Optical Conductivity of the Two-Dimensional Hubbard Model

Nakano, Hiroki; Imada, Masatoshi

doi:10.1143/jpsj.68.1458

Cited by 19 publications

(26 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…< ! c are observed in the optical conductivity; this behavior has already been reported in all the previous works [2][3][4] and will be confirmed later in the present study. Then, we will later come back to these values of N eff at half filling in the discussion of the Drude weight.…”

Section: Results For Interacting Case and Discussionsupporting

confidence: 92%

“…In view of this situation, effects of other types of boundary conditions, namely the antiperiodic boundary condition and the mixed boundary condition, were studied in ref. 3 to see whether one can reduce the finite-size effects for the fixed N s or not. Consequently, the wrong negative large Drude weights were successfully resolved.…”

Section: Finite-size Effect For U ¼ 0 and Boundary Conditionmentioning

confidence: 99%

See 1 more Smart Citation

Drude Weight of the Two-Dimensional Hubbard Model –Reexamination of Finite-Size Effect in Exact Diagonalization Study–

2007

Self Cite

View full text Add to dashboard Cite

The Drude weight of the Hubbard model on the two-dimensional square lattice is studied by the exact diagonalizations applied to clusters up to 20 sites. We carefully examine finite-size effects by consideration of the appropriate shapes of clusters and the appropriate boundary condition beyond the limitation of employing only the simple periodic boundary condition. We successfully capture the behavior of the Drude weight that is proportional to the squared hole doping concentration. Our present result gives a consistent understanding of the transition between the Mott insulator and doped metals. We also find, in the frequency dependence of the optical conductivity, that the mid-gap incoherent part emerges more quickly than the coherent part and rather insensitive to the doping concentration in accordance with the scaling of the Drude weight.

show abstract

Section: Results For Interacting Case and Discussionsupporting

confidence: 92%

Section: Finite-size Effect For U ¼ 0 and Boundary Conditionmentioning

confidence: 99%

Drude Weight of the Two-Dimensional Hubbard Model –Reexamination of Finite-Size Effect in Exact Diagonalization Study–

2007

Self Cite

View full text Add to dashboard Cite

show abstract

“…Among them, the numerical diagonalization technique based on the Lanczos algorithms has been intensively used for the investigation of the rapid spectral weight transfer seen in σ(ω) and other quantities. 5,6,7,8,9 The doping dependence of σ(ω) for a 4 × 4 cluster under periodic boundary conditions has clearly shown the reconstruction of the weight. 5 However, the cluster significantly suffers from the finite-size effect.…”

Section: Introductionmentioning

confidence: 95%

“…On the other hand, the results for a 4 × 4 cluster with mixed boundary conditions 6 showed a decrease of the in-gap weight with decreasing n. This contradictory behavior in the two 4 × 4 clusters seems to come from the finite-size effect that is enhanced in the case of 14 electrons in the clusters. In our √ 18 × √ 18 and √ 20 × √ 20 clusters, however, the doping dependence of the in-gap weight near half-filling shows the same tendency and is consistent with the experimental data.…”

mentioning

confidence: 91%

Exact diagonalization study of optical conductivity in the two-dimensional Hubbard model

et al. 2005

View full text Add to dashboard Cite

The optical conductivity σ(ω) in the two-dimensional Hubbard model is examined by applying the exact diagonalization technique to small square clusters with periodic boundary conditions up to √ 20 × √ 20 sites. Spectral-weight distributions at half filling and their doping dependence in the 20-site cluster are found to be similar to those in a √ 18× √ 18 cluster, but different from 4×4 results. The results for the 20-site cluster enable us to perform a systematic study of the doping dependence of the spectral-weight transfer from the region of the Mott-gap excitation to lower-energy regions. We discuss the dependence of the Drude weight and the effective carrier number on the electron density at a large on-site Coulomb interaction.

show abstract

“…[10][11][12][13][14] By contrast, the photodoping effect on optical responses in Mott insulators has not been studied so intensively. 15 Thus there remain several points unsolved.…”

mentioning

confidence: 99%

Photoinduced Metallic Properties of One-Dimensional Strongly Correlated Electron Systems

Maeshima

Yonemitsu

2005

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

We study photoinduced optical responses of one-dimensional strongly correlated electron systems. The optical conductivity spectra are calculated for the ground state and a photoexcited state in the one-dimensional Hubbard model at half filling by using the exact diagonalization method. It is found that, in the Mott insulator phase, the photoexcited state has large spectral weights including the Drude weight below the optical gap. As a consequence, the spectral weight above the optical gap is largely reduced. These results imply that a metallic state is induced by photoexcitation. Comparison between the photoexcited and hole-doped states shows that the photoexcitation is similar to chemical doping.

show abstract

Optical Conductivity of the Two-Dimensional Hubbard Model

Abstract: Charge dynamics of the two-dimensional Hubbard model is investigated.Lanczös-diagonalization results for the optical conductivity and the Drude weight of this model are

Cited by 19 publications

References 13 publications

Drude Weight of the Two-Dimensional Hubbard Model –Reexamination of Finite-Size Effect in Exact Diagonalization Study–

Drude Weight of the Two-Dimensional Hubbard Model –Reexamination of Finite-Size Effect in Exact Diagonalization Study–

Exact diagonalization study of optical conductivity in the two-dimensional Hubbard model

Photoinduced Metallic Properties of One-Dimensional Strongly Correlated Electron Systems

Contact Info

Product

Resources

About