Ultrafast Optical Nonlinearity in the Quasi-One-Dimensional Mott Insulator<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Sr</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Ogasawara, T.; Ashida, Masaaki; Motoyama, N.; Eisaki, H.; Uchida, S.; Tokura, Y.; Ghosh, Haranath; Shukla, Alok; Mazumdar, S.; Kuwata‐Gonokami, Makoto

doi:10.1103/physrevlett.85.2204

Cited by 148 publications

(158 citation statements)

References 13 publications

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“…One manifestation of strong correlations, in equilibrium, is the Mott insulator, where the large cost in energy of putting two electrons on the same site leads to a charge excitation gap and inhibits conduction. Using an intense laser pulse, one can excite electrons across the charge gap, which drives the system into a nonequilibrium but relatively longlived conducting state (Ogasawara et al, 2000;Iwai et al, 2003;Perfetti et al, 2006;. Such a process, sometimes called photodoping (Nasu, 2004), is a typical example of a pathway to new phases, where mobile carriers are introduced in situ, as distinct from techniques employed in equilibrium, where the carrier concentration is typically controlled by chemical doping (Imada, Fujimori, and Tokura, 1998).…”

Section: B Physical Backgroundmentioning

confidence: 99%

“…correlated Mott and charge-transfer insulators (Ogasawara et al, 2000;Iwai et al, 2003;Perfetti et al, 2006;Kübler et al, 2007;Okamoto et al, , 2008, the pump-induced melting and recovery of charge density waves (Schmitt et al, 2008;Hellmann et al, 2010;Petersen et al, 2011) with studies combining structural and electronic dynamics (Eichberger et al, 2010), and ultrafast dynamics induced in ferromagnets (Beaurepaire et al, 1996) or antiferromagnets (Ehrke et al, 2011), to name only a few.…”

Section: B Physical Backgroundmentioning

confidence: 99%

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Nonequilibrium dynamical mean-field theory and its applications

et al. 2014

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The study of nonequilibrium phenomena in correlated lattice systems has developed into one of the most active and exciting branches of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of equilibrium situations, and the theoretical understanding of the physics often requires the development of new concepts and methods. On the experimental side, ultrafast pump-probe spectroscopies enable studies of excitation and relaxation phenomena in correlated electron systems, while ultracold atoms in optical lattices provide a new way to control and measure the time evolution of interacting lattice systems with a vastly different characteristic time scale compared to electron systems. A theoretical description of these phenomena is challenging because, first, the quantum-mechanical time evolution of many-body systems out of equilibrium must be computed and second, strong-correlation effects which can be of a nonperturbative nature must be addressed. This review discusses the nonequilibrium extension of the dynamical mean field theory (DMFT), which treats quantum fluctuations in the time domain and works directly in the thermodynamic limit. The method reduces the complexity of the calculation via a mapping to a selfconsistent impurity problem, which becomes exact in infinite dimensions. Particular emphasis is placed on a detailed derivation of the formalism, and on a discussion of numerical techniques, which enable solutions of the effective nonequilibrium DMFT impurity problem. Insights gained into the properties of the infinite-dimensional Hubbard model under strong nonequilibrium conditions are summarized. These examples illustrate the current ability of the theoretical framework to reproduce and understand fundamental nonequilibrium phenomena, such as the dielectric breakdown of Mott insulators, photodoping, and collapse-and-revival oscillations in quenched systems. Furthermore, remarkable novel phenomena have been predicted by the nonequilibrium DMFT simulations of correlated lattice systems, including dynamical phase transitions and field-induced repulsion-to-attraction conversions.

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Section: B Physical Backgroundmentioning

confidence: 99%

Section: B Physical Backgroundmentioning

confidence: 99%

Nonequilibrium dynamical mean-field theory and its applications

et al. 2014

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“…These materials including conjugated polymers, Cu oxides and Ni halides exhibit rich phase diagrams and display huge ultrafast optical nonlinearity which point to promisinig optoelectronic applications [1][2][3][4]. The one-dimensional (1D) extended Hubbard model (EHM) with the nearest neighbour repulsion V in addition to the on-site repulsion U is a standard minimal model that can describe these rich physical properties.…”

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confidence: 99%

Dimerization in a Half-Filled One-Dimensional Extended Hubbard Model

Zhang

2004

Phys. Rev. Lett.

