Coherent charge carrier dynamics in the presence of thermal lattice vibrations

Kim, Donghwan; Aydin, Alhun; Daza, Álvar; Avanaki, K. Nasiri; Keski-Rahkonen, Joonas; Heller, Eric J.

doi:10.1103/physrevb.106.054311

Cited by 9 publications

(7 citation statements)

References 116 publications

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“…Teleportation is being used for secure communications 73,74 . Moreover, Glauber's coherent states have been recently invoked in condensed‐matter physics to describe lattice vibrations and their interactions with charge carriers 75 …”

Section: Roy Glauber's Legacymentioning

confidence: 99%

“…73,74 Moreover, Glauber's coherent states have been recently invoked in condensedmatter physics to describe lattice vibrations and their interactions with charge carriers. 75 Roy Glauber's contributions could be compared to fine threads that are spun into a tapestry of quantum optics that has nurtured burgeoning areas of quantum science and engineering around the world. It is difficult to see these threads because they are everywhere.…”

Section: Roy Glauber's Legacymentioning

confidence: 99%

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About Roy Glauber

2023

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We recount the life, work, and legacy of the theoretical physicist Roy Glauber . Admitted to Harvard at age 16, called upon to participate in the Manhattan Project at age eighteen, and appointed to the Harvard Physics faculty at age 29, Glauber is credited with seminal contributions to three separate fields of physics: nuclear scattering, statistical physics, and foundational work in quantum optics, which earned him the 2005 Nobel Prize in Physics. Over decades, Glauber was also a dedicated teacher of high-school, college, and graduate students. His pedagogical gifts are reflected in his lucid papers that read as if they were written yesterday.

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Section: Roy Glauber's Legacymentioning

confidence: 99%

Section: Roy Glauber's Legacymentioning

confidence: 99%

About Roy Glauber

2023

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“…In Ref. [9], results of a numerical calculation were presented for D(E) of a two-dimensional model of a particle interacting with quasiclassical frozen acoustic phonons. However, that calculation did not extend far enough into the low-energy tail to warrant comparison with an analysis using the methods of the present paper.…”

Section: B Three-dimensional Systemsmentioning

confidence: 99%

“…Attempts to explain (1) have generally treated the phonon bath as giving rise to lattice distortions that can be treated as static on the time-scale of interest for the absorption process. In this case, the problem reduces to the model of a particle interacting with a potential that obeys Gaussian statistics with variance that will be proportional to T , for T ≫ ω ph /2, where ω ph is a characteristic phonon frequency [7][8][9]. The low-energy tail is then produced by processes in which the exciton is injected in a region where a thermal distortion has led to a reduction in the local energy gap.…”

Section: Introductionmentioning

confidence: 99%

“…(C3)If one uses the quasiclassical potentialV qc (x) = ⟨α| V (x) |α⟩ = k (λ k α * k + λ * −k α −k )e −ikx ,(C4)its spatial autocorrelation function averaged over the thermal ensemble of phonons is⟨V qc (x)V qc (x ′ )⟩ T = k |γ k | 2 ρLω k n k e −ik(x−x ′ ) k e −ik(x−x ′ ) , (C6)missing the quantum fluctuation contribution to Eq. (C3)[9]. In the classical phonon limit, ρ → ∞ while fixing T , −ik(x−x ′ ) .…”

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Low-energy tail of the spectral density for a particle interacting with a quantum phonon bath

Kim

Halperin

2023

Phys. Rev. B

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We describe two approximation methods designed to capture the leading behavior of the lowenergy tail of the momentum-dependent spectral density A(k, E) and the tunneling density of states D(E) for an injected particle, such as an electron or an exciton, interacting with a bath of phonons at a non-zero initial temperature T , including quantum corrections due to the non-zero frequencies of the relevant phonons. In our imaginary-time-dependent Hartree (ITDH) approximation, we consider a situation where the particle is injected into a specified coherent state of the phonon system, and we show how one can use the ITDH approximation to obtain the correlation function C(τ ) for that initial state. The thermal average C(τ ) is obtained, in principle, by integrating the result over all possible initial phonon coherent states, weighted by a thermal distribution. However, in the low-energy tail, one can obtain a good first approximation by considering only initial states near the one that maximizes the integrand. Our second approximation, the fixed-wave-function (FWF) approximation, assumes that the wave function of the injected particle evolves instantaneously to a wave function which then is independent of time, while the phonon system continues to evolve due to interaction with the particle. We discuss how to invert the Laplace transform and how to obtain A(k, E) as well as D(E) from the imaginary-time analysis. The FWF approximation is used to calculate D(E) for a one-dimensional continuum model of a particle interacting with acoustic phonons, and effects due to the quantum motion of phonons are observed. In the classical phonon limit, where the nuclear mass is taken to infinity while the elastic constants and other parameters are held fixed, the dominant behaviors of both the ITDH and FWF approximations in the low-energy tail reduce to that found in the past for a particle in a random potential with a Gaussian statistical distribution.

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