Zero-Differential Resistance State of Two-Dimensional Electron Systems in Strong Magnetic Fields

Быков, А. А.; Zhang, Jingqiao; Vitkalov, Sergey; Kalagin, A. K.; Bakarov, A. K.

doi:10.1103/physrevlett.99.116801

Cited by 86 publications

(117 citation statements)

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“…Owing to scattering of electrons between two populated 2D subbands, ZdRS in bilayer electron systems evolve from inverted MIS oscillations for relatively low DC and obey MIS oscillation periodicity. In contrast to both regimes of ZdRS in single-layer systems [16,17], ZdRS occur in the intermediate regime from overlapping to separated LLs (0.1 T< B <0.3 T). A theoretical consideration of magnetoresistance in DC-driven electronic bilayers shows that negative differential resistance (NDR) can be reached in our system, thereby supporting the domain model.…”

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“…Further, even a moderate DC causes a considerable decrease of the resistance [15], which in high-quality samples may lead to the zero differential resistance phenomenon. The zero-differential resistance states (ZdRS) found in single-layer systems emerge either from the inverted maxima of Shubnikov-de Haas (SdH) oscillations at relatively high magnetic fields [16] or from a minimum of HIROs [17]. In the second case ZdRS appears at low magnetic fields, before the onset of SdH oscillations, and extends over a continuous range of fields.…”

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confidence: 99%

“…A further increase in I DC leads to heating of the electron gas in the sample, therefore our studies at T =50 mK are limited to a maximal current of I max DC =20 µA. Since ZdRS in electronic bilayers occur neither at nearly discrete values of B [16] nor in a wide region of magnetic fields [17], and are separated by maxima in r xx , it is important to illustrate this phenomenon by sweeping I DC at a constant magnetic field, see Fig. 3.…”

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Evidence for zero-differential resistance states in electronic bilayers

Gusev

Wiedmann

Raichev³

et al. 2011

Phys. Rev. B

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We observe zero-differential resistance states at low temperatures and moderate direct currents in a bilayer electron system formed by a wide quantum well. Several regions of vanishing resistance evolve from the inverted peaks of magneto-intersubband oscillations as the current increases. The experiment, supported by a theoretical analysis, suggests that the origin of this phenomenon is based on instability of homogeneous current flow under conditions of negative differential resistivity which leads to formation of current domains in our sample, similar to the case of single-layer systems.PACS numbers: 73.43. Qt, 73.63.Hs, Studies of non-linear transport in high-quality twodimensional electron system (2DES) have revealed many interesting phenomena which occur in a perpendicular magnetic field at large filling factors. In the presence of AC excitation by microwaves, there exist microwaveinduced resistance oscillations (MIROs) [1] which obey the periodicity ω/ω c , where ω and ω c are the radiation frequency and the cyclotron frequency, respectively. The minima of these oscillations evolve into zero-resistance states (ZRS) for high electron mobility and elevated microwave power [2]. The MIROs have been found also in bilayer and trilayer electron systems [3], where they interfere with magneto-intersubband (MIS) oscillations [4] because of the presence of more than one populated subband. Recently, it has been demonstrated [5] that ZRS exist in bilayer systems despite of additional intersubband scattering. Stimulated by experimental findings, theorists have proposed several microscopic mechanisms which reasonably explain non-linear transport caused by microwave excitation [6][7][8][9].A direct current (DC) excitation of high-quality 2DES leads to another group of non-linear phenomena caused by Landau quantization and, therefore, distinct from electron heating effects observed under similar conditions in samples with lower mobilities. The Hall-field induced resistance oscillations (HIROs) are found in numerous experiments [10][11][12][13] and are explained [10,14] in terms of large-angle elastic scattering between Landau levels (LLs) tilted by the Hall field. Further, even a moderate DC causes a considerable decrease of the resistance [15], which in high-quality samples may lead to the zero differential resistance phenomenon. The zero-differential resistance states (ZdRS) found in single-layer systems emerge either from the inverted maxima of Shubnikov-de Haas (SdH) oscillations at relatively high magnetic fields [16] or from a minimum of HIROs [17]. In the second case ZdRS appears at low magnetic fields, before the onset of SdH oscillations, and extends over a continuous range of fields. The two seemingly different regimes, however, are explained within the same model assuming formation of current domains when the negative resistance conditions are reached and homogeneous current picture becomes unstable [18]. In order to learn more about the origin of ZdRS, clear understanding of the domain model is required. In thi...

