Interfering electron quantum states in ultrapure magnesium

Stark, R. W.; Friedberg, C. B.

doi:10.1007/bf00654814

Cited by 70 publications

(47 citation statements)

References 11 publications

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“…It reproduces well the standard calculations of local tunnelling probabilities [2][3][4] in the regime of weak barriers in comparison with band corrugation (V<< t in our notation). The latter approach is not applicable in the intermediate regime (V ≈ t) and in the regime of strong barriers (V >> t) in which our results collected in Fig.…”

Section: Resultssupporting

confidence: 81%

“…2a we depict the dependence of the Floquet parameter δ on the inverse magnetic breakdown parameter 1/κ for few values of the ratio V/t, again compared with the corresponding result following from Refs. [2][3][4]. It is seen that the crossover from oscillating to saturating behaviour in δ coincides with the crossover from the weak (κ<1) to the strong (κ>1) magnetic breakdown only for weak enough anion potential (V < t).…”

Section: Discussionmentioning

confidence: 86%

“…[2][3][4] shown in Fig.1b. Obviously the latter approach ceases to be reliable in the regime V ≥ t. This figure also covers the analytically reachable regime of weak anion potential and strong magnetic field (ω c /t >> 1, V/t << 1) [9], which is however not reliable for relaxed (TMTSF) 2 In Fig.…”

Section: Discussionmentioning

confidence: 99%

“…Then one encounters the problem of magnetic breakdown of quasi-classical electron orbits through the barrier separating two Fermi surfaces. In the standard treatment [2,3] of this problem one constructs new electron states by including only the local tunnelling through the barrier at the Brillouin zone edges (transverse wave number close to π /2b). This approach is justified provided that the magnetic breakdown parameter κ ≡ ω c t/V 2 is (much) larger than unity [4].…”

Section: Motivationmentioning

confidence: 99%

See 3 more Smart Citations

Exact solution of the magnetic breakdown problem in quasi-one-dimensional geometry

Radić¹,

Bjeliš²,

Zanchi³

2004

J. Phys. IV France

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Abstract. We present exact solution of the problem of electronic wave functions of quasi one-dimensional band with an inter-band gap at the Fermi surface and in the presence of magnetic field. The details of the analyzed model are appropriate to the situation in the Bechgaard salt (TMTSF) 2 ClO 4 with the dimerizing anion order in the transverse direction. Limiting the effects of dimerization to the standard dimerization gap only, one obtains the electronic spectrum represented through solutions of a generalized Hill system of equations with simply periodic coefficients. The resulting wave-functions are discussed. In particular, we present the solutions for the case when the electrons spend as much time in the "junctions" as on their quasi-classical orbits. On the other hand, the limit when the tunnelling approach is valid is identified and the results are confronted with the well-known Slutskin-Kadigrobov solution. Furthermore, taking into account also the presumably finite transverse dimerizing displacements of chains, one encounters the qualitatively more complex problem of a system of equations with two-periodic coefficients. Some qualitatively new properties of electronic spectrum and corresponding one-electron physical quantities in this case will be discussed in detail.Key words. anion gap, magnetic breakdown MOTIVATIONThe field-induced spin density wave (FISDW) state and other physical properties of Bechgaard salts with one open Fermi surface are interpreted by the well-known concept of one-dimensionalization of open electron orbits in the plane perpendicular to the external magnetic field B [1]. However, in slowly cooled samples of (TMTSF) 2 ClO 4 with the orientational anion ordering the Brillouin zone is reduced due to a finite dimerization potential along the b-axis perpendicular to the chain direction, and the electron spectrum is split into two sub-bands. Then one encounters the problem of magnetic breakdown of quasi-classical electron orbits through the barrier separating two Fermi surfaces. In the standard treatment [2,3] of this problem one constructs new electron states by including only the local tunnelling through the barrier at the Brillouin zone edges (transverse wave number close to π /2b). This approach is justified provided that the magnetic breakdown parameter κ ≡ ω c t/V 2 is (much) larger than unity [4]. Here V is the potential generated by the anion ordering, t is transverse hopping integral, and ω c ≡ v F eBb/ћ is cyclotron frequency.For κ >>1 one has strong magnetic breakdown, i. e. the tunnelling probability exp (-1/κ) is large. Evidently this regime is possible only if V is weak with respect to t. However recent experimental [5] and theoretic [6,7] results suggest that V might be of the order or larger than t. In this case one cannot use the standard method of Refs. [2][3][4]. We introduce in the present paper an alternative exact approach, generally applicable to the problem of magnetic breakdown. EXACT APPROACHWe start from the basic one-electron Hamiltonian with the Peierls su...

