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Related papers: Narrow gap Luttinger liquid in Carbon nanotubes

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The low-energy theory for multi-wall carbon nanotubes including the long-ranged Coulomb interactions, internal screening effects, and single-electron hopping between graphite shells is derived and analyzed by bosonization methods.…

Strongly Correlated Electrons · Physics 2009-10-31 R. Egger

We develop a theoretical approach to the low-energy properties of 1D electron systems aimed to encompass the mixed features of Luttinger liquid and Coulomb blockade behavior observed in the crossover between the two regimes. For this aim we…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , J. Gonzalez , P. Onorato

We argue that long-range Coulomb forces convert an isolated (N,N) armchair carbon nanotube into a strongly-renormalized *Luttinger liquid*. At high temperatures, we find anomalous temperature dependences for the interaction and impurity…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Charlie Kane , Leon Balents , Matthew Fisher

Tomonaga-Luttinger-liquid theory is formulated for metallic carbon nanotubes with open boundaries. Both cases of single- and multi-wall nanotubes are discussed. Based on this theory, spatial variation of the charge density from an edge is…

Strongly Correlated Electrons · Physics 2015-06-24 H. Yoshioka , Y. Okamura

Coulomb interaction effects have pronounced consequences in carbon nanotubes due to their 1D nature. In particular, correlations imply the breakdown of Fermi liquid theory and typically lead to Luttinger liquid behavior characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Egger , A. Bachtold , M. Fuhrer , M. Bockrath , D. Cobden , P. McEuen

A periodic potential applied to a nanotube is shown to lock electrons into incompressible states that can form a devil's staircase. Electron interactions result in spectral gaps when the electron density (relative to a half-filled Carbon…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitry S. Novikov

An interacting one-dimensional (1D) electron system is predicted to behave very differently than its higher-dimensional counterparts. Coulomb interactions strongly modify the properties away from those of a Fermi liquid, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Bockrath , D. H. Cobden , J. Lu , A. G. Rinzler , R. E. Smalley , L. Balents , P. L. Mceuen

Carbon nanotubes provide a remarkably versatile system in which to explore the effects of Coulomb interactions in one dimension. The most dramatic effects of strong electron-electron repulsion are *orthogonality catastrophes*. These…

Strongly Correlated Electrons · Physics 2007-05-23 Leon Balents

The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal behavior is adiabatically connected to it are…

Strongly Correlated Electrons · Physics 2007-05-23 Cristina Bena , Smitha Vishveshwara , Leon Balents , Matthew P. A. Fisher

Fifty years ago Walter Kohn speculated that a zero-gap semiconductor might be unstable against the spontaneous generation of excitons---electron-hole pairs bound together by Coulomb attraction. The reconstructed ground state would then open…

Mesoscale and Nanoscale Physics · Physics 2017-11-16 Daniele Varsano , Sandro Sorella , Davide Sangalli , Matteo Barborini , Stefano Corni , Elisa Molinari , Massimo Rontani

We develop in this paper a theoretical framework that applies to the intermediate regime between the Coulomb blockade and the Luttinger liquid behavior in multi-walled carbon nanotubes. Our main goal is to confront the experimental…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , J. Gonzalez , P. Onorato , E. Perfetto

A Hubbard-Luttinger model is developed for qualitative description of one-dimensional motion of interacting Pi-conductivity-electrons in carbon single-wall nanotubes at low temperatures. The low-lying excitations in one-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 H. A. Ishkhanyan , V. P. Krainov

Luttinger liquid behavior was observed in a crossed junction formed with two metallic multi-wall carbon nanotubes whose differential conductance vanished with the power of bias voltage and temperature. With applying constant voltage or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jinhee Kim , Kicheon Kang , Jeong-O Lee , Kyung-Hwa Yoo , Jae-Ryoung Kim , Jong Wan Park , Hye Mi So , Ju-Jin Kim

Experimental and theoretical results for transport through crossed metallic single-wall nanotubes are presented. We observe a zero-bias anomaly in one tube which is suppressed by a current flowing through the other nanotube. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Gao , A. Komnik , R. Egger , D. C. Glattli , A. Bachtold

We study graphene-based electron systems with long-range Coulomb interaction by performing an analytic continuation in the number of dimensions. We characterize in this way the crossover between the marginal Fermi liquid behavior of a…

Strongly Correlated Electrons · Physics 2009-11-07 S. Bellucci , J. Gonzalez

Electron-electron interactions strongly affect the behavior of low-dimensional systems. In one dimension (1D), arbitrarily weak interactions qualitatively alter the ground state producing a Luttinger liquid (LL) which has now been observed…

Strongly Correlated Electrons · Physics 2007-10-04 Vikram V. Deshpande , Marc Bockrath

With the surge of research in quantum information, the issue of producing entangled states has gained prominence. Here, we show that judiciously bringing together two systems of strongly interacting electrons with vastly differing ground…

Strongly Correlated Electrons · Physics 2009-11-07 Cristina Bena , Smitha Vishveshwara , Leon Balents , Matthew P. A. Fisher

Transport through a metallic carbon nanotube is considered, where electrons are injected in the bulk by a scanning tunneling microscope tip. The charge current and noise are computed both in the absence and in the presence of one…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Crepieux , R. Guyon , P. Devillard , T. Martin

We study nonlinear transport for two coupled one-dimensional quantum wires or carbon nanotubes described by Luttinger liquid theory. Transport properties are shown to crucially depend on the contact length $L_c$. For a special interaction…

Strongly Correlated Electrons · Physics 2009-10-31 A. Komnik , R. Egger

We have measured IV-curves of multiwalled carbon nanotubes using end contacts. At low voltages, the tunneling conductance obeys non-Ohmic power law, which is predicted both by the Luttinger liquid and the environment-quantum-fluctuation…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 R. Tarkiainen , M. Ahlskog , J. Penttilä , L. Roschier , P. Hakonen , M. Paalanen , E. Sonin
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