Giant Seebeck effect across the field-induced metal-insulator transition of InAs

Jaoui, Alexandre; Seyfarth, Gabriel; Rischau, Carl Willem; Wiedmann, Steffen; Benhabib, S.; Proust, Cyril; Behnia, Kamran; Fauqué, Benoît

doi:10.1038/s41535-020-00296-0

Cited by 13 publications

(14 citation statements)

References 47 publications

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“…If electron–phonon momentum exchange happens to be frequent, too, then an effect similar to the one observed here is expected. Possible candidates are Bi 2 Se 3 ( 49 ), InAs ( 50 ), PbTe ( 51 ), and their sister compounds. It is not surprising that the THE in metallic cuprates is not detectably amplified by phonon drag ( 3 ).…”

Section: Discussionmentioning

confidence: 99%

Phonon drag thermal Hall effect in metallic strontium titanate

Jiang

Fauqué

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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SrTiO 3 , a quantum paralectric, displays a detectable phonon thermal Hall effect (THE). Here, we show that the amplitude of the THE is extremely sensitive to stoichiometry. It drastically decreases upon substitution of a tiny fraction of Sr atoms with Ca, which stabilizes the ferroelectric order. It drastically increases by an even lower density of oxygen vacancies, which turn the system to a dilute metal. The enhancement in the metallic state exceeds by far the sum of the electronic and the phononic contributions. We explain this observation as an outcome of three features: 1) Heat is mostly transported by phonons; 2) the electronic Hall angle is extremely large; and 3) there is substantial momentum exchange between electrons and phonons. Starting from Herring’s picture of phonon drag, we arrive to a quantitative account of the enhanced THE. Thus, phonon drag, hitherto detected as an amplifier of thermoelectric coefficients, can generate a purely thermal transverse response in a dilute metal with a large Hall angle. Our results reveal a hitherto-unknown consequence of momentum-conserving collisions between electrons and phonons.

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Section: Discussionmentioning

confidence: 99%

Phonon drag thermal Hall effect in metallic strontium titanate

Jiang

Fauqué

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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“…In contrast, should one manage to fabricate a sample, where the momentum-conserving electronelectron interaction were the dominant scattering process, the macroscopic flow of electrons would be hydrodynamic [8][9][10]. Envisioned by Gurzhi [10] long time ago, this idea got traction only with the emergence of ultra-pure materials [11][12][13][14][15][16][17][18][19][20]. Yet, while it has been established that transport properties of such systems deviate significantly from the traditional expectation [5], the 'hydrodynamic' interpretation of the observed results may still be considered as controversial.…”

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confidence: 99%

Vorticity of viscous electronic flow in graphene

Danz

Narozhny

2020

2D Mater.

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In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature superconductivity. Yet the definitive detection of this intriguing behavior remains elusive. Until recently, experimental techniques for observing hydrodynamic behavior in solids were based on measuring macroscopic transport properties, such as the "nonlocal" (or "vicinity") resistance, which may allow alternative interpretation. Earlier this year two breakthrough experiments demonstrated two distinct imaging techniques making it possible to "observe" the electronic flow directly. We demonstrate that a hydrodynamic flow in a long Hall bar (in the absence of magnetic field) exhibits a nontrivial vortex structure accompanied by a sign-alternating nonlocal resistance. An experimental observation of such unique flow pattern could serve a definitive proof of electronic hydrodynamics.Traditional fluid mechanics 1 describes long-distance properties of conventional (e.g., water, oil, etc.) and quantum (e.g., 3 He) fluids equally well 2,3 . The key feature uniting these diverse many body systems is the short-ranged or collision-like nature of interactions between the constituent particles that conserve momentum. In the simplest case of a dilute gas (e.g., air) the hydrodynamic equations can be derived from the kinetic theory 4 . The resulting theory is however more general than the derivation: the hydrodynamic equations provide a universal description applicable to any system within the same symmetry class.The usual theory of the electron transport in solids also relies on the kinetic theory 5 , but with momentumrelaxing scattering processes typically dominating over the momentum-conserving electron-electron interaction. Unlike the conventional fluids, electrons in solids exist in the environment created by a crystal lattice where scattering off either lattice imperfections (or "disorder") or lattice vibrations ("phonons") does not conserve momentum. At length scales exceeding the mean free path dis (or e−ph ) the electrons exhibit diffusive motion 2,5 . In relatively small, mesoscopic samples of the size smaller than (or comparable to) the mean free path, L dis , e−ph , the electrons can cross the sample ballistically 6,7 .In contrast, should one manage to fabricate a sample, where the momentum-conserving electron-electron interaction were the dominant scattering process, the macroscopic flow of electrons would be hydrodynamic 8-10 . Envisioned by Gurzhi 10 long time ago, this idea got traction only with the emergence of ultra-pure materials 11-20 . Yet, while it has been established that transport properties of such systems deviate significantly from the traditional expectation 5 , the "hydrodynamic" interpretation of the observed results may still be considered as controversial. In particular, the nonlocal resistance (a tool often used to uncover hydrodynamic transport 14,15,20 ) has ...

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“…High magnetic field measurement has been done at LNCMI-Toulouse. Thermoelectrical and thermal transport measurements has been done using a standard two-thermoemeters one-heater set up similar to one used in 13 . Further experimental details can be found in 31 .…”

Section: Methodsmentioning

confidence: 99%

“…So far, the behavior of 3DEGs beyond their quantum limit has been explored in a limited number of low carrier density systems. Yet, different instabilities have been detected, such as a thermodynamic phase transition in graphite 5-8 , a valley depopulation phase in bismuth 9,10 , and a metal-insulator transition (MIT) in narrow-gap doped semi-conductors InSb 11 and InAs 12,13 . The latter occurs when charge carriers are confined in the lowest spin-polarised Landau level -the ultra-quantum limit.…”

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confidence: 99%

Magnetic freeze-out and anomalous Hall effect in ZrTe$_5$

Gourgout¹,

Leroux²,

Smirr³

et al. 2022

Preprint

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The ultra-quantum limit is achieved when a magnetic field confines an electron gas in its lowest spin-polarised Landau level. Here we show that in this limit, electron doped ZrTe 5 shows a metal-insulator transition followed by a sign change of the Hall and Seebeck effects at low temperature. We attribute this transition to a magnetic freeze-out of charge carriers on the ionised impurities. The reduction of the charge carrier density gives way to an anomalous Hall response of the spin-polarised electrons. This behaviour, at odds with the usual magnetic freeze-out scenario, occurs in this Dirac metal because of its tiny Fermi energy, extremely narrow band gap and a large g-factor. We discuss the different possible sources (intrinsic or extrinsic) for this anomalous Hall contribution. I. IntroductionIn the presence of a magnetic field, the electronic spectrum of a three-dimensional electron gas (3DEG) is quantized into Landau levels. When all the charge carriers are confined in the lowest a

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Giant Seebeck effect across the field-induced metal-insulator transition of InAs

Cited by 13 publications

References 47 publications

Phonon drag thermal Hall effect in metallic strontium titanate

Phonon drag thermal Hall effect in metallic strontium titanate

Vorticity of viscous electronic flow in graphene

Magnetic freeze-out and anomalous Hall effect in ZrTe$_5$

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