Erratum: Magnetic Breakdown at High Fields: Semiclassical and Quantum Treatments [Phys. Rev. Lett. 85, 1500 (2000)]

Han, S. Y.; Brooks, Jordan; Kim, Ju H.

doi:10.1103/physrevlett.85.5011

Cited by 36 publications

(60 citation statements)

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“…Therefore, it is expected that the MFRTB method may describe MB phenomena in a similar way to the Hofstadter method. Although it is shown that MB phenomena can be described by the Hofstadter method, MB phenomena have not yet been discussed on the basis of magnetic energyband structure [19,[21][22][23][24][25][26][27][28]. In this paper, after confirming the revisitation of the MB through the MFRTB method, we reveal what kinds of magnetic energy bands are generated by the MB, and we describe how the MB oscillations are produced by such magnetic energy bands.…”

Section: Introductionmentioning

confidence: 71%

“…Besides this, the Hofstadter method [18] is utilized to describe MB oscillations [19][20][21][22][23][24][25][26][27][28]. It is found that the Hofstadter method can also describe the MB oscillations originating from forbidden orbitals [19][20][21][22][23][24][25][26]. Furthermore, the Hofstadter method is also applied to a honeycomb lattice system, in which the magnetic oscillation is shown to appear even though the area of the Fermi surface vanishes [28].…”

Section: Introductionmentioning

confidence: 99%

“…By means of the effective-mass approximation, it is shown that MB oscillations originating from so-called forbidden orbitals [4,[10][11][12][13][14][15][16][17] are related to the chemical potential oscillation [16,17]. Besides this, the Hofstadter method [18] is utilized to describe MB oscillations [19][20][21][22][23][24][25][26][27][28]. It is found that the Hofstadter method can also describe the MB oscillations originating from forbidden orbitals [19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Magnetic breakdown investigated by means of the magnetic-field-containing relativistic tight-binding approximation method

2017

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We investigate the magnetic breakdown (MB) phenomena by means of the recently proposed magnetic-fieldcontaining relativistic tight-binding approximation (MFRTB) method [Phys. Rev. B 91, 075122 (2015)]. In the MFRTB method, the MB phenomena can be described as the electron hopping between adjacent semiclassical orbits. It is shown that a set of magnetic energy bands is generated by the MB in the cluster that corresponds to the semiclassical energy level. It is also found that magnetic energy bands originating from the MB and those originating from the semiclassical orbit lying on the constant energy surface are hybridized to each other. Such hybridization leads to various subclusters that correspond to energy states of the so-called forbidden orbits. Magnetic oscillations related to the MB occur when the subcluster changes from the occupied state to unoccupied one and vice versa.

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Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetic breakdown investigated by means of the magnetic-field-containing relativistic tight-binding approximation method

2017

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“…Although the target system of the present work is a three-dimensional lattice, the MFRTB method is, of course, applicable to twodimensional model systems, for which the dHvA oscillations have been investigated theoretically [32][33][34][35][36][37][38][39] by using the Peierls substitution or the Peierls phase [40]. The next issue is the first-principles investigations of the dHvA oscillations not only for the two-dimensional model but also for the actual three-dimensional metals by means of the MFRTB method.…”

Section: Discussionmentioning

confidence: 99%

Calculation of magnetic oscillations via the magnetic-field-containing relativistic tight-binding approximation method: Revisiting the de Haas–van Alphen effect

Hamal

Higuchi

2015

Phys. Rev. B

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The magnetic-field-containing relativistic tight-binding approximation (MFRTB) method [Phys. Rev. B 91, 075122 (2015)] is the first-principles calculation method for electronic structures of materials immersed in the magnetic field. In this paper, the MFRTB method is applied to the simple cubic lattice immersed in the magnetic field. The total energy and magnetization oscillate with the inverse of the magnitude of the magnetic field, which means that the de Haas-van Alphen oscillation is revisited directly through the MFRTB method. It is shown that the conventional Lifshitz-Kosevich (LK) formula is a good approximation to the results of the MFRTB method in the experimentally available magnetic field. Furthermore, the additional oscillation peaks of the magnetization are found especially in the high magnetic field, which cannot be explained by the LK formula.

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“…It has been shown that there appear the quantum interference oscillations with the frequencies such as f β − f α and f β + f α in the magnetization when N is fixed in magnetic breakdown systems of the tightbinding electrons 4,5,7,14,15 , in the magnetic-breakdown systems treated semi-classically 6,11,12 , and in multiband systems [8][9][10]16 .…”

Section: Introductionmentioning

confidence: 99%

de Haas–van Alphen effect in two-dimensional and quasi-two-dimensional systems

Kishigi

Hasegawa

2002

Phys. Rev. B

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We study the de Haas-van Alphen (dHvA) oscillation in two-dimensional and quasi-two-dimensional systems. We give a general formula of the dHvA oscillation in two-dimensional multi-band systems. By using this formula, the dHvA oscillation and its temperature-dependence for the twoband system are shown. By introducing the interlayer hopping tz, we examine the crossover from the two-dimension, where the oscillation of the chemical potential plays an important role in the magnetization oscillation, to the three-dimension, where the oscillation of the chemical potential can be neglected as is well know as the Lifshitz and Kosevich formula. The crossover is seen at 4tz ∼ 8tabH/φ0, where a and b are lattice constants, φ0 is the flux quantum and 8t is the width of the total energy band. We also study the dHvA oscillation in quasi-two-dimensional magnetic breakdown systems. The quantum interference oscillations such as β-α oscillation as well as the fundamental oscillations are suppressed by the interlayer hopping tz, while the β+α oscillation gradually increases as tz increases and it has a maximum at tz/t ≈ 0.025. This interesting dependence on the dimensionality can be observed in the quasi-two-dimensional organic conductors with uniaxial pressure.

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Erratum: Magnetic Breakdown at High Fields: Semiclassical and Quantum Treatments [Phys. Rev. Lett. 85, 1500 (2000)]

Cited by 36 publications

References 0 publications

Magnetic breakdown investigated by means of the magnetic-field-containing relativistic tight-binding approximation method

Magnetic breakdown investigated by means of the magnetic-field-containing relativistic tight-binding approximation method

Calculation of magnetic oscillations via the magnetic-field-containing relativistic tight-binding approximation method: Revisiting the de Haas–van Alphen effect

de Haas–van Alphen effect in two-dimensional and quasi-two-dimensional systems

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