Quantum transport theory of Weiss oscillations quenching of a two-dimensional electron gas in a strong periodic potential

Shi, Qinwei; Szeto, Kwok Yip

doi:10.1103/physrevb.53.12990

Cited by 11 publications

(18 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This does not influence our qualitatively understanding of the MMS in 1D strong modulation. We believe that the nice qualitative agreement between the theoretical predictions and experimental results 7 in 1D strong modulation of the EMS gives strong support to our theoretical results which describe the basic mechanism for the production and the quenching of the novel magnetoresistance oscillations.…”

supporting

confidence: 70%

“…However, our diagonalization is performed in Fourier space. 7 We find that in Fourier space the differences between the MMS and the EMS case are more transparent. Recently, we use this nonperturbative technique to discuss the dependence of magnetoresistance xx oscillations on the variable amplitude of 1D electric modulation, which gives good qualitative explanations of the quenching of the Weiss oscillations in a strong 1D periodic electric potential.…”

mentioning

confidence: 72%

“…In this paper, we study the transport properties of 2DEG's subjected to the variable amplitude of 1D magnetic modulation beyond the weak field regime using nonperturbative technique. We expect that behavior similar to the EMS case 7 can be found in the MMS case by increasing the strength of the modulation potential. Specifically, we expect to see that the amplitude of the Weiss oscillation initially increases with magnetic modulation and then quenches as the magnetic modulation becomes stronger.…”

Section: 2mentioning

confidence: 92%

“…Recently, we use this nonperturbative technique to discuss the dependence of magnetoresistance xx oscillations on the variable amplitude of 1D electric modulation, which gives good qualitative explanations of the quenching of the Weiss oscillations in a strong 1D periodic electric potential. 7 We also find that this nonperturbative quantum transport calculation is more suitable than the classical theory 9 which yields a good explanation of the Weiss oscillations in the weak 1D modulation but not for strong modulation. With the promising results of this nonperturbative technique for the 1D EMS case, we expect similar reliable results for our 1D MMS calculation.…”

mentioning

confidence: 98%

“…5 and 3 and to strong 1D EMS. 7 The first term in Eq. ͑10͒ describes the extended-state contribution that leads to Drude conductivity for freeelectron gas.…”

Section: Magnetoresistancementioning

confidence: 99%

See 4 more Smart Citations

Series of magnetoresistance oscillations of a two-dimensional electron gasin a strong periodic magnetic modulation

Shi

Szeto

1997

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

A nonperturbative technique is used to calculate the magnetoresistance of two-dimensional electron gases ͑2DEG͒ subjected to a spatially periodic magnetic field B 1 with period a in addition to a uniform magnetic field B 0 in the same direction. For small amplitude modulation, magnetoresistance exhibits oscillations similar to the Weiss oscillations observed in 2DEG under spatially periodic electric field and uniform magnetic field. In general, the oscillation is characterized by two ratios: ␤ϭ2l/a and ␥ϭB 1 /B 0 , at low magnetic modulations, with l being the magnetic length corresponding to B 0 . Quenching of Weiss oscillations first appears as ␥ increases for fixed B 0 , and a series of oscillations then appears in our nonperturbative calculation for larger ␥. The temperature dependence of these oscillations shows that the basic mechanism of the production of these oscillations is similar to the Weiss oscillations. ͓S0163-1829͑97͒06307-8͔

show abstract

supporting

confidence: 70%

mentioning

confidence: 72%

Section: 2mentioning

confidence: 92%

mentioning

confidence: 98%

“…5 and 3 and to strong 1D EMS. 7 The first term in Eq. ͑10͒ describes the extended-state contribution that leads to Drude conductivity for freeelectron gas.…”

Section: Magnetoresistancementioning

confidence: 99%

See 3 more Smart Citations

Series of magnetoresistance oscillations of a two-dimensional electron gasin a strong periodic magnetic modulation

Shi

Szeto

1997

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

show abstract

On the theory of magnetotransport in a periodically modulated two-dimensional electron gas

Zimbovskaya

2003

Solid State Communications

View full text Add to dashboard Cite

A semiclassical theory based on the Boltzmann transport equation for a two-dimensional electron gas modulated along one direction with weak electrostatic or magnetic modulations is proposed. It is shown that oscillations of the magnetoresistivity ρ || corresponding to the current driven along the modulation lines observed at moderately low magnetic fields, can be explained as classical geometric resonances reflecting the commensurability of the period of spatial modulations and the cyclotron radius of electrons.PACS numbers: 73.21 Cd; 73.40. -C Theoretical studies of magnetotransport properties of a two-dimensional electron gas (2DEG) spatially modulated along a certain direction due to periodic electrostatic or magnetostatic fields are lasting more than a decade. At present the theory of magnetotransport in modulated 2DEG is well developed and the most of effects observed in such systems at low magnetic fields have been explained both by quantum mechanical (in a semiclassical limit) [1,2,3,4,5,6,7] and classical [8,9,10,11,12] transport calculations, giving consistent results. One of a few exceptions is an effect of oscillations of the resistivity component ρ || which corresponds to the current driven in parallel with the lines of modulation. These oscillations were observed along with the commensurability oscillations of another resistivity component ρ ⊥ corresponding to the current driven across the modulation lines, and have the same period and a phase opposite to those of ρ ⊥ .The oscillations of ρ || had been immediately explained as an effect of a pure quantum nature which originates from the quantum oscillations of the electron density of states (DOS) in the applied magnetic field B [1, 3]. However, actual results obtained in these works [1,3] are not consistent with these conclusions. This can be easily demonstrated, basing on the results of Ref.[3] which are reproduced here (Fig.1). It is clearly seen in Fig.1 that both ρ ⊥ and ρ || exhibit oscillations of the same period at low (unquantizing) magnetic fields where quantum oscillations of DOS are not resolved, and only effects controlled with classical mechanisms could survive.It is very well known that periods of quantum oscillations and semiclassical commensurability oscillations (geometric resonance) are different. Their ratio equals 2π/λk F where λ is the space period of modulations, and k F is the Fermi wave vector of electrons [13]. Therefore, the observed coincidence on periods of the low-field Weiss oscillations of the resistivity component ρ ⊥ and the weaker anti-phase oscillations of ρ || gives an evidence that for both resistivity components these oscillations are geometric oscillations. Such oscillations arise in modulated 2DEG due to the periodic reproduction of commensura- bility between the diameters of electron cyclotron orbits and the period of applied modulations λ. Consequently, we can treat the low-field oscillations of ρ || as an effect basically following from classical mechanisms, and develop a theory of this effect based on Bolt...

show abstract

Plasmons and magnetoplasmons in semiconductor heterostructures

Kushwaha

2001

Surface Science Reports

185

109

View full text Add to dashboard Cite

Quantum transport theory of Weiss oscillations quenching of a two-dimensional electron gas in a strong periodic potential

Cited by 11 publications

References 13 publications

Series of magnetoresistance oscillations of a two-dimensional electron gasin a strong periodic magnetic modulation

Series of magnetoresistance oscillations of a two-dimensional electron gasin a strong periodic magnetic modulation

On the theory of magnetotransport in a periodically modulated two-dimensional electron gas

Plasmons and magnetoplasmons in semiconductor heterostructures

Contact Info

Product

Resources

About