Thermodynamic evidence of magnetic-field-induced complete valley polarization in bismuth

Iwasa, A.; Kondo, Akihiro; Kawachi, Shiro; Akiba, Kazuto; Nakanishi, Y.; Yoshizawa, Michito; Tokunaga, Masashi; Kindo, Koichi

doi:10.1038/s41598-018-38206-x

Cited by 14 publications

(5 citation statements)

References 38 publications

(65 reference statements)

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“…The measuring frequency is 50 kHz. Figure 5 shows the longitudinal magnetostriction in Bi for H || bisectrix axis at 1.4 K. A kink at 27 T and a sign-change at 39 T (marked by arrows) are clearly observed, which correspond to the quantum oscillation of the hole Landau subband and valley polarization, respectively, as discussed in [31]. This capacitance method an advantage over the strain gauge method because Joule heating is negligible during measurements.…”

Section: Magnetic Fieldsmentioning

confidence: 84%

Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields

Miyake,

Mitamura,

Kawachi

et al. 2020

Preprint

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We report on the development of a capacitance measuring system which allows measurements of capacitance in pulsed magnetic fields up to 61 T. By using this system, magnetic-field responses of various physical quantities such magnetostriction, magnetic-field-induced change in complex dielectric constant, and magneto-caloric effect can be investigated in pulsed-magnetic-field conditions. Here, we examine the validity of our system for investigations of these magnetic-field-induced phenomena in pulse magnets. For the magnetostriction measurement, magnetostriction of a specimen can be measured through a change in the capacitance between two aligned electrodes glued on the specimen and a dilatometer. We demonstrate a precise detection of valley polarization in semimetallic bismuth through a magnetostriction signal with a resolution better than 10 −6 of the relative length change. For the magnetic-field-induced change in complex dielectric constant, we successfully observed clear dielectric anomalies accompanied by magnetic/magnetoelectric phase transitions in multiferroic Pb(TiO)Cu 4 (PO 4 ) 4 . For the measurement of magneto-caloric effect, a magnetic-field-induced change in sample temperature was verified for Gd 3 Ga 5 O 12 with a capacitance thermometer made of a non-magnetic ferroelectric compound KTa 1−x Nb x O 3 (x = 0.02) whose capacitance is nearly field-independent. These results show that our capacitance measuring system is a promising tool to study various magnetic-field-induced phenomena which have been difficult to detect in pulsed magnetic fields.

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Section: Magnetic Fieldsmentioning

confidence: 84%

Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields

Miyake,

Mitamura,

Kawachi

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

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“…Thus, up to 28 T, the single-particle picture proved to be sufficient to explain the experimental data 36 . The same theoretical frame was then employed to explain how the evacuation of one or two electron pockets by a 40 T magnetic field, applied along the binary or the bisectrix axes, generates a sudden drop in magnetoresistance 39 and an anomaly in magnetization 40 .…”

Section: Introductionmentioning

confidence: 99%

High-field immiscibility of electrons belonging to adjacent twinned bismuth crystals

Ye,

Yamada,

Kinoshita

et al. 2024

npj Quantum Mater.

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Bulk bismuth has a complex Landau spectrum. The small effective masses and the large g-factors are anisotropic. The chemical potential drifts at high magnetic fields. Moreover, twin boundaries further complexify the interpretation of the data by producing extra anomalies in the extreme quantum limit. Here, we present a study of angle dependence of magnetoresistance up to 65 T in bismuth complemented with Nernst, ultrasound, and magneto-optic data. All observed anomalies can be explained in a single-particle picture of a sample consisting of two twinned crystals tilted by 108° and with two adjacent crystals keeping their own chemical potentials despite a shift between chemical potentials as large as 68 meV at 65 T. This implies an energy barrier between adjacent twinned crystals reminiscent of a metal- semiconductor Schottky barrier or a p-n junction. We argue that this barrier is built by accumulating charge carriers of opposite signs across a twin boundary.

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“…Recently, the strong-field orbital magnetism of Dirac electrons is attracting a considerable amount of interest both from the experimental and theoretical viewpoints accompanied by the progress in the field of topological material science [12][13][14][15][16][17]. The central issue is to clarify the field dependence of magnetization M of Dirac electrons.…”

Section: Introductionmentioning

confidence: 99%

Orbital magnetization of three-dimensional Dirac electrons in the quantum limit

Kawamura

Fuseya

2023

J. Phys.: Condens. Matter

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In this study, we evaluated the dependence of magnetization of three-dimensional Dirac electrons in the quantum limit on the magnetic ﬁeld and temperature. The magnetization was calculated by diﬀerentiating the free energy with respect to the magnetic ﬁeld. The ﬁeld and temperature dependence of the chemical potential were entirely considered under the canonical ensemble condition. The total magnetization M consisted of two contributions from the conduction Mc and valence Mv bands. Mv was insensitive to temperature and exhibited sub-linear ﬁeld dependence, which is consistent with the previous research on Dirac electrons. By contrast, Mc was sensitive to both temperature and magnetic ﬁeld, yielding a non-trivial contribution to the total M. As a result, the properties of total M changed at approximately kBT ≃ EF , where EFis the Fermi energy measured from the band bottom and kBis the Boltzmann constant. At low temperatures kBT ≲ EF , M exhibited sub-linear ﬁeld dependence, whereas M exhibited super-linear ﬁeld dependence at high temperatures kBT ≳ EF . This qualitative change in the ﬁeld dependence of M will play a signiﬁcant role in the magnetization of Dirac electrons with small EF .

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Thermodynamic evidence of magnetic-field-induced complete valley polarization in bismuth

Cited by 14 publications

References 38 publications

Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields

Capacitive detection of magnetostriction, dielectric constant, and magneto-caloric effects in pulsed magnetic fields

High-field immiscibility of electrons belonging to adjacent twinned bismuth crystals

Orbital magnetization of three-dimensional Dirac electrons in the quantum limit

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