Fragile three-dimensionality in the quasi-one-dimensional cuprate PrBa2Cu4O8

Narduzzo, Alessandro; Enayati-Rad, A; Heard, Peter J; Kearns, Stuart L.; Horii, Shigeru; Balakirev, Fedor; Hussey, N. E.

doi:10.1088/1367-2630/8/9/172

Cited by 15 publications

(13 citation statements)

References 37 publications

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“…Below 100 K, the electrical resistivity of Pr124 varies as ρ ~ T 2+ δ (0 ≤ δ < 1) in all three crystallographic directions (data for I// c not shown)13, consistent with expectations for a q1D FL with dominant electron-electron scattering17. The corresponding resistivity anisotropy ρ a : ρ b : ρ c ~ 300:1:1000 at low T 18. At higher temperatures, the T -dependence of ρ a ( T ) (and ρ c ( T )) changes from metallic to non-metallic, while ρ b ( T ) remains metallic and monotonic.…”

Section: Resultssupporting

confidence: 78%

“…One obvious measure of the degree of three-dimensionality in a q1D FL is the interchain hopping integral t ⊥ (For simplicity, we assume here that 2 t ⊥ is the same in both directions orthogonal to the conducting chains). As stated above, in Pr124, a consistent value of 2 t ⊥ ~ 5 meV has been obtained from a variety of studies1314182226. For Li 0.9 Mo 6 O 17 , band structure calculations suggest that 2 t ⊥ ~ 36 meV27, while the resistive anisotropy ( ρ a / ρ b ~ 0.5( t // / t ⊥ ) 2 ), combined with an estimate of the intrachain bandwidth t // from angle-resolved photoemission28, gives 2 t ⊥ ~ 15 meV.…”

Section: Discussionmentioning

confidence: 54%

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The Wiedemann-Franz law in the putative one-dimensional metallic phase of PrBa2Cu4O8

Bangura

Wakeham

et al. 2013

Sci Rep

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The nature of the electronic state of a metal depends strongly on its dimensionality. In a system of isolated conducting chains, the Fermi-liquid (quasiparticle) description appropriate for higher dimensions is replaced by the so-called Tomonaga-Luttinger liquid picture characterized by collective excitations of spin and charge. Temperature is often regarded as a viable tuning parameter between states of different dimensionality, but what happens once thermal broadening becomes comparable to the interchain hopping energy remains an unresolved issue, one that is central to many organic and inorganic conductors. Here we use the ratio of the thermal to electrical conductivities to probe the nature of the electronic state in PrBa 2 Cu 4 O 8 as a function of temperature. We find that despite the interchain transport becoming non-metallic, the charge carriers within the CuO chains appear to retain their quasiparticle nature. This implies that temperature alone cannot induce a crossover from Fermi-liquid to Tomonaga-Luttinger-liquid behaviour in quasi-one-dimensional metals. U nderstanding how the electronic state evolves in quasi-one-dimensional (q1D) metals as coupling between individual chains is strengthened or weakened, and determining the energy scale for the Fermi-liquid to Tomonaga-Luttinger liquid (FL-TLL) crossover, remain profound theoretical problems that are relevant to a host of organic and inorganic q1D conductors 1 . Temperature T is often regarded as a viable tuning parameter between states of different dimensionality in q1D metals. For k B T , 2t H , the interchain hopping integral, charge hops coherently in all three dimensions, albeit with anisotropic velocities. Once thermal broadening is comparable to the warping of the Fermi sheets however, hopping between chains is predicted to become incoherent, leading to a putative 3D-1D dimensional crossover 2 and contrasting behaviour in the intra-and inter-chain resistivities at high T. As a result, signatures of TLL physics are expected to emerge with increasing temperature 3 . In an alternative picture, it is argued that interchain coherence in a q1D FL is robust provided the intrachain scattering rate C , e F , the Fermi energy 4 . Accordingly, there is no dimensional crossover with increasing T, and by inference, no FL-TLL crossover at elevated temperatures -the crossover to non-metallic behaviour in the interchain resistivity being simply due to the emergence of a second, incoherent hopping process which shorts out the small, but nonetheless metallic component 4 . In order to address this outstanding issue experimentally, it is necessary to identify both a material whose anisotropic resistivity exhibits behaviour consistent with predictions for a thermally-induced dimensional crossover and a physical property that shows marked differences in the putative TLL and FL regimes. According to both theory and experiment, the Wiedemann-Franz (WF) law is a viable litmus test of TLL physics in the bulk. The WF law states that the ratio of the thermal k to the e...

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Section: Resultssupporting

confidence: 78%

Section: Discussionmentioning

confidence: 54%

The Wiedemann-Franz law in the putative one-dimensional metallic phase of PrBa2Cu4O8

Bangura

Wakeham

et al. 2013

Sci Rep

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“…Mg, the principal defect in our crystals, substitutes preferentially onto the chains due to its lack of pyramidal co-ordination. This is supported by electron probe microanalysis that indicates a close correspondence between ℓ 0 and the distance between Mg atoms [18]. Electron irradiation, by contrast, creates defects randomly.…”

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confidence: 75%

Irradiation-Induced Confinement in a Quasi-One-Dimensional Metal

Enayati-Rad

Narduzzo²,

Rullier‐Albenque³

et al. 2007

Phys. Rev. Lett.

