Coherent magnetic breakdown

Kaganov, M.I.; Slutskin, A. A.

doi:10.1016/0370-1573(83)90006-6

Cited by 72 publications

(96 citation statements)

References 9 publications

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“…The tunneling between these contours lifts up the degeneracy of the Landau levels. The situation is very similar to that in coherent magnetic breakdown, 21 where tunneling between periodically situated closed orbits gives rise to the magnetic Landau bands. The Landau-level splitting caused by tunneling between the neighboring phase-space contours has been obtained analytically in Refs.…”

Section: Introductionsupporting

confidence: 56%

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Gvozdikov

1996

Phys. Rev. B

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The problem of the energy spectrum of a Bloch electron on a two-dimensional ͑2D͒ anisotropic lattice consisting of a set of parallel tightly correlated chains with an arbitrary dispersion along them is considered. The eigenvalue equation, generalizing the Harper one, is solved exactly in the low-flux limit on the basis of the Green's function technique in the site representation. The analogy between the Wannier-Stark ladder ͑WSL͒ and the Landau spectrum for a Bloch electron on a 2D anisotropic lattice is discussed, in particular, in the context of the gauge invariance of the WSL problem. In the case of a rational flux per unit cell, the density of states and the energy band structure of the above model are calculated exactly in terms of the Jacobi polynomials.

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Section: Introductionsupporting

confidence: 56%

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Gvozdikov

1996

Phys. Rev. B

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“…Now, in order to find the electron wave functions in the p x representation (which is needed to match the semiclassical solutions (2)) we have to perform the Fourier transformation (9). Taking into account that the main contribution to this integral with respect to κ ξ = p p y F 1/3 gives the semiclassical region ξ | |â a ¢ 1, we get a c d b Fig.…”

Section: Quantum Mechanical Treatment Of the Mb Regionsmentioning

confidence: 98%

Magnetic breakdown in an array of overlapping Fermi surfaces

Kadigrobov

Radić

Bjeliš

2015

Physica B: Condensed Matter

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“…Physically this is because of the small-angle scattering caused by phonons, dislocations and other types of the smooth random potential which does not affect oscillations through the Dingle factor, but cause the decoherence destroying the MB interference. 23 In particular, the effective amplitude ͉ eff ͉with respect of the above decoherence parameter ⌫ becomes…”

Section: ͑39͒mentioning

confidence: 99%

de Haas–van Alphen and chemical potential oscillations in the magnetic-breakdown quasi-two-dimensional organic conductorκ−(BEDT−TTF)2Cu(NCS)
Gvozdikov
¹
,
Jansen
²
,
Pesin
³

et al. 2004
Phys. Rev. B
16
2
6
0
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We present an analytical theory for the de Haas-van Alphen (dHvA) oscillations in layered organic conductors such as -͑BEDT-TTF͒ 2 Cu͑NCS͒ 2 which takes into account the magnetic breakdown and the chemical potential oscillations. For this purpose we have generalized our theory for the chemical potential oscillations in layered conductors [V.M. Gvozdikov, A.G.M. Jansen, D.I. Pesin, I.D. Vagner, and P. Wyder, Phys. Rev. B 68, 155107 (2003)] to the case of an arbitrary electron dispersion within the layers. Such an approach gives a better agreement with an experimental data for -͑BEDT-TTF͒ 2 Cu͑NCS͒ 2 salt than that taking account of the magnetic breakdown (MB) only [V.M. Gvozdikov, Yu.V. Pershin, E. Steep, A.G.M. Jansen, and P. Wyder, Phys. Rev. B 65, 165102 (2002)]. The magnetization oscillation patterns and the peaks in the fast Fourier transforms (FFT's) are studied in different combinations of the stochastic and coherent MB regimes with and without the chemical potential oscillations. It is shown that that the chemical potential oscillations in the coherent and stochastic MB regimes do not affect the ␣ and ␤ peaks, but change the amplitudes of the higher harmonics and satellites around the ␤ peak. In the FFT spectrum of -͑BEDT-TTF͒ 2 Cu͑NCS͒ 2 two satellites are resolved: ␤ − ␣ (the so called "forbidden" peak) and ␤ + ␣. In the stochastic MB regime all satellites are depressed. In the coherent MB regime with fixed chemical potential they are higher and have equal amplitudes. Only in the coherent MB regime with oscillating chemical potential the "forbidden" peak ␤ − ␣ becomes larger than the satellite ␤ + ␣ and the calculated FFT spectrum conforms with the FFT spectrum of the dHvA signal of -͑BEDT-TTF͒ 2 Cu͑NCS͒ 2 .

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Coherent magnetic breakdown

Cited by 72 publications

References 9 publications

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Magnetic breakdown in an array of overlapping Fermi surfaces

de Haas–van Alphen and chemical potential oscillations in the magnetic-breakdown quasi-two-dimensional organic conductorκ−(BEDT−TTF)2Cu(NCS)
Gvozdikov
¹
,
Jansen
²
,
Pesin
³

et al. 2004
Phys. Rev. B
16
2
6
0
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Coherent magnetic breakdown

Cited by 72 publications

References 9 publications

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Magnetic breakdown in an array of overlapping Fermi surfaces

de Haas–van Alphen and chemical potential oscillations in the magnetic-breakdown quasi-two-dimensional organic conductorκ−(BEDT−TTF)2Cu(NCS)Gvozdikov1, Jansen2, Pesin3 et al. 2004Phys. Rev. B16260View full textAdd to dashboardCite

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de Haas–van Alphen and chemical potential oscillations in the magnetic-breakdown quasi-two-dimensional organic conductorκ−(BEDT−TTF)2Cu(NCS)
Gvozdikov
¹
,
Jansen
²
,
Pesin
³

et al. 2004
Phys. Rev. B
16
2
6
0
View full text Add to dashboard Cite