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Charge dynamics of the antiferromagnetically ordered Mott insulator
Han, XJ; Liu, Y; Liu, ZY; Li, X; Chen, J; Liao, HJ; Xie, ZY; Normand, B; Xiang, T; Xiang, T (reprint author), Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.; Xiang, T (reprint author), Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China.
2016
发表期刊NEW JOURNAL OF PHYSICS
卷号18页码:103004
文章类型Article
摘要We introduce a slave-fermion formulation in which to study the charge dynamics of the half-filled Hubbard model on the square lattice. In this description, the charge degrees of freedom are represented by fermionic holons and doublons and the Mott-insulating characteristics of the ground state are the consequence of holon-doublon bound-state formation. The bosonic spin degrees of freedom are described by the antiferromagnetic Heisenberg model, yielding long-ranged (Neel) magnetic order at zero temperature. Within this framework and in the self-consistent Born approximation, we perform systematic calculations of the average double occupancy, the electronic density of states, the spectral function and the optical conductivity. Qualitatively, our method reproduces the lower and upper Hubbard bands, the spectral-weight transfer into a coherent quasiparticle band at their lower edges and the renormalisation of the Mott gap, which is associated with holon-doublon binding, due to the interactions of both quasiparticle species with the magnons. The zeros of the Green function at the chemical potential give the Luttinger volume, the poles of the self-energy reflect the underlying quasiparticle dispersion with a spin-renormalised hopping parameter and the optical gap is directly related to the Mott gap. Quantitatively, the square-lattice Hubbard model is one of the best-characterised problems in correlated condensed matter and many numerical calculations, all with different strengths and weaknesses, exist with which to benchmark our approach. From the semi-quantitative accuracy of our results for all but the weakest interaction strengths, we conclude that a self-consistent treatment of the spin-fluctuation effects on the charge degrees of freedom captures all the essential physics of the antiferromagnetic Mott-Hubbard insulator. We remark in addition that an analytical approximation with these properties serves a vital function in developing a full understanding of the fundamental physics of the Mott state, both in the antiferromagnetic insulator and at finite temperatures and dopings.
关键词Hubbard Model Mott Insulator Holon-doublon Binding Spin Fluctuations
学科领域Physics
资助者National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP
DOIhttp://dx.doi.org/10.1088/1367-2630/18/10/103004
关键词[WOS]2-DIMENSIONAL HUBBARD-MODEL ; NARROW ENERGY-BANDS ; MEAN-FIELD-THEORY ; SPECTRAL WEIGHT FUNCTION ; T-J MODEL ; ELECTRON CORRELATIONS ; QUANTUM ANTIFERROMAGNET ; ANDERSON MODEL ; SPIN POLARONS ; FERMI-SURFACE
收录类别SCI
语种英语
资助者National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Natural Science Foundation of China [10934008, 10874215, 11174365] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; National Basic Research Program of China [2012CB921704, 2011CB309703] ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; National High Technology Research and Development Program of China [2015AA01A304] ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP ; Foundation of LCP
WOS类目Physics, Multidisciplinary
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21510
专题理论物理所SCI论文
通讯作者Xiang, T (reprint author), Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.; Xiang, T (reprint author), Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China.
推荐引用方式
GB/T 7714
Han, XJ,Liu, Y,Liu, ZY,et al. Charge dynamics of the antiferromagnetically ordered Mott insulator[J]. NEW JOURNAL OF PHYSICS,2016,18:103004.
APA Han, XJ.,Liu, Y.,Liu, ZY.,Li, X.,Chen, J.,...&Xiang, T .(2016).Charge dynamics of the antiferromagnetically ordered Mott insulator.NEW JOURNAL OF PHYSICS,18,103004.
MLA Han, XJ,et al."Charge dynamics of the antiferromagnetically ordered Mott insulator".NEW JOURNAL OF PHYSICS 18(2016):103004.
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