Publisher's Note: Cluster dynamical mean field theory study of antiferromagnetic transition in the square-lattice Hubbard model: Optical conductivity and electronic structure [Phys. Rev. B<b>94</b>, 085110 (2016)]

Sato, Toshihiro; Tsunetsugu, Hirokazu

doi:10.1103/physrevb.94.079907

Cited by 6 publications

(7 citation statements)

References 42 publications

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“…Furthermore, we neglect the fermionic frequencies, ǫ m and ǫ m ′ , keeping only the bosonic frequency ω n . This approximation has been adopted in the literature [41,42]. The vertex correction is thus expressed as…”

Section: E Optical Conductivity With Vertex Correctionmentioning

confidence: 99%

Optical response in the excitonic insulating state: Variational cluster approach

Otsuki

Naka

et al. 2020

Phys. Rev. B

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Optical responses in an excitonic insulating (EI) system with strong electron correlation are studied. We adopt the two-orbital Hubbard model with a finite energy difference between the two orbitals where the spin state degree of freedom exists. This model is analyzed by the variational cluster approach. In order to include the local electron correlation effect, the vertex correction is taken into account in the formulation of the optical conductivity spectra. We calculate a finite-temperature phase diagram, in which an EI phase appears between a low-spin band insulating state and a high-spin Mott insulating state. Characteristic components of the optical conductivity spectra consisting of a sharp peak and continuum appear in the EI phase. Integrated intensity almost follows the order parameter of the EI state, suggesting that this component is available to identify the EI phases and transitions.

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Section: E Optical Conductivity With Vertex Correctionmentioning

confidence: 99%

Optical response in the excitonic insulating state: Variational cluster approach

Otsuki

Naka

et al. 2020

Phys. Rev. B

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“…For its treatment, together with the numerical methods -Monte Carlo simulations [1,2,3] and exact diagonalization [4,5,6] -the dynamic mean-field theory (DMFT) [7] and its generalizations are used. Of these generalizations the cellular DMFT [8,9,10], dynamic cluster approximation [8,11,12], dynamic vertex approximation [13,14,15] and dual fermion approach [15,16,17] can be mentioned. Besides, there are several methods, which are not based on the DMFT.…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties and temperature variation of spectra in the Hubbard model

Sherman

2019

Eur. Phys. J. B

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In the two-dimensional fermionic Hubbard model, temperature and concentration dependencies of the uniform magnetic susceptibility and squared site spin, the variation of the double occupancy with the repulsion and the temperature dependence of the spin structure factor are calculated using the strong coupling diagram technique. In these calculations, a correction parameter is introduced into the irreducible vertex to fulfill the Mermin-Wagner theorem and to attain low temperatures. Satisfactory agreement of the obtained results with data of Monte Carlo simulations, numerical linked-cluster expansions and experiments in optical lattices lends support to the validity of such a correction. The ability to attain low temperatures allows us to investigate spectral functions in this region. At half-filling, for small and large Hubbard repulsions no qualitative changes are observed in comparison with somewhat higher temperatures reached in the previous work. However, on cooling, there appears a new feature for moderate repulsions -a narrow band emerges near the Fermi level, which produces a pronounced peak in the density of states. By its location and bandwidth, the feature is identified with the spin-polaron band. PACS. xx.xx.xx xx

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“…The influence of charge and spin fluctuations on spectra of the fermionic Hubbard model has been attracting considerable attention due to the intimate relation of this problem to the momentum dependence of the electron self-energy and possible orderings of carriers. Short-range fluctuations were considered using Monte-Carlo simulations [1,2,3,4,5], cellular dynamic mean-field theory (CDMFT) [6,7,8,9], cluster perturbation theory (CPT) [10,11,12], dynamical cluster approximation (DCA) [6,13,14,15], variation cluster approximation (VCA) [16,17,18,19] and strong coupling diagram technique (SCDT) [20]. More distant fluctuation were taken into account using the dynamic vertex approximation (DΓA) [21,22,23] and dual fermion approach (DF) [23,24,25,26].…”

Section: Introductionmentioning

confidence: 99%

Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model

Sherman

2018

J. Phys.: Condens. Matter

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The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the interaction of electrons with these fluctuations, are summed, and obtained equations are self-consistently solved for the ranges of Hubbard repulsions [Formula: see text], temperatures [Formula: see text] and electron concentrations [Formula: see text] with t the intersite hopping constant. For all considered U the system exhibits a transition to the long-range antiferromagnetic order at [Formula: see text]. At the same time no indication of charge ordering is observed. Obtained solutions agree satisfactorily with results of other approaches and obey moments sum rules. In the considered region of the U-T plane, the curve separating metallic solutions passes from [Formula: see text] at the highest temperatures to U = 2t at [Formula: see text] for half-filling. If only short-range fluctuations are allowed for the remaining part of this region is occupied by insulating solutions. Taking into account long-range fluctuations leads to strengthening of maxima tails, which transform a part of insulating solutions into bad-metal states. For low T, obtained results allow us to trace the gradual transition from the regime of strong correlations with the pronounced four-band structure and well-defined Mott gap for [Formula: see text] to the Slater regime of weak correlations with the spectral intensity having a dip along the boundary of the magnetic Brillouin zone due to an antiferromagnetic ordering for [Formula: see text]. For [Formula: see text] and [Formula: see text] doping leads to the occurrence of a pseudogap near the Fermi level, which is a consequence of the splitting out of a narrow band from a Hubbard subband. Obtained spectra feature waterfalls and Fermi arcs, which are similar to those observed in hole-doped cuprates.

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Publisher's Note: Cluster dynamical mean field theory study of antiferromagnetic transition in the square-lattice Hubbard model: Optical conductivity and electronic structure [Phys. Rev. B94, 085110 (2016)]

Cited by 6 publications

References 42 publications

Optical response in the excitonic insulating state: Variational cluster approach

Optical response in the excitonic insulating state: Variational cluster approach

Magnetic properties and temperature variation of spectra in the Hubbard model

Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model

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