Coherent versus incoherent interlayer transport in layered metals

Wosnitza, J.; Hagel, J.; Qualls, J. S.; Brooks, J. S.; Balthes, E.; Schweitzer, Dieter; Schlueter, John A.; Geiser, U.; Mohtasham, J.; Winter, R.; Gard, Gary L.

doi:10.1103/physrevb.65.180506

Cited by 56 publications

(56 citation statements)

References 29 publications

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“…Recently, in some quasi-two-dimensional organic metals definitive signatures 8 of coherent interlayer transport have been seen. 9, 10 Lebed 11 predicted that resistance maxima would occur when orbits along directions in the crystal are commensurate with the applied field at the so-called "magic angles" (MA) where tan = lb / c, where is the angle between the magnetic field, tilted in the ͑y , z͒ plane, and the least conducting direction, z, b, and c are lattice constants, and l is an integer. The MA were later discovered, 12 but not as maxima but as dips in the angular dependence of the magnetoresistance.…”

Section: Introductionmentioning

confidence: 99%

Magic-angle effects in the interlayer magnetoresistance of quasi-one-dimensional metals due to interchain incoherence

Lundin

McKenzie

2004

Phys. Rev. B

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The dependence of the magnetoresistance of quasi-one-dimensional metals on the direction of the magnetic field show dips when the field is tilted at the so-called magic angles determined by the structural dimensions of the materials. There is currently no accepted explanation for these magic-angle effects. We present a possible explanation. Our model is based on the assumption that, the intralayer transport in the second most conducting direction has a small contribution from incoherent electrons. This incoherence is modeled by a small uncertainty in momentum perpendicular to the most conducting (chain) direction. Our model predicts the magic angles seen in interlayer transport measurements for different orientations of the field. We compare our results to predictions by other models and to experiment.

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Section: Introductionmentioning

confidence: 99%

Magic-angle effects in the interlayer magnetoresistance of quasi-one-dimensional metals due to interchain incoherence

Lundin

McKenzie

2004

Phys. Rev. B

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“…At t z ∼ ω c new qualitative features appear both in the monotonic and oscillating parts of MR. For example, the strong monotonic growth of interlayer MR R zz (B z ) was observed in various Q2D metals [26][27][28][29][30][31][32][33][34][35] and recently theoretically explained [35][36][37][38]. The oscillating part of interlayer MR at µ ≫ t z ω c acquires the slow oscillations [34,39] and the phase shift of beats.…”

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confidence: 99%

Slow Oscillations of In-plane Magnetoresistance in Strongly Anisotropic Quasi-Two-Dimensional Rare-Earth Tritellurides

