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# Magnetotransport properties in purple bronze Li$$_{0.9}$$Mo$$_6$$O$$_{17}$$ Single Crystal

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### Abstract

We have measured resistivity along the a, b and c axes of Li$$_{0.9}$$Mo$$_6$$O$$_{17}$$ single crystal. The anisotropy $$\rho$$$_c$$/$$\rho_a$$and$$\rho_c$$/$$\rho_b$$is given, confirming the quasi-one-dimensionality of the compound. The sharp decrease in the anisotropy below a certain temperature (T$$_M$$) indicates dimensional crossover. Superconductivity occurs at 1.8 K well below$$T_M$$. Negative MRs are observed with magnetic field (H) applied along b axis. This could be ascribed to suppression of energy gap associated with CDW state. While large positive MR is observed with H$$\parallel$$c-axis. The MR data can be well fitted by a modified two-band model which has been used in CDW compounds such as quasi-two-dimensional purple bronzes A$$_{0.9}$$Mo$$_6$$O$$_{17}$$(A = K, Na, Tl) and quasi-one-dimensional conductor NbSe$$_3$$. The behavior of MR provides a strong evidence for the existence of CDW instability in$$Li_{0.9}Mo_6O_{17}$.

### Most cited references9

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### One-Dimensional Fermi liquids

(1995)
I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence and because of charge-spin separation. It is replaced by a Luttinger liquid whose elementary excitations are collective charge and spin modes, based on the exactly solvable Luttinger model. I review this model and various solutions with emphasis on bosonization (and its equivalence to conformal field theory), and its physical properties. The notion of a Luttinger liquid implies that all gapless 1D systems share these properties at low energies. Chapters 1 and 2 of the article contain an introduction and a discussion of the breakdown of Fermi liquid theory. Chapter 3 describes in detail the solution of the Luttinger model both by bosonization and by Green's functions methods and summarizes the properties of the model, expressed thorugh correlation functions. The relation to conformal field theory is discussed. Chapter 4 of the article introduces the notion of a Luttinger liquid. It describes in much detail the various mappings applied to realistic models of 1D correlated fermions, onto the Luttinger model, as well as important corrections to the Luttinger model properties discussed in Ch.3. Chapter 5 describes situations where the Luttinger liquid is not a stable fixed point, and where spin or charge gaps open in at least one channel. Chapter 6 discusses multi-band and multichain problems, in particular the stability of a Luttinger liquid with respect to interchain hopping. Ch. 7 gives a brief summary of experimental efforts to uncover Luttinger liquid correlations in quasi-1D materials.
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### One-Particle an Two-Particle Instability of Coupled Luttinger Liquids

(1994)
It is shown that the Luttinger liquid is unstable to arbitrarily small transverse hopping. It becomes either a Fermi liquid or exhibits long-range order at zero temperature. The crossover temperatures below which either transverse coherent band motion or long-range order start to develop can be finite even when spin and charge velocities differ. Explicit scaling relations for the one-particle and two-particle crossover temperatures are derived in terms of transverse hopping amplitude, spin and charge velocities as well as anomalous exponents. The special case of infinite-range transverse hopping can be treated exactly and yields a Fermi liquid down to zero temperature, unless the anomalous exponent $$\theta$$ is larger than unity.
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### Non-fermi-liquid single particle lineshape of the quasi-one-dimensional non-CDW metal Li_{0.9}Mo_{6}O_{17} : comparison to the Luttinger liquid

(1999)
We report the detailed non-Fermi liquid (NFL) lineshape of the dispersing excitation which defines the Fermi surface (FS) for quasi-one-dimensional Li_{0.9}Mo_{6}O_{17}. The properties of Li_{0.9}Mo_{6}O_{17} strongly suggest that the NFL behavior has a purely electronic origin. Relative to the theoretical Luttinger liquid lineshape, we identify significant similarities, but also important differences.
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### Author and article information

###### Journal
21 June 2009
0906.3855
10.1088/0953-8984/21/1/016004