Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators

Matsueda, Hiroaki; Bulut, N.; Tohyama, Takami; Maekawa, Sadamichi

doi:10.1103/physrevb.72.075136

Cited by 26 publications

(29 citation statements)

References 32 publications

(38 reference statements)

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“…The study of finitetemperature effects on the spectral functions of onedimensional systems using quantum Monte Carlo techniques [41][42][43] has mostly focused on the interpretation of photoemission experiments on quasi-one-dimensional compounds such as SrCuO 2 ͑Refs. 44-46͒ and TTF-TCNQ.…”

Section: Discussionmentioning

confidence: 99%

Spectral properties of a spin-incoherent Luttinger liquid

Feiguin

Fiete

2010

Phys. Rev. B

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We present time-dependent density-matrix renormalization-group ͑DMRG͒ results for strongly interacting one-dimensional fermionic systems at finite temperature. When interactions are strong the characteristic spin energy can be greatly suppressed relative to the characteristic charge energy, allowing for the possibility of spin-incoherent Luttinger liquid physics when the temperature is high compared to the spin energy, but small compared to the charge energy. Using DMRG we compute the spectral properties of the t-J model at arbitrary temperatures with respect to both spin and charge energies. We study the full crossover from the Luttinger liquid regime to the spin-incoherent regime, focusing on small J / t, where the signatures of spin-incoherent behavior are more manifest. Our method allows us to access the analytically intractable regime where temperature is on the order of the spin energy, T ϳ J. Our results should be helpful in the interpretation of experiments that may be in the crossover regime, T ϳ J, and apply to one-dimensional cold atomic gases where finite-temperature effects are appreciable. The technique may also be used to guide the development of analytical approximations for the crossover regime.

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Section: Discussionmentioning

confidence: 99%

Spectral properties of a spin-incoherent Luttinger liquid

Feiguin

Fiete

2010

Phys. Rev. B

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“…Qualitatively, both spectral functions are very similar and resemble the spectral function of the Hubbard model. 8,12,21 However, our DDMRG spectra are free of the striped structures which are present in the variational CPT spectral functions. Therefore, we conclude that these striped structures are artifacts of the variational CPT approach.…”

Section: One-particle Spectral Functionmentioning

confidence: 98%

“…8,12,21 To identify these structures, we have calculated the exact dispersions of various excitations in a periodic 90-site Hubbard chain using the Bethe ansatz. The parameter U / t = 7.74 has been chosen to reproduce the one-particle gap of the extended Hubbard model with U / t = 7.8 and V / t = 1.3.…”

Section: One-particle Spectral Functionmentioning

confidence: 99%

“…16 It is a zero-temperature method which has been successfully applied to the study of dynamical properties in metallic and insulating phases of onedimensional extended Hubbard models. [17][18][19][20][21] In this paper, we consider the dynamical properties of the half-filled extended Hubbard model with nearest-neighbor interaction. It is believed to be a minimal model for quasi-one-dimensional Mott insulators, such as the cuprate compounds SrCuO 2 and Sr 2 CuO 3 .…”

Section: Introductionmentioning

confidence: 99%

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Spin and charge dynamics of the one-dimensional extended Hubbard model

Benthien

Jeckelmann

2007

Phys. Rev. B

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We investigate the dynamical spin and charge structure factors and the one-particle spectral function of the one-dimensional extended Hubbard model at half band-filling using the dynamical density-matrix renormalization group method. The influence of the model parameters on these frequency- and momentum-resolved dynamical correlation functions is discussed in detail for the Mott-insulating regime. We find quantitative agreement between our numerical results and experiments for the optical conductivity, resonant inelastic X-ray scattering, neutron scattering, and angle-resolved photoemission spectroscopy in the quasi-one-dimensional Mott insulator SrCuO$_2$.Comment: 9 pages, 11 figure

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“…We will consider the case of electron-filling n = 0.60, since the filling of the TCNQ band is 0.59. We note that A(k, ω) of the 1D Hubbard model was studied with the QMC [6,7,8,9] and the DDMRG [8,10] as well as with the Bethe ansatz [11].…”

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confidence: 99%

Anomalous temperature dependence of the single-particle spectrum in the organic conductor TTF-TCNQ

et al. 2006

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The angle-resolved photoemission spectrum of the organic conductor TTF-TCNQ exhibits an unusual transfer of spectral weight over a wide energy range for temperatures 60K < T < 260K. In order to investigate the origin of this finding, here we report numerical results on the single-particle spectral weight A(k, ω) for the one-dimensional (1D) Hubbard model and, in addition, for the 1D extended Hubbard and the 1D Hubbard-Holstein models. Comparisons with the photoemission data suggest that the 1D Hubbard model is not sufficient for explaining the unusual T dependence, and the long-range part of the Coulomb repulsion also needs to be included.PACS numbers: 71.10. Fd, 79.60.Fr, 71.20.Rv, 72.15.Nj The low-dimensional interacting systems receive attention because of their unusual electronic properties [1]. In this respect, the high-resolution AngleResolved Photoemission Spectroscopy (ARPES) measurements on the quasi-one-dimensional organic conductor tetrathiofulvalene-tetracyanoquinodimethan (TTF-TCNQ) have provided evidence for non-Fermi liquid behavior in this compound [2,3,4,5]. In particular, the ARPES experiments have found that the single-particle spectral weight at the Fermi wavevector k F is transferred over an energy range of ≈ 1.3eV of the Fermi level in the TCNQ-derived band, as the temperature T decreases from 260K to 60K [3,4]. In a Fermi liquid the spectralweight transfer would have occurred within ∼ k B T of the Fermi level. Here, we investigate the origin of this unusual ARPES data and its meaning for the electronic structure of TTF-TCNQ by using the Dynamical Density Matrix Renormalization Group (DDMRG), Quantum Monte Carlo (QMC) and the exact diagonalization methods.There are various possibilities as to what might be the origin of the anomalous T dependence of the singleparticle spectral weight at the Fermi level, A(k F , ω), in TTF-TCNQ: (i) It has been suggested that the Tdependence of the ARPES data can be explained within the one-dimensional (1D) Hubbard model [3,4]. In this case, the anomalous T -dependence of A(k F , ω) over the conduction bandwidth has been attributed to the strongcorrelation effects. Indeed, by using the Bethe-Ansatz solution, the photoemission spectrum has been fitted excellently to the dispersion of the spinon and holon bands of the 1D Hubbard model with the parameters t = 0.4eV for the hopping matrix element and U = 2eV for the Coulomb repulsion. The recent observation of the 3k F structures in A(k, ω) by the ARPES [5] also supports this picture. (ii) An alternative point of view is that an extended Hubbard model with long-range Coulomb repulsion is necessary, particularly because the screening of the long-range Coulomb repulsion is expected to be weaker for the surface layer of TTF-TCNQ. (iii) Another possibility is that the electron-phonon interaction, in addition to the strong Coulomb repulsion, plays a role in producing the unusual T dependence. In this paper, our goal is to differentiate among these possibilities. For this purpose, we present DDMRG and finite-temper...

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Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators

Cited by 26 publications

References 32 publications

Spectral properties of a spin-incoherent Luttinger liquid

Spectral properties of a spin-incoherent Luttinger liquid

Spin and charge dynamics of the one-dimensional extended Hubbard model

Anomalous temperature dependence of the single-particle spectrum in the organic conductor TTF-TCNQ

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