Angle-dependent magnetoresistance oscillations due to magnetic breakdown orbits

Bangura, A. F.; Goddard, Paul; Singleton, John; Tozer, S. W.; Coldea, A. I.; Ardavan, Arzhang; McDonald, R. D.; Blundell, S. J.; Schlueter, John A.

doi:10.1103/physrevb.76.052510

Cited by 25 publications

(29 citation statements)

References 25 publications

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“…Superconducting crystals include large solvent crystals, and the superconducting transition temperature ZORINA et al increases with the solvent molecule size. These crystals exhibit Shubnikov-de Haas magnetic oscillations at one or two frequencies [20][21][22][23]. Superconductivity is often preceded by a complex temperature dependence of the electrical resistance with a broad minimum in the range 40-150 K in various phases [21,22].…”

Section: H 3 O[fe III (C 2 O 4 )mentioning

confidence: 99%

“…These crystals exhibit Shubnikov-de Haas magnetic oscillations at one or two frequencies [20][21][22][23]. Superconductivity is often preceded by a complex temperature dependence of the electrical resistance with a broad minimum in the range 40-150 K in various phases [21,22]. Below this temperature, the resistance increases slowly, which is related to partial charge localization [22], and the increase in the resistance is then changed by a sharp decrease in a superconducting state.…”

Section: H 3 O[fe III (C 2 O 4 )mentioning

confidence: 99%

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10.1007/s11447-008-2013-0

2010

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The β ''-(BEDT-TTF) 4 A I [M III (C 2 O 4 ) 3 ] · G (A I = , H 3 O + , K + , Rb + ; M III = Fe, Cr; G = "guest" solvent molecule) family of layered molecular conductors with magnetic metal oxalate anions exhibits a pronounced dependence of the conducting properties on the type of neutral solvent molecules introduced into the complex anion layer. A new organic dichlorobenzene (C 6 H 4 Cl 2 )-containing conductor of this family, namely, β ''-(BEDT-TTF) 4 H 3 O[Fe(C 2 O 4 ) 3 ] · C 6 H 4 Cl 2 , is synthesized. The structure of the synthesized single crystals studied by X-ray diffraction is characterized by the following parameters: a = 10.421(1) Å, b = 19.991(2) Å, c = 35.441(3) Å, β = 92.87(1) ° , V = 7374(1) Å 3 , space group C 2/ c , and Z = 4. In the temperature range 0.5-300 K, the conductivity of the crystals is metallic without changing into a superconducting state. The magnetotransport properties of the crystals are examined in magnetic fields up to 17 T at T = 0.5 K. In fields higher than 10 T, Shubnikov-de Haas oscillations are detected, and the Fourier spectrum of these oscillations contains two frequencies with maximum amplitudes of about 80 and 375 T. The experimental results are compared with the related data obtained for other phases of this family. The possible structural mechanisms of the effect of a guest solvent molecule on the transport properties of the β ''-(BEDT-TTF) 4 A I [M III (C 2 O 4 ) 3 ] · G crystals are analyzed.

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Section: H 3 O[fe III (C 2 O 4 )mentioning

confidence: 99%

Section: H 3 O[fe III (C 2 O 4 )mentioning

confidence: 99%

10.1007/s11447-008-2013-0

2010

CrossRef Listing of Deleted DOIs

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“…[8][9][10][11][12][13] and are observed in a number of organic conductors, [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] which possess Q1D parts in their Fermi surfaces ͑FSs͒. Note that, instead of maxima of resistivity due to electron-electron scattering, predicted in Ref.…”

Section: Introductionmentioning

confidence: 95%

Unification theory of angular magnetoresistance oscillations in quasi-one-dimensional conductors

Lebed

2010

Phys. Rev. B

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We present a unification theory of angular magnetoresistance oscillations, experimentally observed in quasione-dimensional organic conductors, by solving the Boltzmann kinetic equation in the extended Brillouin zone. We find that, at commensurate directions of a magnetic field, resistivity exhibits strong minima. In two limiting cases, our general solution reduces to the results, previously obtained for the Lebed Magic Angles and LeeNaughton-Lebed oscillations. We demonstrate that our theoretical results are in good qualitative and quantitative agreement with the existing measurements of resistivity in ͑TMTSF͒ 2 ClO 4 conductor.

