PHYSICAL REVIEW B,101(3),35106. |
| MLA | Zhou, Sen,et al."Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-z limit".PHYSICAL REVIEW B 101.3(2020):35106. |
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来源：理论物理研究所
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