Hall effect of sliding condensate in Nb<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Se</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Tessema, G. X.; Ong, Nai Phuan

doi:10.1103/physrevb.23.5607

Cited by 49 publications

(12 citation statements)

References 15 publications

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“…In such a case, the sliding mode of CDW carries a nonlinear current along the ID direction, but no Hall current, so that the Hall conductivity does not show a nonlinearity. 24 This characteristic is common with the present observation.…”

Section: Non-ohmic Transport In the Field-induced Spin-density-wave Ssupporting

confidence: 91%

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
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A nonlinear transport behavior was observed in the magnetic-field-induced spin-density-wave state above B=1.5 T at r-1.5 K in (TMTSF)2C104. The nonlinearity appeared in the transverse conductivity, but not in the Hall conductivity. The threshold electric field was very small and undetectable in some samples. The sliding spin-density wave is one of the plausible mechanisms of this nonlinear transport. Small-period oscillations with the period A(\/B) =0.004 T -1 , similar to the Shubnikov-de Haas effect, showed a decrease in amplitude with increasing electric field.PACS numbers: 72.20.My, 75.30.Fv Many novel electronic properties have been found in the tetramethyltetraselenafulvalinium family of organic conductors, (TMTSF) 2 A r (A-=PF 6 , C10 4 , Re0 4 , etc.). Among them, the magnetic-field-induced spin-densitywave (MFISDW) phase transition is one of the most remarkable phenomena found in this system. 1 " 9 The spin-density-wave (SDW) state is stabilized by the orbital effect of magnetic fields, and the SDW state consists of many subsidiary phases (subphases). When a magnetic field is applied parallel to the c* axis of a slowly cooled (TMTSF) 2 C10 4 sample 3 " 8 [or (TMTSF) 2 -PF 6 , U (TMTSF) 2 Re0 4 9 under high pressure] at sufficiently low temperatures, the normal metallic phase undergoes a second-order phase transition into one of the SDW subphases at a certain threshold Z? t h, and several first-order phase transitions between different subphases occur successively above Z? t h-The mechanism of this phenomenon has been basically explained by various authors. 10 " 14 The electron system of (TMTSF)^ can be regarded as an anisotropic twodimensional (2D) electron gas with open Fermi surfaces. Under a magnetic field perpendicular to the 2D plane, electrons near the Fermi level carry out a periodic motion (wave vector G=eBblhe) along the open orbit (call it the x direction), and lose the degree of freedom of the motion perpendicular to this periodic motion (y direction). Consequently, the electron energy dispersion becomes one dimensional (ID) along the x direction. Because of the periodicity of the electron motion, the wave vector G plays a role of reciprocal-lattice vector in this ID dispersion. At sufficiently low temperatures, such a system is unstable against an infinitesimal periodic potential with the wave vector which connects two "Fermi points" in this ID dispersion. The x component Q x of the allowed nesting vectors is not only 2&F, but also 2k? + nG (n an integer), and the corresponding y component Q y is determined by the condition that the Fermi surface is tangent to itself when translated by Q. 10 This nesting vector Q is generally incommensurate with the lattice potential. Each nesting vector with different n corresponds to a different SDW subphase. In the «th subphase, the nesting vector Q opens an SDW gap at I k x | =kF + nG/2 in the ID dispersion, and further subsidiary gaps at | k x | =kY + mG/2 [m an integer (^n)] by the periodicity of the electron motion. These subsidiary gaps correspon...

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Section: Non-ohmic Transport In the Field-induced Spin-density-wave Ssupporting

confidence: 91%

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
View full text Add to dashboard Cite

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“…It was found in ref. [3] that the Hall constant R CDW is proportional to I −1 CDW and sharply decreases in electric fields above the threshold E T . This fact is not yet explained within the microscopic theory.…”

mentioning

confidence: 96%

“…The amplitude ∆ is equal to the gap width in the single-particle spectrum. Experimental investigations of the transverse CDW transport, and in particular of the Hall effect [2,3], have demonstrated that the 3D effects are also strongly affected by the nonlinear CDW transport current I CDW directed along the chains. It was found in ref.…”

mentioning

confidence: 99%

Highly selective four-wave mixing of low-intensity radiation in a degenerate two-level atomic system

Akulshin¹,

Barreiro²,

Lezama³

2000

Quantum Electron.

