Sharp Transition for Single Polarons in the One-Dimensional Su-Schrieffer-Heeger Model

Marchand, D. J. J.; Filippis, G. De; Cataudella, V.; Berciu, Mona; Nagaosa, Naoto; Prokof’ev, Nikolay; Mishchenko, A. S.; Stamp, P. C. E.

doi:10.1103/physrevlett.105.266605

Cited by 137 publications

(146 citation statements)

References 33 publications

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“…The value of the Hubbard repulsion U ¼ 10t yields low-energy physics very similar to that of the t À J model with J ¼ 4t 2 /U (see Methods). Although the exact solution for this Hamiltonian is not available, the time evolution of the many-body wavefunction |C(t)i can be obtained in a small two-dimensional lattice (eight sites with periodic boundary conditions) by using an exact diagonalization method (time-dependent Lanczos approach) based on a smart truncation of the boson Hilbert space, which has been proven successful in different systems 34,35 . Spin and charge degrees of freedom are treated exactly within numerical precision.…”

Section: Discussionmentioning

confidence: 99%

“…The real bottleneck comes from the infinite dimensional Hilbert space required by the boson excitations. To solve this problem, we use a generalization of the method recently introduced in the Holstein 35 and Su-Schrieffer-Heeger model 34 : the double-boson approach. It is based on a smart truncation of the boson Hilbert space including two distinct sets of states.…”

Section: Methodsmentioning

confidence: 99%

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Witnessing the formation and relaxation of dressed quasi-particles in a strongly correlated electron system

et al. 2014

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The non-equilibrium approach to correlated electron systems is often based on the paradigm that different degrees of freedom interact on different timescales. In this context, photo-excitation is treated as an impulsive injection of electronic energy that is transferred to other degrees of freedom only at later times. Here, by studying the ultrafast dynamics of quasi-particles in an archetypal strongly correlated charge-transfer insulator (La 2 CuO 4 þ d ), we show that the interaction between electrons and bosons manifests itself directly in the photo-excitation processes of a correlated material. With the aid of a general theoretical framework (Hubbard-Holstein Hamiltonian), we reveal that sub-gap excitation pilots the formation of itinerant quasi-particles, which are suddenly dressed by an ultrafast reaction of the bosonic field.

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Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Witnessing the formation and relaxation of dressed quasi-particles in a strongly correlated electron system

et al. 2014

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“…In the considered model Eq. (1) and at the values of λ characteristic of organic semiconductors, however, the electron is completely free in the adiabatic regime [64,94,119] and the large-polaron correlations present at finite values of the phonon frequency are unlikely to survive the thermal lattice fluctuations at room temperature. A phenomenological model based on the localization induced by thermal molecular motions, and which does not require the presence of polaronic electron-lattice correlations, is presented in Sec.…”

Section: Other Quantum Approachesmentioning

confidence: 99%

The Transient Localization Scenario for Charge Transport in Crystalline Organic Materials

Fratini

Mayou

Ciuchi

2016

Adv Funct Materials

312

452

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Charge transport in crystalline organic semiconductors is intrinsically limited by the presence of large thermal molecular motions, which are a direct consequence of the weak van der Waals inter-molecular interactions. These lead to an original regime of transport called transient localization, sharing features of both localized and itinerant electron systems. After a brief review of experimental observations that pose a challenge to the theory, we concentrate on a commonly studied model which describes the interaction of the charge carriers with inter-molecular vibrations. We present different theoretical approaches that have been applied to the problem in the past, and then turn to more modern approaches that are able to capture the key microscopic phenomenon at the origin of the puzzling experimental observations, i.e. the quantum localization of the electronic wavefuntion at timescales shorter than the typical molecular motions. We describe in particular a relaxation time approximation which clarifies how the transient localization due to dynamical molecular motions relates to the Anderson localization realized for static disorder, and allows us to devise strategies to improve the mobility of actual compounds. The relevance of the transient localization scenario to other classes of systems is briefly discussed.

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“…In particular for α = 0.15 P becomes equal to few lattice sites. At this value of the coupling constant the nature of the ground state has changed: the electron form a bond polaron [23][24][25][26][27][28] that is characterized by a very large effective mass.…”

Section: Temperature Dependence Of Mobilitymentioning

confidence: 99%

Transport properties and optical conductivity of the adiabatic Su-Schrieffer-Heeger model: A showcase study for rubrene-based field effect transistors

2011

Self Cite

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Transport properties, spectral function and optical conductivity of the adiabatic one-dimensional Su-Schrieffer-Heeger (SSH) model are studied with particular emphasis on the model parameters suitable for Rubrene single crystals based field effect transistors. We show that the mobility, calculated by using the Kubo formula for conductivity, vanishes unless we introduce an "ad hoc" broadening of the system energy levels. Furthermore, the apparent contradiction between angle resolved photoemission data and transport properties is clarified by studying the behavior of the spectral function. Finally, a peak in the optical conductivity at very low energy is obtained and discussed in connection with the available experimental data for Rubrene based devices.

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Sharp Transition for Single Polarons in the One-Dimensional Su-Schrieffer-Heeger Model

Cited by 137 publications

References 33 publications

Witnessing the formation and relaxation of dressed quasi-particles in a strongly correlated electron system

Witnessing the formation and relaxation of dressed quasi-particles in a strongly correlated electron system

The Transient Localization Scenario for Charge Transport in Crystalline Organic Materials

Transport properties and optical conductivity of the adiabatic Su-Schrieffer-Heeger model: A showcase study for rubrene-based field effect transistors

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