Photoinduced insulator-metal transition in one-dimensional Mott insulators

Takahashi, Atsushi; Itoh, Hisashi; Aihara, Masaki

doi:10.1103/physrevb.77.205105

Cited by 65 publications

(60 citation statements)

References 24 publications

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“…In our problem, this expression can be simplified because the effect of the Peierls phase on the adiabatic solutions is expressed simply by replacing the momentum p by p − Φ. Thus, we have (21) which leads to D p = γ ∆E(p − Φ(t))dt, where ∆E is defined in Eq. (6).…”

Section: Landau-dykhne + Bethe Ansatz Methodsmentioning

confidence: 99%

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

Oka

2012

Phys. Rev. B

144

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Doublon-hole pair production which takes place during dielectric breakdown in a Mott insulator subject to a strong laser or a static electric field is studied in the one-dimensional Hubbard model. Two nonlinear effects cause the excitation, i.e., multi-photon absorption and quantum tunneling. Keldysh crossover between the two mechanisms occurs as the field strength and photon energy is changed. The calculation is done analytically by the Landau-Dykhne method in combination with the Bethe ansatz solution and the results are compared with those of the time dependent density matrix renormalization group. Using this method, we calculate distribution function of the generated doublon-hole pairs and show that it drastically changes as we cross the Keldysh crossover line. After calculating the tunneling threshold for several representative one-dimensional Mott insulators, possible experimental tests of the theory is proposed such as angle resolved photoemission spectroscopy of the upper Hubbard band in the quantum tunneling regime. We also discuss the relation of the present theory with a many-body extension of electron-positron pair production in nonlinear quantum electrodynamics known as the Schwinger mechanism.

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Section: Landau-dykhne + Bethe Ansatz Methodsmentioning

confidence: 99%

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

Oka

2012

Phys. Rev. B

144

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“…A variety of exotic nonequlibrium phenomena emerges owing to the spin and orbital degrees of freedom, [3][4][5][6][7][8][9][10][11] and a number of theoretical studies has been also performed in the optical induced nonequilibrium state in the Mott insulators. [12][13][14][15][16][17][18][19][20][21] Another promising target for the photoinduced nonequilibrium dynamics in correlated electron systems is the charge ordered (CO) state, in which the averaged electron density per site is 0.5 in most of the cases. The CO states, in which the translational symmetry of the electronic charge distribution is broken, are ubiquitously observed in a wide class of solids.…”

Section: Introductionmentioning

confidence: 99%

Photoinduced charge-order melting dynamics in a one-dimensional interacting Holstein model

Hashimoto¹,

Ishihara²

2017

Phys. Rev. B

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Transient quantum dynamics in an interacting fermion-phonon system are investigated. In particular, a charge order (CO) melting after a short optical-pulse irradiation and roles of the quantum phonons on the transient dynamics are focused on. A spinless-fermion model in a one-dimensional chain coupled with local phonons is analyzed numerically. The infinite time-evolving block decimation algorithm is adopted as a reliable numerical method for one-dimensional quantum many-body systems. Numerical results for the photoinduced CO melting dynamics without phonons are well interpreted by the soliton picture for the CO domains. This interpretation is confirmed by the numerical simulation for an artificial local excitation and the classical soliton model. In the case of the large phonon frequency corresponding to the antiadiabatic condition, the CO melting is induced by propagations of the polaronic solitons with the renormalized soliton velocity. On the other hand, in the case of the small phonon frequency corresponding to the adiabatic condition, the first stage of the CO melting dynamics occurs due to the energy transfer from the fermionic to phononic systems, and the second stage is brought about by the soliton motions around the bottom of the soliton band. Present analyses provide a standard reference for the photoinduced CO melting dynamics in low-dimensional many-body quantum systems.

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“…Photodoping in correlated materials can induce, e.g., metal-insulator transitions in Mott and charge-transfer insulators, and ultrafast melting of charge and spin order (see the Introduction). Previous studies of photoinduced phase transitions have been performed in 1D using exact diagonalization and time-dependent DMRG for the Hubbard model Takahashi, Itoh, and Aihara, 2008), and for the Hubbard-Holstein model (Matsueda et al, 2012) as well as for a spin-charge coupled system (Matsueda and Ishihara, 2007;Ishihara, 2009, 2011). Nonequilibrium DMFT can potentially simulate the corresponding dynamics in extended higherdimensional systems, and make predictions for time-resolved optical and photoemission spectroscopy (Sec.…”

Section: Photoexcitations and Photodopingmentioning

confidence: 99%

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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Photoinduced insulator-metal transition in one-dimensional Mott insulators

Cited by 65 publications

References 24 publications

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

Nonlinear doublon production in a Mott insulator: Landau-Dykhne method applied to an integrable model

Photoinduced charge-order melting dynamics in a one-dimensional interacting Holstein model

Nonequilibrium dynamical mean-field theory and its applications

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