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We derive equations for the collective CDW-current transverse conducting chains in a quasi-one-dimensional CDW conductor. Generalized Fröhlich relations between the transverse currents and phase gradients are due to the polarization corrections to the 1 + 1 chiral anomaly Lagrangian. The CDW Hall constant RCDW is calculated, RCDW ∼ T 2 C /ICDW, where TC is the critical temperature of the Peierls transition, and ICDW is the nonlinear CDW current in the direction parallel to the conducting chains.The Quasi-One-Dimensional (Q1D) Charge Density Wave (CDW) conductors such as NbSe 3 , TaS 3 , K 0,3 MoO 3 etc. (see, for instance, ref.[1]) are characterized by a strongly anisotropic quasiparticle spectrum. As a result, their unusual transport properties are mostly pronounced in the direction parallel to the conducting chains. The theoretical studies of the CDW electrodynamics were mainly focused on the one-dimensional aspect. The response of a 1D CDW is described by the well-known Fröhlich relations [1]

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“…The influence of steady motion of a regular charge-density wave (not FISDW) on the Hall conductivity was studied theoretically in [69] and experimentally in [70,71,72]. In this case, there is no QHE contribution from the condensate, and the effect is primary determined by the thermally excited normal carriers.…”

Section: Influence Of the Fisdw Motion On The Quantum Hall Effectmentioning

confidence: 99%

Theory of the Quantum Hall Effect in Quasi-One-Dimensional Conductors

Yakovenko

2008

The Physics of Organic Superconductors and Conductors

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This Chapter reviews the theory of the quantum Hall effect (QHE) in quasione-dimensional (Q1D) conductors. It is primarily based on the author's papers [1,2,3,4]. The QHE in Q1D conductors is closely related to the magneticfield-induced spin-density wave (FISDW) observed in these materials. The theory of the FISDW is reviewed in this book by L. Gor'kov, by M. Héritier, by A. Lebed, and by S. Haddad et al. The FISDW experiment is reviewed by P. Chaikin et al. and by V. Pudalov and A. Kornilov.H B = β(h/e 2 )(2abB/φ 0 ) is small and not quantized. This is because, for any realistic B, the magnetic flux through the area 2ab per one carrier is much smaller that the flux quantum φ 0 = hc/e, so the Landau filling factor is very high, of the order of 10 2 -10 3 . Introduction to the quantum Hall effect in the FISDW stateWhen a strong magnetic field B is applied in the z direction perpendicular to the layers, the (TMTSF) 2 X materials experience a cascade of phase transitions between the so-called magnetic-field-induced spin-density-wave states. These are true thermodynamic phase transitions, observed in specific heat [13,14], magnetization [15], NMR [16], and virtually all other physical quantities [17,18]. A detailed theory of the FISDW is presented in other chapters of this book, as well as in the book [5] and in the review volume [19]. According to the theory [20,21,22,23], the electron spin density in the FISDW state develops spontaneous modulation with the wave vector

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Hall effect of sliding condensate in NbSe3

Cited by 49 publications

References 15 publications

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
View full text Add to dashboard Cite

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
View full text Add to dashboard Cite

Highly selective four-wave mixing of low-intensity radiation in a degenerate two-level atomic system

Theory of the Quantum Hall Effect in Quasi-One-Dimensional Conductors

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Hall effect of sliding condensate in NbSe3

Cited by 49 publications

References 15 publications

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4Osada1, Miura2, Oguro3 et al. 1987Phys. Rev. Lett.344111View full textAdd to dashboardCite

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4Osada1, Miura2, Oguro3 et al. 1987Phys. Rev. Lett.344111View full textAdd to dashboardCite

Highly selective four-wave mixing of low-intensity radiation in a degenerate two-level atomic system

Theory of the Quantum Hall Effect in Quasi-One-Dimensional Conductors

Contact Info

Product

Resources

About

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
View full text Add to dashboard Cite

Non-Ohmic transport in the field-induced spin-density-wave state in tetramethyltetraselenafulvalinium chlorate, (TMTSF)2ClO4
Osada
¹
,
Miura
²
,
Oguro
³

et al. 1987
Phys. Rev. Lett.
34
4
11
1
View full text Add to dashboard Cite