Magnetoresistivity modulated response in bichromatic microwave irradiated two dimensional electron systems

Iñarrea, Jesús; Platero, Gloria

doi:10.1063/1.2364856

Cited by 44 publications

(52 citation statements)

References 37 publications

(31 reference statements)

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“…The radiation-driven electron orbits model, was developed to explain the magnetoresistance response to radiation of a 2DEG at low B 18,[26][27][28] . We first obtain an exact expression of the electronic wave vector for a 2DES in a perpendicular B and radiation.…”

Section: Theoretical Modelmentioning

confidence: 99%

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Radiation-induced resistance oscillations in a 2D hole gas: a demonstration of a universal effect

Iñarrea

Platero

2015

J. Phys.: Condens. Matter

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We report on a theoretical insight about the microwave-induced resistance oscillations and zero resistance states when dealing with p-type semiconductors and holes instead of electrons. We consider a high-mobility two-dimensional hole gas hosted in a pure Ge/SiGe quantum well. Similarly to electrons we obtain radiation-induce resistance oscillations and zero resistance states. We analytically deduce a universal expression for the irradiated magnetoresistance, explaining the origin of the minima positions and their 1/4 cycle phase shift. The outcome is that these phenomena are universal and only depend on radiation and cyclotron frequencies. We also study the possibility of having simultaneously two different carriers driven by radiation: light and heavy holes. As a result the calculated magnetoresistance reveals an interference profile due to the different effective masses of the two types of carriers.

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Section: Theoretical Modelmentioning

confidence: 99%

“…18, [26][27][28] we obtain a universal expression for irradiated R xx . According to it, MIRO only depend on radiation and cyclotron frequencies and not on the type of semiconductor material.…”

Section: Introductionmentioning

confidence: 99%

Radiation-induced resistance oscillations in a 2D hole gas: a demonstration of a universal effect

Iñarrea

Platero

2015

J. Phys.: Condens. Matter

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“…We extend a previous transport model for 2DES based in elastic scattering between Landau levels (LL) due to charged impurities [3,27]. This transport model was developed by the authors to deal with MIRO and ZRS [3,4,28,29]. We adapt this model to ultraclean samples, obtaining that the scattering conditions are strongly modified.…”

mentioning

confidence: 99%

“…-In our model of transport we basically follow the approach by Ridley [27] and calculate first the scattering suffered by the electrons due to charged impurities (elastic) applying time dependent first order perturbation theory. Thus, we calculate the scattering rate [3,28] between two Landau states (LS), the initial, n, and the final, m with the Fermi's Golden Rule:…”

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confidence: 99%

Theoretical model for negative giant magnetoresistance in ultrahigh-mobility 2D electron systems

Iñarrea¹

2014

EPL

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-We report on theoretical studies of the recently discovered negative giant magnetoresistance in ultraclean two-dimensional electron systems at low temperatures. We adapt a transport model to a ultraclean scenario and calculate the elastic scattering rate (electron-charged impurity) in a regime where the Landau level width is much smaller than the cyclotron energy. We obtain that for low magnetic fields the scattering rate and, as a consequence, the longitudinal magnetoresistance dramatically drop because of the small density of states between Landau levels. We also study the dependence of this striking effect on temperature and an in-plane magnetic field.

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“…-The radiation-driven electron orbits model, was proposed to study the magnetoresistance of a 2DES subjected to MW at low B and temperature, T [26,27,[46][47][48]. The total electronic hamiltonian H can be exactly solved and the solution for the total wave function of H [26,36,[46][47][48]reads: Ψ n (x, t) ∝ φ n (x − X 0 − x cl (t), t), where φ n is the solution for the Schrödinger equation of the unforced quantum harmonic oscillator. Thus, the obtained wave function (Landau state or Landau orbit) is the same as the one of the standard quantum harmonic oscillator where the guiding center of the Landau state, X 0 without radiation, is displaced by x cl (t).…”

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confidence: 99%

Evidence of radiation-driven Landau states in 2D electron systems: Magnetoresistance oscillations phase shift

Iñarrea¹

2016

EPL

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-We provide the ultimate explanation of one of the core features of microwave-induced magnetoresistance oscillations in high mobility two dimensional electron systems: the 1/4-cycle phase shift of minima. We start with the radiation-driven electron orbits model with the novel concept of scattering flight-time between Landau states. We calculate the extrema and nodes positions obtaining an exact coincidence with the experimental ones. The main finding is that the physical origin of the phase shift is a delay of π 2 of the radiation-driven Landau guiding center with respect to radiation, demonstrating the oscillating nature of the irradiated Landau states. We analyze the dependence of this minima on radiation frequency and power and its possible shift with the quality of the sample.Introduction. -Microwave-induced magnetoresistance (R xx ) oscillations (MIRO) [1,2], show up in high mobility two-dimensional electron systems (2DES) when they are irradiated with microwaves (MW) at low temperature (T ∼ 1K) and under low magnetic fields (B) perpendicular to the 2DES. At high enough MW power (P ) maxima and minima oscillations increase but the latter evolve into zero resistance states (ZRS) [1,2]. Both effects were totally unexpected when they were first obtained revealing some type of new radiation-matter interaction or coupling assisting electron magnetotransport [3][4][5]. Despite that over the last few years important experimental [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and theoretical efforts [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] have been made on MIRO and ZRS, their physical origin still remains controversial and far from reaching a definite consensus among the people devoted to this field. For instance, the two, in principle, accepted theoretical models explaining MIRO, (displacement [31] and inelastic [35] models) are under question in regards of recent (and even older) experimental results [43,44] that they are not able to explain. In fact, experimentalists on MIRO are calling for other theoretical approaches that might be more successful offering solid arguments on MIRO and ZRS physical origin [26,27,32].

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Magnetoresistivity modulated response in bichromatic microwave irradiated two dimensional electron systems

Cited by 44 publications

References 37 publications

Radiation-induced resistance oscillations in a 2D hole gas: a demonstration of a universal effect

Radiation-induced resistance oscillations in a 2D hole gas: a demonstration of a universal effect

Theoretical model for negative giant magnetoresistance in ultrahigh-mobility 2D electron systems

Evidence of radiation-driven Landau states in 2D electron systems: Magnetoresistance oscillations phase shift

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