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Section: Resultssupporting

confidence: 81%

Section: Discussionmentioning

confidence: 86%

Section: Discussionmentioning

confidence: 99%

Section: Motivationmentioning

confidence: 99%

See 2 more Smart Citations

Exact solution of the magnetic breakdown problem in quasi-one-dimensional geometry

Radić¹,

Bjeliš²,

Zanchi³

2004

J. Phys. IV France

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“…However there are two additional frequencies that at first sight can not be taken into account on the basis of the Fermi surface of Figure 9b. However, these frequencies can be understood from the viewpoint of the quantum interference model [25] as two-arm Stark interferometers [26] if one takes into account that F 2 » F 4 ±2F 1 and F 3 » F 4 ±F 1 . Thus, the interferometer connected with frequency F 3 consists of two routes, abcdaf and abef, and another interferometer, connected with the frequency F 2 , includes two cyclotron orbits, abcdaf and abebef (see Fig.…”

Section: Discussionmentioning

confidence: 99%

Step‐by‐Step Construction of the Electronic Structure of Molecular Conductors: Conceptual Aspects and Applications

Rousseau

Gener

Canadell³

2004

Adv Funct Materials

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A qualitative scheme that leads to the step‐by‐step construction of the band structure and Fermi surface of molecular conductors is developed based on a simple analytical treatment as well as some fundamental symmetry and overlap ideas and the concept of folding. This treatment is valuable in that it provides a detailed understanding of how the crystal and electronic structures of molecular conductors are related. Specifically, the proposed perspective clarifies how relatively weak structural changes can result in significant differences in the transport properties of these materials. Molecular conductors with donor layers of the β″‐type are used in order to illustrate the approach.

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Dual‐Layered Quasi‐Two‐Dimensional Organic Conductors with Presumable Incoherent Electron Transport

Lyubovskaya¹,

Zhilyaeva²,

Шилов³

et al. 2014

Eur J Inorg Chem

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We have prepared a series of BEDT‐TTF or BETS‐based radical‐cation salts (D)4MBr4(C6H6–nXn) with tetrahedral anions [MIIBr4]2– (D = BETS, BEDT‐TTF; X = F, Cl, Br; n = 1, 2). The salts (D)4MBr4(C6H6–nXn) are characterized by the different structures of neighboring conducting layers, structural phase transitions, and different types of conductivity, namely, metallic and semiconducting, along and across the conducting layers, respectively. The Fermi surface of the metallic layer of (D)4MBr4(C6H6–nXn) with alternating crystallographically different conducting layers (dual‐layered salts) provides a roadmap for interpreting the transport properties of quasi‐two‐dimensional organic conductors. This review reports on the structures of these compounds, the effect of MBr4 anions and solvent on the occurrence of phase transitions, different Fermi surface topologies in connection with the different structures of neighboring conducting layers, and the possibility of the incoherent transport of charge carriers in such systems.

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Interfering electron quantum states in ultrapure magnesium

Cited by 70 publications

References 11 publications

Exact solution of the magnetic breakdown problem in quasi-one-dimensional geometry

Exact solution of the magnetic breakdown problem in quasi-one-dimensional geometry

Step‐by‐Step Construction of the Electronic Structure of Molecular Conductors: Conceptual Aspects and Applications

Dual‐Layered Quasi‐Two‐Dimensional Organic Conductors with Presumable Incoherent Electron Transport

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