Phenomenological model for charge dynamics and optical response of disordered systems: application to organic semiconductors

Abstract

We provide a phenomenological formula which describes the low-frequency optical absorption of charge carriers in disordered systems with localization. This allows to extract, from experimental data on the optical conductivity, the relevant microscopic parameters determining the transport properties, such as the carrier localization length and the elastic and inelastic scattering times. This general formula is tested and applied here to organic semiconductors, where dynamical molecular disorder is known to play a key role in the transport properties. The present treatment captures the basic ideas underlying the recently proposed transient localization scenario for charge transport, extending it from the d.c. mobility to the frequency domain. When applied to existing optical measurements in rubrene FETs, our analysis provides quantitative evidence for the transient localization phenomenon. Possible applications to other disordered electronic systems are briefly discussed.

arXiv commentextended version with optical conductivity formulas for both non-degenerate and degenerate electron systems

References in corpus (13)

• Random-Matrix Theory of Quantum Transport
• Hall effect in the accumulation layers on the surface of organic semiconductors
• Band-like motion and mobility saturation in organic molecular semiconductors
• Transient localization in crystalline organic semiconductors
• Quantum dynamics in two and three-dimensional quasiperiodic tilings
• "Bad Metal" Conductivity of Hard Core Bosons
• Quantum coherence and carriers mobility in organic semiconductors
• Conductivity of graphene with resonant and non-resonant adsorbates
• Electronic transport and quantum localization effects in organic semiconductors
• Quantum transport of slow charge carriers in quasicrystals and correlated systems
• A new formalism for the computation of RKKY interaction in aperiodic systems
• Transport Properties and Optical Conductivity of the adiabatic Su-Schrieffer-Heeger model: a showcase study for rubrene based field effect transistors
• Comment on ``Collapse of Coherent Quasiparticle States in $\theta$-(BEDT-TTF)${}_2$I${}_3$ Observed by Optical Spectroscopy''

Cited by in corpus (21)

• The transient localization scenario for charge transport in crystalline organic materials
• Optical detection of charge-density-wave instability in the non-magnetic kagome metal KV${}_3$Sb${}_5$
• Low-energy optical properties of the non-magnetic kagome metal CsV${}_3$Sb${}_5$
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Spin-reorientation-induced band gap in Fe${}_3$Sn${}_2$: Optical signatures of Weyl nodes
• Rise and Fall of Landau's Quasiparticles While Approaching the Mott Transition
• Modelization of charge carriers mobilities in halide perovskites: Fröhlich scattering and quantum localization effects in a dynamic disorder regime
• Optical study of RbV${}_3$Sb${}_5$: Multiple density-wave gaps and phonon anomalies
• On dynamical localization corrections to band transport
• Intriguing Low-Temperature Phase in the Antiferromagnetic Kagome Metal FeGe
• Coherent charge carrier dynamics in the presence of thermal lattice vibrations
• Effect of magnetism and phonons on localized carriers in the ferrimagnetic kagome metals GdMn${}_6$Sn${}_6$ and TbMn${}_6$Sn${}_6$
• Pressure evolution of electron dynamics in the superconducting kagome metal CsV${}_3$Sb${}_5$
• Quantum acoustics unravels Planckian resistivity
• Charge transport limited by nonlocal electron-phonon interaction. II. Numerically exact quantum dynamics in the slow-phonon regime
• Two-dimensional electronic transport in rubrene: the impact of inter-chain coupling
• Interplay of $d$- and $p$-states in RbTi${}_3$Bi${}_5$ and CsTi${}_3$Bi${}_5$ flat-band kagome metals
• Two channel model for optical conductivity of high mobility organic crystals
• Numerically "exact" charge transport dynamics in a dissipative electron-phonon model rationalizing the success of the transient localization scenario
• Non-equilibrium Optical Conductivity in Materials with Localized Electronic States
• High-pressure modulation of breathing kagome lattice: Cascade of Lifshitz transitions and evolution of the electronic structure