Theory of microwave-induced zero-resistance states in two-dimensional electron systems

Mikhaǐlov, S. A.

doi:10.1103/physrevb.83.155303

Cited by 76 publications

(38 citation statements)

References 84 publications

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“…of electron associated with the SHO at site i on the n -th energy level is denoted as c ni () with ν the energy spacing between two adjacent levels (. And we follow the selection rule in the original irradiated 2DEG system in a magnetic field2054 by taking the inter-SHO-level transitions to be n ↔ n ± 1 for hopping to its nearest-neighbor sites with as hopping coefficient. And is the QED type Hamiltonian for the atom-photon interaction with the coupling constant .…”

Section: Resultsmentioning

confidence: 99%

“…According to experimental data12678910111213141516171819, the magneto-resistance of the two-dimensional semiconductor shows peculiar oscillation with the irradiation of microwave on the sample. Many theories have been proposed for the MIZR and MIRO in 2DEG620212223242526272829303132333435363738394041424344454647484950515253545556. Among these researches, the displacement model of the photon assisted impurity and phonon scatterings has been studied in many works, and several accomplishments have been achieved in these theories.…”

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confidence: 99%

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Dressed Photons Induced Resistance Oscillation and Zero Resistance in Arrayed Simple Harmonic Oscillators with No Impurity

Chang

Chen

Lin

2016

Sci Rep

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We investigate a system of an array of N simple harmonic oscillators (SHO) interacting with photons through QED interaction. As the energy of photon is around the spacing between SHO energy levels, energy gaps appear in the dispersion relation of the interacted (dressed) photons. This is quite different from the dispersion relation of free photons. Due to interactions between dressed photonic field and arrayed SHO, the photoresistance of this system shows oscillations and also drops to zero as irradiated by EM field of varying frequencies.

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Dressed Photons Induced Resistance Oscillation and Zero Resistance in Arrayed Simple Harmonic Oscillators with No Impurity

Chang

Chen

Lin

2016

Sci Rep

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“…Great experimental and theoretical efforts have been made to understand this phenomenon, yielding at present strikingly different explanations. While theories involving pondermotive forces near the contacts [4] or the effect of radiation on edge states [5] seem to be less likely in view of recent measurements [6], other theories, predicting the ZRS to be either homogeneous or inhomogeneous, constitute competing alternatives. The radiation-driven electron orbit model combines semiclassics with an exact solution of a quantum-harmonic-oscillator problem and explains the ZRS in terms wave-packet dynamics and Pauli exclusion principle [7].…”

Section: Introductionmentioning

confidence: 99%

Linear response of zero-resistance states

Breitkreiz

2017

New J. Phys.

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A two-dimensional electron system in the presence of a magnetic field and microwave irradiation can undergo a phase transition towards a zero-resistance state (ZRS). A widely used model predicts the ZRS to be a domain state, which responds to applied dc voltages or dc currents by slightly changing the domain structure. Here we propose an alternative response scenario, according to which the domain pattern remains unchanged. Surprisingly, a fixed domain pattern does not destroy zero-resistance, provided that the resistance is direction independent. Otherwise, if the symmetry of the domain pattern allows a direction dependence of the resistance, the domain state can be dissipative. We give examples for both situations and simulate the response behavior numerically.

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“…A number of theoretical mechanisms have been proposed to explain these oscillations and ZRS [4][5][6][7][8]. Still, by now the origin of the phenomenon is controversial.…”

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confidence: 95%

Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

Monarkha

2015

Phys. Rev. B

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We theoretically predict instability of a zero-dc-current state of the two-dimensional electron system formed on the surface of liquid helium induced by the cyclotron resonance (CR). This conclusion follows from the theoretical analysis of the dc magnetoconductivity which takes into account the contribution from radiation in an exact way. A many-electron model of the dynamic structure factor of the 2D Coulomb liquid is used to describe the influence of strong internal forces acting between electrons. For low electron densities and high amplitudes of the microwave field, the dc magnetoconductivity is shown to become negative in the vicinity of the CR which causes the instability. This effect is strongly suppressed by Coulomb forces in the region of high densities.Microwave-induced resistance oscillations and zeroresistance states (ZRS) observed in a two-dimensional (2D) electron gas subjected to a transverse magnetic field [1-3] represent a surprising discovery in condensed matter physics. A number of theoretical mechanisms have been proposed to explain these oscillations and ZRS [4][5][6][7][8]. Still, by now the origin of the phenomenon is controversial. A crucial result [9], independent of the details of the microscopic mechanism, is that the ZRS can be explained by an assumption that the longitudinal linear response conductivity σ xx is negative in appropriate ranges of the magnetic field B. In this case, a zero-current state is unstable and the system spontaneously develops a nonvanishing local current density.The above noted phenomena were observed in high-quality GaAs/AlGaAs heterostructures. There is another extremely clean 2D electron system formed on the surface of liquid helium which exhibits remarkable quantum magnetotransport phenomena [10] although it is a nondegenerate system of strongly interacting electrons. Since electron gas degeneracy is not a crucial point for some of the theoretical mechanisms explaining ZRS in semiconductor systems, these mechanisms potentially can be applied to surface electrons (SEs) on liquid helium as well. Complementary studies of these phenomena in the system of SEs on liquid helium could help with identification of the origin of ZRS observed in GaAs/AlGaAs heterostructures.It should be noted that another kind of magnetoconductivity oscillations and ZRS (zero-σ xx states to be exact) was already observed in the system of SEs on liquid helium [11,12] when the energy of excitation of the second surface subband ( 2 − 1 ) was tuned to the resonance with the microwave (MW) frequency. These phenomena were explained [13] by nonequilibrium population of the second surface subband which triggers quasielastic intersubband decay processes accompanied by electron scattering against or along the driving force, depending on the ratio ( 2 − 1 ) / ω c (here ω c is the cyclotron frequency). An important evidence for identification of the mechanism of oscillations and ZRS observed for SEs on liquid helium was recently found in studies of the Coulombic effect on positions of conductivity...

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Theory of microwave-induced zero-resistance states in two-dimensional electron systems

Cited by 76 publications

References 84 publications

Dressed Photons Induced Resistance Oscillation and Zero Resistance in Arrayed Simple Harmonic Oscillators with No Impurity

Dressed Photons Induced Resistance Oscillation and Zero Resistance in Arrayed Simple Harmonic Oscillators with No Impurity

Linear response of zero-resistance states

Cyclotron-resonance-induced negative dc conductivity in a two-dimensional electron system on liquid helium

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