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“…15,16. It is expected that this approach to summing all the contributions to the MB network model will open up new avenues in research on low-dimensional metals.…”

Section: (B)-(d) As Well As Many Other Intermediate Possibilities Inmentioning

confidence: 99%

“…In this Letter we describe a novel strategy to efficiently compute AMROs in a model system exhibiting MB which includes explicitly all these processes and we use it to show how different features in real data may arise. Our results are discussed in the context of recent experimental work [15] on the crystalline organic metal κ-(BEDT-TTF) 2 Cu(NCS) 2 which demonstrated that, at high field, breakdown AMROs (BAMROs) could be identified in exarXiv:0709.2827v1 [cond-mat.str-el] …”

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confidence: 99%

Effect of magnetic breakdown on angle-dependent magnetoresistance in a quasi-two-dimensional metal: An analytically solvable model

2008

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We have developed an analytical model of angle-dependent magnetoresistance oscillations (AMROs) in a quasi-two-dimensional metal in which magnetic breakdown occurs. The model takes account of all the contributions from quasiparticles undergoing both magnetic breakdown and Bragg reflection at each junction and allows extremely efficient simulation of data which can be compared with recent experimental results on the organic metal κ-(BEDT-TTF)2Cu(NCS)2. AMROs resulting from both closed and open orbits emerge naturally at low field, and the model enables the transition to breakdown-AMROs with increasing field to be described in detail.The measurement of angle-dependent magnetoresistance oscillations (AMROs) is a powerful technique in the determination of details of the Fermi surfaces (FSs) in various reduced-dimensionality metals [1,2,3,4]. In many cases the angle-dependence originates in correlations in the time-dependent interplanar velocity of quasiparticles which traverse the FS under the influence of the magnetic field B and hence can be efficiently simulated by integrating up such correlations for all quasiparticle trajectories [5,6,7,8,9,10,11]. In high B, the additional effect of magnetic breakdown (MB) can substantially complicate this picture. This effect occurs in the FSs of quasi-two-dimensional metals such as that illustrated in Fig. 1(a) which is described by the dispersion E(k) =h 2 (k 2 x + k 2 y )/2m * with effective mass m * , Fermi wave vector k F and Brillouin zone edges at k y = ±k F cos ξ. Because of the periodic potential, small gaps in the dispersion open up at the Brillouin zone edge, splitting the FS into distinct open and closed sections. Quasiparticles orbit around the FS with constant k z when B lies along the interlayer direction. In very low B, because of Bragg reflection, only open orbits [ Fig. 1(b)] and small closed orbits [ Fig. 1(c)] occur around the distinct sections of the FS. In high B, mixing between the states on the two FS sections leads to MB at the four filled points shown in Fig. 1(a) which we term MB junctions. At these junctions a quasiparticle "tunnels" in k-space between the FS sections [12], resulting in a single large closed orbit [ Fig. 1(d)].In fact for general values of the magnetic field there should be a superposition of all the orbits in Fig. 1(b)-(d) as well as many other intermediate possibilities in which MB occurs at some of the MB junctions and Bragg reflection occurs at the others. The probability p = exp(−B 0 /B) of MB at each MB junction is parameterized by B 0 , the characteristic breakdown field [12,13,14]. For all finite, non-zero values of B (for which 0 < p < 1) there is a hierarchy of complex trajectories that must be summed to account for all possible contributions to the conductivity in which MB either does or does not occur at each MB junction. If a quasiparticle crosses N MB junctions, one has to consider 2 N possible trajecto- ries with their correct probabilistic weightings, and this complicates a direct computation of AMROs since one has ...

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Angle-dependent magnetoresistance oscillations due to magnetic breakdown orbits

Cited by 25 publications

References 25 publications

10.1007/s11447-008-2013-0

10.1007/s11447-008-2013-0

Unification theory of angular magnetoresistance oscillations in quasi-one-dimensional conductors

Effect of magnetic breakdown on angle-dependent magnetoresistance in a quasi-two-dimensional metal: An analytically solvable model

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