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We use a density matrix renormalization group method to study quantitatively the phase diagram of a one-dimensional extended Hubbard model at half-filling by investigating the correlation functions and structure factors. We confirm the existence of a novel narrow region with long-rang bond-order-wave order which is highly controversial recently between the charge-density-wave phase and Mott insulator phase. We determined accurately the position of the tricritical point U t ≃ 7.2t, V t ≃ 3.746t which is quite different from previous studies.

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“…In the case that U/t = 10 and V /t = 2, the absorption band edges in χ j (ω) and χ τ (ω) are found to be nearly degenerate. The distribution of the even-parity states for Sr 2 CuO 3 has been measured by the two-photon absorption (TPA) spectroscopy, and a finite energy difference (∼ 0.3 eV) between the peaks in the linear absorption and TPA spectra has been reported [1]. The behavior of the band edges in the odd-and even-parity spectra is different from that of the peaks in the spectra.…”

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confidence: 99%

“…Fd, 72.80.Sk, 78.30.Am In one-dimensional Mott insulators with strong onsite Coulomb interaction U , the ultrafast and gigantic nonlinear optical response have been observed [1,2]. The third-order nonlinear susceptibilities in the typical one-dimensional Mott insulators of charge transfer type, such as cuprates and halogen-bridged Ni-halides, are a thousand times larger than those of band insulators or Peierls insulators [2].…”

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confidence: 99%

Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators

2004

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One-dimensional Mott insulators exhibit giant nonlinear optical response. Based on the dynamical density matrix renormalization group method, photoexcited states and optical response in the insulators are studied as functions of the on-site and the nearest neighbor Coulomb interactions, U and V , respectively. We find that the lowest optically allowed and forbidden excited states across the Mott gap, which have odd and even parities, respectively, are degenerate for V /t < ∼ 2 with t being the hopping integral of an electron between nearest neighbor sites. For V /t > ∼ 2, the bound states with odd and even parities occur and are not degenerate. The nature of the degeneracy and its effect on the optical response are examined.PACS numbers: 71.10. Fd, 72.80.Sk, 78.30.Am In one-dimensional Mott insulators with strong onsite Coulomb interaction U , the ultrafast and gigantic nonlinear optical response have been observed [1,2]. The third-order nonlinear susceptibilities in the typical one-dimensional Mott insulators of charge transfer type, such as cuprates and halogen-bridged Ni-halides, are a thousand times larger than those of band insulators or Peierls insulators [2]. In the previous theoretical investigations [3,4], it has been pointed out that the anomalous enhancement of the nonlinear susceptibilities in the onedimensional Mott insulators originates in the large transition dipole moment between an optically allowed state with odd parity and an optically forbidden (two-photon allowed) state with even parity due to the degeneracy of these states.In the large-U limit, only the charge degree of freedom survives in the photoexcited states due to the spincharge separation [5], and the system is well described by an effective two particle model, called the holon-doublon model, which is composed of a holon representing one photoinduced empty site and a doublon representing one doubly occupied site with the attractive Coulomb interaction −V between them. When V exceeds a critical value V = 2t, these paricles form an excitonic bound state [6]. Since these two particles cannot exchange each other, the photoexcited states with odd and even parities are degenerate regardless of the magnitude of V . By using this model, the experimentally obtained optical spectra for the cuprates have been analyzed. However, the optical gap in the compounds is finite (∼ 2 eV) and thus the holon-doublon model, which is obtained in the limit of large U , may be re-examined. Under a finite-U condition, there is an intermediate process that these particles recombine, while this process is prohibited in the large-U limit. Since, in the finite-U condition, these particle can exchange their positions through the intermediate process, the eigenenergies of the odd-and even-parity states * Electronic address: matsueda@imr.tohoku.ac.jp may be different. Therefore, it is indispensable to clarify the optical response in Mott insulators with finite U .The minimal model to describe photoexcitation in the Mott insulators is the single-band extended Hubba...

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Ultrafast Optical Nonlinearity in the Quasi-One-Dimensional Mott InsulatorSr2CuO3

Cited by 148 publications

References 13 publications

Nonequilibrium dynamical mean-field theory and its applications

Nonequilibrium dynamical mean-field theory and its applications

Dimerization in a Half-Filled One-Dimensional Extended Hubbard Model

Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators

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