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2009 METALS, SUPERCONDUCTORS...Coexist<strong>en</strong>ce of closed orbit and quantum interferometer with the same crosssection in the organic metal β”-(BEDT-TTF) 4 (H 3 O)[Fe(C 2 O 4 ) 3 ]·C 6 H 4 Cl 2The family of quasi-two-dim<strong>en</strong>sional charge transfer saltsβ”-(BEDT-TTF) 4 (A)[M(C 2 O 4 ) 3 ]Solv (where BEDT-TTFstands for bis-ethyl<strong>en</strong>edithio-tetrathiafulval<strong>en</strong>e, A is amonoval<strong>en</strong>t cation, M is a trival<strong>en</strong>t cation and Solv is asolv<strong>en</strong>t) have raised great interest in particular because ityielded, more than t<strong>en</strong> years ago, the first organic superconductorat ambi<strong>en</strong>t pressure with magnetic ions.due to the relatively narrow field range in which these latteroscillations can be observed (B > 20 T).The Lifshitzs-Kosevich formalism accounts for the fieldand temperature dep<strong>en</strong>d<strong>en</strong>ce of both the SdH and dHvAdata over all the explored range. However, a very weak thermaldamping of the Fourier compon<strong>en</strong>t F b , with the highestamplitude, is evid<strong>en</strong>ced for SdH spectra above about 6 K(see figure 95). As a result, magnetoresistance oscillationsare observed at temperatures higher than 30 K. Taking intoaccount the temperature dep<strong>en</strong>d<strong>en</strong>ce of the scattering rate,this feature, which is not observed for dHvA oscillations(recorded up to 15 K), is in line with the coexist<strong>en</strong>ce, at leastin the temperature range around 6 K, of a closed orbit b anda symmetric (i.e. with a zero effective mass) quantum interfer<strong>en</strong>cepath with the same area (keeping in mind that dHvAoscillations are only s<strong>en</strong>sitive to the d<strong>en</strong>sity of states). Thisresult, which cannot be interpreted in the framework of theFermi surface displayed in figure 94(d), points to a Fermisurface reconstruction in this compound. For details, see[Vignolles et al. Eur. Phys. J. B 71 203 (2009)].Figure 94: (a) Field-dep<strong>en</strong>d<strong>en</strong>t interlayer resistance ofβ”-(BEDT-TTF) 4 (H 3 O)[Fe(C 2 O 4 ) 3 ]·C 6 H 4 Cl 2 for θ = 0 ◦ (θ is theangle betwe<strong>en</strong> the field direction and the normal to the conductingplane). (b) Fourier analysis deduced from the oscillatory part ofthe magnetoresistance displayed in the inset. The field range is18-54 T. Marks are calculated with F a = 74 T and F b = 348 T. (c)Magnetic torque at θ = 29 ◦ . Corresponding Fourier analysis aredisplayed in the inset. The field range is 30-53.5 T and 38-53.5 Tbelow and above 9 K, respectively. (d) Textbook case of Fermisurface accounting for the frequ<strong>en</strong>cies a, b and b-a.Magnetoresistance and magnetic torque of the salt with A= H 3 O + , M = Fe 3+ and Solv = C 6 H 4 Cl 2 have be<strong>en</strong> investigatedin pulsed magnetic fields of up to 54 T. Shubnikov-deHaas (SdH) oscillations reveal three basic frequ<strong>en</strong>cies F a ,F b and F b−a , which, in line with band structure calculations,can be interpreted on the basis of three comp<strong>en</strong>sated closedorbits originating from a hole orbit with an area equal to thatof the first Brillouin zone (see figure 94). Only F a and F bare observed in de Haas-van Alph<strong>en</strong> (dHvA) spectra, likelyFigure 95: Temperature dep<strong>en</strong>d<strong>en</strong>ce of the amplitude of the boscillations for dHvA and SdH data. Empty and solid symbolscorrespond to a mean field value of 44.6 T and 30 T/cos(θ), respectively(θ is the angle betwe<strong>en</strong> the field direction and the normal tothe conducting plane). Solid lines are best fits of the Lifshitzs-Kosevichformula. A zero-effective mass and a temperature-dep<strong>en</strong>d<strong>en</strong>tscattering rate are considered for the SdH data in the hightemperature range.D. Vignolles, A. AudouardV.N. Laukhin, E. Canadell (ICMAB, Barcelona, Spain), E.B. Yagubskii (IPCP, Chernogolovka, Russian Federation)69

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