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An intuitive interpretation of the relationship between the dispersion relation of the single-particle excitation in a metal and that of the spin excitation in a Mott insulator is presented, based on the results for the one- and…

Strongly Correlated Electrons · Physics 2014-07-14 Masanori Kohno

In strongly correlated electron systems, the emergence of states in the Mott gap in the single-particle spectrum following the doping of the Mott insulator is a remarkable feature that cannot be explained in a conventional rigid-band…

Strongly Correlated Electrons · Physics 2015-08-20 Masanori Kohno

We study the doping evolution of spin excitations in a 1D Hubbard model and its downfolded spin Hamiltonians, by using exact diagonalization combined with cluster perturbation theory. In all models, we observe hardening (softening) of spin…

Strongly Correlated Electrons · Physics 2019-05-08 Ekaterina M. Pärschke , Yao Wang , Brian Moritz , Thomas P. Devereaux , Cheng-Chien Chen , Krzysztof Wohlfeld

Motivated by the recent atomic-scale scanning tunneling microscope (STM) observation for a spatially localized in-gap state in an electron doped Mott insulator, we evaluate the local electronic state of the Hubbard model on the square…

Strongly Correlated Electrons · Physics 2014-12-10 Weng-Hang Leong , Shun-Li Yu , T. Xiang , Jian-Xin Li

Based on the Hubbard model description of the doped Mott insulator, we prove that there must exist a spinless collective excitation of charge $2e$ and of energy $U-2\mu$ peaked at momentum $(\pi/a,\pi/a)$ in the non-superconducting state…

Strongly Correlated Electrons · Physics 2007-05-23 W. Vincent Liu

We study the effects of doping a Mott insulator on the honeycomb lattice where spins interact via direction dependent Kitaev couplings J_K, and weak antiferromagnetic Heisenberg couplings J. This model is known to have a spin liquid ground…

Strongly Correlated Electrons · Physics 2012-08-30 Yi-Zhuang You , Itamar Kimchi , Ashvin Vishwanath

The doped Mott insulator in one dimension has been studied based on the phase Hamiltonian with the Umklapp scattering process, in which the charge degree of freedom is described by the quantum sine-Gordon model. The well-known equivalence…

Condensed Matter · Physics 2009-10-28 Michiyasu Mori , Hidetoshi Fukuyama

We study spin and charge dynamics of stripes in doped Mott insulators by considering a two-dimensional Hubbard model with N fermion flavors. For N =2 we recover the normal one-band model while for N -> infty a spin density wave mean-field…

Strongly Correlated Electrons · Physics 2009-11-07 F. F. Assaad , V. Rousseau , F. Hebert , M. Feldbacher , G. G. Batrouni

We show that effectively cold metastable states in one-dimensional photo-doped Mott insulators described by the extended Hubbard model exhibit spin, charge and $\eta$-spin separation. Namely, their wave functions in the large on-site…

Strongly Correlated Electrons · Physics 2023-03-14 Yuta Murakami , Shintaro Takayoshi , Tatsuya Kaneko , Andreas M. Läuchli , Philipp Werner

We address the role played by charged defects in doped Mott insulators with active orbital degrees of freedom. It is observed that defects feature a rather complex and rich physics, which is well captured by a degenerate Hubbard model…

Strongly Correlated Electrons · Physics 2018-04-09 Adolfo Avella , Peter Horsch , Andrzej M. Oleś

Unravelling the nature of doping-induced transition between a Mott insulator and a weakly correlated metal is crucial to understanding novel emergent phases in strongly correlated materials. For this purpose, we study the evolution of…

Strongly Correlated Electrons · Physics 2018-03-14 Yao Wang , Brian Moritz , Cheng-Chien Chen , Thomas P. Devereaux , Krzysztof Wohlfeld

Predictions are made for the momentum- and carrier-dependent degradation of the Mott gap upon doping in high-Tc cuprates as would be observed in Cu K-edge resonant inelastic x-ray scattering (RIXS). The two-dimensional Hubbard model with…

Strongly Correlated Electrons · Physics 2009-11-10 K. Tsutsui , T. Tohyama , S. Maekawa

Since the discovery of half-filled cuprate to be a Mott insulator, the excitation spectra above the chemical potential for the unoccupied states has attracted many research attentions. There were many theoretical works using different…

Superconductivity · Physics 2017-01-25 Huan-Kuang Wu , Ting-Kuo Lee

We elucidate the effects of defect disorder and $e$-$e$ interaction on the spectral density of the defect states emerging in the Mott-Hubbard gap of doped transition-metal oxides, such as Y$_{1-x}$Ca$_{x}$VO$_{3}$. A soft gap of kinetic…

Strongly Correlated Electrons · Physics 2015-11-12 Adolfo Avella , Andrzej M. Oleś , Peter Horsch

Electronic band structures usually remain unaffected by doping via a chemical-potential shift or by increasing the temperature in conventional band insulators. In contrast, it has been shown that those of Mott and Kondo insulators can be…

Strongly Correlated Electrons · Physics 2025-12-05 Masanori Kohno

We study the evolution of a Mott-Hubbard insulator into a correlated metal upon doping in the two-dimensional Hubbard model using the Cellular Dynamical Mean Field Theory. Short-range spin correlations create two additional bands apart from…

Strongly Correlated Electrons · Physics 2016-08-16 B. Kyung , S. S. Kancharla , D. Sénéchal , A. -M. S. Tremblay , M. Civelli , G. Kotliar

The emergence of quasiparticles in quantum many-body systems underlies the rich phenomenology in many strongly interacting materials. In the context of doped Mott insulators, magnetic polarons are quasiparticles that usually arise from an…

Quantum Gases · Physics 2025-02-12 Max L. Prichard , Benjamin M. Spar , Ivan Morera , Eugene Demler , Zoe Z. Yan , Waseem S. Bakr

The microscopic modeling of spin-orbit entangled $j=1/2$ Mott insulators such as the layered hexagonal Iridates Na$_2$IrO$_3$ and Li$_2$IrO$_3$ has spurred an interest in the physics of Heisenberg-Kitaev models. Here we explore the effect…

Strongly Correlated Electrons · Physics 2014-07-15 Eran Sela , Hong-Chen Jiang , Max H. Gerlach , Simon Trebst

We investigate the spectral properties of doped one-dimensional excitonic insulators. Employing matrix-product-state-based methods, we compute the single-particle spectrum and optical conductivity in a correlated two-band model. Our…

Strongly Correlated Electrons · Physics 2026-04-17 Tatsuya Kaneko , Ryota Ueda , Satoshi Ejima

Recent excperiments (ARPES, Raman) suggest the presence of two distinct energy gaps in high-Tc superconductors (HTSC), exhibiting different doping dependences. Results of a variational cluster approach to the superconducting state of the…

Strongly Correlated Electrons · Physics 2007-12-19 M. Aichhorn , E. Arrigoni , Z. B. Huang , W. Hanke
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