Beating pattern in radiation-induced oscillatory magnetoresistance in 2DES: Coupling of plasmon-like and acoustic phonon modes

Iñarrea, Jesús

doi:10.1063/1.5029332

Cited by 1 publication

(12 citation statements)

References 58 publications

(31 reference statements)

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“…

normalγ

is a phenomenologically introduced damping factor for the electron scattering with the lattice ions. Based on this theory we presented in a previous contribution a model to explain the physics of the beating pattern showing up in irradiated R xx at very low magnetic fields. According to it, following the physics of plasmon–phonon coupling, we consider that the system of driven‐Landau states, behaving like a “plasmon‐like” mode, couples with an acoustic phonon mode.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…According to it, following the physics of plasmon–phonon coupling, we consider that the system of driven‐Landau states, behaving like a “plasmon‐like” mode, couples with an acoustic phonon mode. Thus, we were able to obtain a new expression for the position of the guiding center of the hybrid driven‐Landau state mode:

X true(t true) = X_{0} + A \sin ω_{+} t + B \sin ω_{-} t

where the new frequencies are:

2 ω_{\pm}^{2} = true(ω^{2} + ω_{a c}^{2} true) \pm \sqrt{true(ω^{2} - ω_{a c}^{2} true) + 16 λ^{2} ω_{a c} ω}

ω

is the frequency of both, radiation and the driven‐Landau state mode.

ω_{a c}

is the frequency of the acoustic phonon mode and

normalλ

the plasmon–phonon coupling constant.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…With the expression of X ( t ) (Equation ) and according to the radiation‐driven electron orbit model, we obtain for the average distance advanced by the electron in a scattering event

\begin{array}{c} center & Δ X (t) = Δ X_{0} - e^{- \frac{γ}{2} τ} A [\sin ω_{+} τ + \sin ω_{-} τ] \\ center & = Δ X_{0} - 2 A e^{- \frac{γ}{2} τ} \sin ω τ \cos normalλ τ \end{array}

where we have used the well‐known expression:

\sin true(θ_{1} true) + \sin true(θ_{2} true) = 2 \sin true[\frac{θ_{1} + θ_{2}}{2} true] \cos true[\frac{θ_{1} - θ_{2}}{2} true]

and we have considered that

A ≃ B

and that

ω_{\pm} ≃ ω \pm λ

. The time,

τ

, according to the radiation driven electron orbit model, is the “flight time,” the time it takes the electron to jump due to scattering from one orbit to another and its value is given by

τ = \frac{2 π}{ω_{c}}

.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The time,

τ

, according to the radiation driven electron orbit model, is the “flight time,” the time it takes the electron to jump due to scattering from one orbit to another and its value is given by

τ = \frac{2 π}{ω_{c}}

. Finally and following the radiation‐driven electron orbit model we end up with an expression for R xx :

R_{x x} \propto Δ X_{0} - 2 A e^{- π \frac{γ}{w_{c}}} \sin true(2 π \frac{ω}{ω_{c}} true) \cos true(2 π \frac{λ}{ω_{c}} true)

…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Nevertheless, and unexpectedly as well, there has been recently presented new experimental results presenting a similar beating pattern on MIRO at very low B too. It was recently proposed a possible physical explanation for such a beating pattern: this microwave‐induced beating patter indicates the presence of coupling between two oscillatory contributions, one is a system of electron Landau states harmonically driven by radiation and the other is a collective motion of the lattices ions, i.e., an acoustic phonon mode. This is the most likely process for coupling, for two main reasons: the first is the low temperature of the experiments, about 1 K or less, and then only acoustic phonons modes can be available.…”

Section: Introductionmentioning

confidence: 99%

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Plasmon–Phonon Coupling in Radiation‐Induced Resistance Oscillations: Beating Pattern and Phase Reversal

Iñarrea

2019

Physica Status Solidi (b)

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This article presents a theoretical study on the experimental observation of two different kinds of beating patterns in the microwave-induced resistance oscillations at very low magnetic field in a high mobility two-dimensional electron system. In the first pattern there was no phase reversal through the beat, however, the latter experiments present a clear phase reversal of π. Based on a model that considers that the beating pattern is produced as a result of the coupling between a system of electron Landau states harmonically driven by radiation and an acoustic phonon mode, the contradictory results are explained through a different intensity coupling in terms of amplitude. In the scenario of the non-phase-reversal case, the dependence on radiation frequency and temperature is studied as well as the possibility of observation of more than one beat by lowering temperature and microwave power. It is concluded that both results can be explained with the same theoretical model that in turn is based on the microwave-driven electron orbit model that was previously developed to explain microwave-induced resistance oscillations.however the latter [33] presents a phase reversal of π. In this article we try to explain this apparent contradictory behavior based on

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“…

normalγ

Section: Theoretical Modelmentioning

confidence: 99%

X true(t true) = X_{0} + A \sin ω_{+} t + B \sin ω_{-} t

where the new frequencies are:

2 ω_{\pm}^{2} = true(ω^{2} + ω_{a c}^{2} true) \pm \sqrt{true(ω^{2} - ω_{a c}^{2} true) + 16 λ^{2} ω_{a c} ω}

ω

is the frequency of both, radiation and the driven‐Landau state mode.

ω_{a c}

is the frequency of the acoustic phonon mode and

normalλ

the plasmon–phonon coupling constant.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…With the expression of X ( t ) (Equation ) and according to the radiation‐driven electron orbit model, we obtain for the average distance advanced by the electron in a scattering event

\begin{array}{c} center & Δ X (t) = Δ X_{0} - e^{- \frac{γ}{2} τ} A [\sin ω_{+} τ + \sin ω_{-} τ] \\ center & = Δ X_{0} - 2 A e^{- \frac{γ}{2} τ} \sin ω τ \cos normalλ τ \end{array}

where we have used the well‐known expression:

\sin true(θ_{1} true) + \sin true(θ_{2} true) = 2 \sin true[\frac{θ_{1} + θ_{2}}{2} true] \cos true[\frac{θ_{1} - θ_{2}}{2} true]

and we have considered that

A ≃ B

and that

ω_{\pm} ≃ ω \pm λ

. The time,

τ

, according to the radiation driven electron orbit model, is the “flight time,” the time it takes the electron to jump due to scattering from one orbit to another and its value is given by

τ = \frac{2 π}{ω_{c}}

.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The time,

τ

, according to the radiation driven electron orbit model, is the “flight time,” the time it takes the electron to jump due to scattering from one orbit to another and its value is given by

τ = \frac{2 π}{ω_{c}}

. Finally and following the radiation‐driven electron orbit model we end up with an expression for R xx :

R_{x x} \propto Δ X_{0} - 2 A e^{- π \frac{γ}{w_{c}}} \sin true(2 π \frac{ω}{ω_{c}} true) \cos true(2 π \frac{λ}{ω_{c}} true)

…”

Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plasmon–Phonon Coupling in Radiation‐Induced Resistance Oscillations: Beating Pattern and Phase Reversal

Iñarrea

2019

Physica Status Solidi (b)

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show abstract

Beating pattern in radiation-induced oscillatory magnetoresistance in 2DES: Coupling of plasmon-like and acoustic phonon modes

Cited by 1 publication

References 58 publications

Plasmon–Phonon Coupling in Radiation‐Induced Resistance Oscillations: Beating Pattern and Phase Reversal

Plasmon–Phonon Coupling in Radiation‐Induced Resistance Oscillations: Beating Pattern and Phase Reversal

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