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confidence: 96%

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confidence: 99%

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confidence: 99%

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Evidence for zero-differential resistance states in electronic bilayers

Gusev

Wiedmann

Raichev³

et al. 2011

Phys. Rev. B

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“…The most essential property of quantal heating is the conservation of the total number of quantum states participating in the electron transport and, thus, the conservation of the overall broadening of the electron distribution 2,3 . In contrast to classical Joule heating, quantal heating leads to outstanding nonlinear transport properties of highly mobile 2D electrons, driving them into exotic nonlinear states in which voltage (current) does not depend on current 4 (voltage) 5 . Quantal heating also provides significant contributions to nonlinear effects at high driving frequencies -an important topic in contemporary research 6 .…”

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Dynamics of quantal heating in electron systems with discrete spectra

et al. 2015

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“…Recently, the oscillatory behavior in the nonlinear magnetotransport has attracted much attention: in a 2D system even without irradiation, a relatively weak current can induce drastic suppression and strong oscillations of the differential magnetoresistance, and may result in a state of zero-differential resistance. 22,23,24,25,26 Several theoretical models have been proposed in an attempt to explain this interesting nonlinear phenomenon. 27,28,29,30 Numerical examinations based on the current-control transport scheme were shown in good agreement with the experimental observation for differential magnetoresistivity as a function of the ratio of the current density to the magnetic field in both the magnetic-field sweeping and the current-sweeping configurations covering both separated and overlapping Landau level regimes.…”

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Oscillatory nonlinear differential magnetoresistance of highly mobile 2D electrons in high Landau levels

Lei¹

2009

Physica E: Low-dimensional Systems and Nanostructures

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We examine the current-induced magnetoresistance oscillations in high-mobility two-dimensional electron systems using the balance-equation scheme for nonlinear magnetotransort. The reported analytical expressions for differential magnetoresistivity at high filling factors in the overlapping Landau-level regime, which show good agreement with the experimental observation and the numerical calculation, may be helpful in extracting physical information from experiments.In addition to the universally existing Shubnikov-de Haas oscillations (SdHO), many different kinds of magnetoresistance oscillations were discovered in the past few years in high-mobility two-dimensional (2D) electron systems (ES) subject to a weak perpendicular magnetic field and have become a field of great interest. These resistance oscillations always occur at low temperatures and are related to magnetotransport of 2D electrons occupying high Landau levels (LLs). Among them the microwave-induced magnetoresistance oscillations and the related zero-resistance states were the central focus of most experimental 1,2,3,4,5,6,7,8,9,10 and theoretical 11,12,13,14,15,16,17,18,19,20,21 studies. Recently, the oscillatory behavior in the nonlinear magnetotransport has attracted much attention: in a 2D system even without irradiation, a relatively weak current can induce drastic suppression and strong oscillations of the differential magnetoresistance, and may result in a state of zero-differential resistance. 22,23,24,25,26 Several theoretical models have been proposed in an attempt to explain this interesting nonlinear phenomenon. 27,28,29,30 Numerical examinations based on the current-control transport scheme were shown in good agreement with the experimental observation for differential magnetoresistivity as a function of the ratio of the current density to the magnetic field in both the magnetic-field sweeping and the current-sweeping configurations covering both separated and overlapping Landau level regimes. 27 It is reported recently that by a systematic analysis of current-induced magnetoresistance oscillations, important physical information about electron-electron interaction on the single particle life time can be extracted. 31 From the point of view of experiment, an analytical expression for differential magnetoresistivity, even applies only within limited ranges, is highly desirable because it can be of great help to extract important physical information from experimental data. So far, a reliable analytical expression derived from experimentally confirmed theoretical models is still lacking.We examine this issue based on the balance-equation scheme of nonlinear magnetotransport, 27 which deals with a 2D system consisting of N s electrons in a unit area of the x-y plane and subjected to a uniform magnetic field B = (0, 0, B) in the z direction. These electrons, scattered by randomly distributed impurities and by phonons in the lattice, perform an integrative drift motion under the influence of a uniform electric field E in the x-y plane. For h...

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Zero-Differential Resistance State of Two-Dimensional Electron Systems in Strong Magnetic Fields

Cited by 86 publications

References 27 publications

Evidence for zero-differential resistance states in electronic bilayers

Evidence for zero-differential resistance states in electronic bilayers

Dynamics of quantal heating in electron systems with discrete spectra

Oscillatory nonlinear differential magnetoresistance of highly mobile 2D electrons in high Landau levels

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