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The anisotropic resistivity of PrBa2Cu4O8 has been measured as a function of electron irradiation fluence. Localization effects are observed for extremely small amounts of disorder corresponding to electron mean-free-paths of order 100 unit cells. Estimates of the localization corrections suggest that this anomalous localization threshold heralds a crossover to a ground state with pronounced one-dimensional character in which conduction electrons become confined to a small cluster of chains.Disorder-induced metal/insulator transitions (MIT) have been a dominant theme in solid state research for several decades yet many outstanding issues remain. In three-dimensional (3D) metals, metallic behavior is observed only for k F ℓ 0 (the product of the Fermi wave vector and the mean-free-path) > 1 [1]. The insulating state, characterized by a vanishing of σ 0 the dc conductivity at T = 0, occurs once the carrier concentration (∝ k F ), disorder potential (∝ 1/ℓ 0 ) or some other control parameter reach a critical value. Neither this nor the critical exponents at the transition however, are known precisely [2]. Scaling theory advocates no genuine metallic state in two dimensions [3] yet in 2D electron gases, a MIT is observed at the universal sheet resistance 2h/e 2 [4]. In strictly 1D systems, all electronic states are localized at T =0 in the presence of weak disorder [5]. In real materials with finite interchain coupling t ⊥ however, the situation is not so clear. Abrikosov and Ryzchkin claim that any finite t ⊥ stabilizes the metallic state [6] whilst Prigodin and Firsov (PF) argue that impurity scattering rates /τ 0 > t ⊥ render the system effectively 1D and therefore susceptible to localization at low T [7]. This controversy has never been resolved experimentally, due to the lack of quantitative studies of the MIT in quasi-1D conductors and the lack of systems of the appropriate dimensionality displaying low-T metallic behavior.Irradiation experiments are a reliable means of controllably changing the defect density in solids with the added advantage that transport properties can be measured insitu. In this Letter, we report a systematic study of the effects of electron irradiation on the anisotropic resistivity of the quasi-1D cuprate PrBa 2 Cu 4 O 8 (Pr124). Pr124 comprises a 1D network of zig-zag double chains (oriented along the b-axis) sandwiched between insulating CuO 2 bilayers (in the ab-plane). In clean Pr124, a highly anisotropic but nevertheless 3D metallic state develops at low T with ρ(T ) ∼ T 2 for (ρ a :ρ b :ρ c ∼ 1000:1:3000) [8,9]. With increasing irradiation, low-T upturns in ρ(T ) develop simultaneously for I a, b and c once k F ℓ 0 < 60. For I b (in-chain conductivity), these upturns are consistent with 1D inter-electron interference corrections of a magnitude that implies confinement of the charge carriers to a very small number of chains. A set of crystals (see Ref.[10] for growth details) of appropriate geometries were mounted in different contact configurations to ensure uniaxial current flow...

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“…The separation between contacts and the width of the sample was determined using a high-power optical microscope with an error of ∼7%. To measure the separation between contacts, we adopted the convention to measure the separation between the mid-point of the contacts for both the thermal and electrical measurements37. From these considerations, we associate an upper bound for the error in the final values of thermal conductivity of ±15% for the samples.…”

Section: Methodsmentioning

confidence: 99%

Gross violation of the Wiedemann–Franz law in a quasi-one-dimensional conductor

et al. 2011

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When charge carriers are spatially confined to one dimension, conventional Fermi-liquid theory breaks down. In such Tomonaga–Luttinger liquids, quasiparticles are replaced by distinct collective excitations of spin and charge that propagate independently with different velocities. Although evidence for spin–charge separation exists, no bulk low-energy probe has yet been able to distinguish successfully between Tomonaga–Luttinger and Fermi-liquid physics. Here we show experimentally that the ratio of the thermal and electrical Hall conductivities in the metallic phase of quasi-one-dimensional Li0.9Mo6O17 diverges with decreasing temperature, reaching a value five orders of magnitude larger than that found in conventional metals. Both the temperature dependence and magnitude of this ratio are consistent with Tomonaga–Luttinger liquid theory. Such a dramatic manifestation of spin–charge separation in a bulk three-dimensional solid offers a unique opportunity to explore how the fermionic quasiparticle picture recovers, and over what time scale, when coupling to a second or third dimension is restored.

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Fragile three-dimensionality in the quasi-one-dimensional cuprate PrBa₂Cu₄O₈

Cited by 15 publications

References 37 publications

The Wiedemann-Franz law in the putative one-dimensional metallic phase of PrBa2Cu4O8

The Wiedemann-Franz law in the putative one-dimensional metallic phase of PrBa2Cu4O8

Irradiation-Induced Confinement in a Quasi-One-Dimensional Metal

Gross violation of the Wiedemann–Franz law in a quasi-one-dimensional conductor

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