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Zhou, Sen1,2; Liang, Long3; Wang, Ziqiang4
Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-z limit
Source PublicationPHYSICAL REVIEW B
Language英语
KeywordVALENCE-BOND STATE SPIN-LIQUID STATE INSULATOR CHARGE ARRAYS APPROXIMATION EXCITATIONS FERMIONS SYSTEMS PHYSICS
AbstractThe 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.
2020
ISSN2469-9950
Volume101Issue:3Pages:35106
Cooperation Status国际
Subject AreaMaterials Science ; Physics
MOST Discipline CatalogueMaterials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
DOI10.1103/PhysRevB.101.035106
Indexed BySCIE
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/26960
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100049, Peoples R China
4.Aalto Univ, COMP Ctr Excellence, Dept Appl Phys, Sch Sci, FI-00076 Aalto, Finland
5.Boston Coll, Dept Phys, Chestnut Hill, MA 02467 USA
Recommended Citation
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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