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Related papers: Luttinger liquid behavior in multi-wall carbon nan…

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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

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

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

We derive the effective low-energy theory for single-wall carbon nanotubes including the Coulomb interactions among electrons. The generic model found here consists of two spin-1/2 fermion chains which are coupled by the interaction. We…

Strongly Correlated Electrons · Physics 2009-10-31 Reinhold Egger , Alexander O. Gogolin

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

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

Transport properties of metallic single-wall nanotubes are examined based on the Luttinger liquid theory. Focusing on a nanotube transistor setup, the linear conductance is computed from the Kubo formula using perturbation theory in the…

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

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

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

We report measurements of the temperature and gate voltage dependence for individual bundles (ropes) of single-walled nanotubes. When the conductance is less than about e^2/h at room temperature, it is found to decrease as an approximate…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 David H. Cobden , Jesper Nygard , Marc Bockrath , Paul L. McEuen

We develop a theory for the field emission effect in Luttinger liquids and single-wall carbon nanotubes at the level of the energy resolved current distribution. We generalise Fowler-Nordheim relations. Just below the Fermi edge, we find a…

Strongly Correlated Electrons · Physics 2009-11-07 Alexander O. Gogolin , Andrei Komnik

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 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 study the electrical transport properties of well-contacted ballistic single-walled carbon nanotubes in a three-terminal configuration at low temperatures. We observe signatures of strong electron-electron interactions: the conductance…

Mesoscale and Nanoscale Physics · Physics 2007-07-17 Na Young Kim , Patrik Recher , William D. Oliver , Yoshihisa Yamamoto , Jing Kong , Hongjie Dai

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

A low energy-theory for non-linear transport in finite-size single-wall carbon nanotubes, based on a microscopic model for the interacting pz electrons and successive bosonization, is presented. Due to the multiple degeneracy of the energy…

Strongly Correlated Electrons · Physics 2007-05-23 Leonhard Mayrhofer , Milena Grifoni

Electron interactions reinforce minigaps induced in metallic nanotubes by an external field and turn the gap field dependence into a universal power law. An exactly solvable Gross-Neveau model with an SU(4) symmetry is derived for neutral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. M. Tsvelik

The low-energy theory for single-wall carbon nanotubes including Coulomb interactions is derived and analyzed. It describes two fermion chains without interchain hopping but coupled in a specific way by the interaction. The strong-coupling…

Condensed Matter · Physics 2009-10-30 Reinhold Egger , Alexander O. Gogolin

Using bosonization we derive the dc conductance G(L,T) of an interacting quantum wire with good contacts including current relaxing backscattering and Umklapp processes. Our result yields the dependence of the conductance on length L and…

Strongly Correlated Electrons · Physics 2013-02-01 N. Sedlmayr , P. Adam , J. Sirker

We consider a one-dimensional electron system, suitable for the description of the electronic correlations in a metallic carbon nanotube. Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 S. Bellucci , J. Gonzalez
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