et al. 2016

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Slow oscillations of the in-plane magnetoresistance are observed in the rare-earth tritellurides and proposed as an effective tool to determine the parameters of electronic structure in various strongly anisotropic quasi-two-dimensional compounds. These oscillations do not originate from the small Fermi surface pockets, as revealed usually by the Shubnikov-de-Haas oscillations, but from the entanglement of close frequencies due to a finite interlayer transfer integral tz, which allows to estimate its value. For TbTe3 and GdTe3 we obtain the estimate tz ≈ 1 meV.PACS numbers: 71.45. Lr,72.15.Gd,73.43.Qt,74.70.Kn, The angular and magnetic quantum oscillations (MQO) of magnetoresistance (MR) is a powerful tool to study electronic properties of various quasi-twodimensional (Q2D) layered metallic compounds, such as organic metals (see, e.g., Refs. [1-4] for reviews), cuprate and iron-based high-temperature superconductors (see, e.g., [5][6][7][8][9][10][11][12][13][14]The Fermi surface (FS) of Q2D metals is a cylinder with weak warping ∼ 4t z /E F ≪ 1, where t z is the interlayer transfer integral and E F = µ is the in-plane Fermi energy. The MQO with such FS have two close fundamental frequencies F 0 ± ∆F . In a magnetic field B = B z perpendicular to the conducting layers F 0 /B = µ/ ω c and ∆F/B = 2t z / ω c , where ω c = eB z /m * c is the separation between the Landau levels (LL).The standard 3D theory of galvanomagnetic properties [16][17][18] is valid only at t z ≫ ω c and in the lowest order in the parameter ω c /t z . This theory predicts several peculiarities of MR in Q2D metals: the angular magnetoresistance oscillations (AMRO) [19][20][21] and the beats of the amplitude of MQO [17]. One can even extract the fine details of the FS, such as its in-plane anisotropy [22] and its harmonic expansion, [23,24] from the angular dependence of MQO frequencies and from AMRO. For isotropic in-plane electron dispersion, AMRO can be described by the renormalization of the interlayer transfer integral: [25] where J 0 (x) is the Bessel's function, p F = k F is the in-plane Fermi momentum, and θ is the angle between magnetic field B and the normal to the conducting layers. At t z ∼ ω c new qualitative features appear both in the monotonic and oscillating parts of MR. For example, the strong monotonic growth of interlayer MR R zz (B z ) was observed in various Q2D metals [26][27][28][29][30][31][32][33][34][35] and recently theoretically explained [35][36][37][38]. The oscillating part of interlayer MR at µ ≫ t z ω c acquires the slow oscillations [34,39] and the phase shift of beats. [39,40] These two effects are missed by the standard 3D theory [16][17][18] because they appear in the higher orders in ω c /t z .The slow oscillations qualitatively originate from the product of the oscillations with two close frequencies F 0 ± ∆F , which gives the oscillations with frequency 2∆F . Conductivity, being a non-linear function of the oscillating electronic density of states (DoS) and of the diffusion coefficient, has slow oscillat...

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“…One possible way to test coherent transport across the graphite layers is given by the measurement of a maximum in the angle dependence of ρ c (θ) at magnetic fields parallel to the layers [24,25,26]. This peak should be absent for incoherent interlayer transport but observed if the inequality ω c τ > 1 holds, where ω c is the cyclotron frequency and τ the relaxation time of the carriers.…”

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Absence of metal–insulator transition and coherent interlayer transport in oriented graphite in parallel magnetic fields

Kempa

Semmelhack

Esquinazi

et al. 2003

Solid State Communications

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Measurements of the magnetoresistivity of graphite with a high degree of control of the angle between the sample and magnetic field indicate that the metal-insulator transition (MIT), shown to be induced by a magnetic field applied perpendicular to the layers, does not appear in parallel field orientation. Furthermore, we show that interlayer transport is coherent in less ordered samples and high magnetic fields, whereas appears to be incoherent in less disordered samples. Our results demonstrate the two-dimensionality of the electron system in ideal graphite samples. Recent experimental and theoretical studies of graphite have renewed the interest in this system [1,2,3,4,5,6,7,8,9,10]. Experimental results show that, contrary to the common belief, the transport and magnetic properties of graphite cannot be accounted for by semiclassical models. Experiment and theory raise a number of questions concerning the coupling between the graphite layers. The understanding of the transport properties is of primary interest and can provide a fundamental contribution to the physics of two-dimensional (2D) systems in general. In this letter we deal with two important open questions: 1. A MIT appears both in the in-plane [1,3,4] and out-of-plane [5] resistivity induced by a magnetic field B applied perpendicular to the graphite layers, i.e. B||c-axis. Based on magnetization data [2] and the found 2D scaling similar to that in the MIT of Si-MOSFETs (metal-oxide-semiconductor field-effecttransitor) [11], and Bi-films [13], the MIT in graphite has been

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Coherent versus incoherent interlayer transport in layered metals

Cited by 56 publications

References 29 publications

Magic-angle effects in the interlayer magnetoresistance of quasi-one-dimensional metals due to interchain incoherence

Magic-angle effects in the interlayer magnetoresistance of quasi-one-dimensional metals due to interchain incoherence

Slow Oscillations of In-plane Magnetoresistance in Strongly Anisotropic Quasi-Two-Dimensional Rare-Earth Tritellurides

Absence of metal–insulator transition and coherent interlayer transport in oriented graphite in parallel magnetic fields

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