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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

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

Recently, ultra-small-diameter Single Wall Nano Tubes with diameter of $ \sim 0.4 nm$ have been produced and many unusual properties were observed, such as superconductivity, leading to a transition temperature $T_c\sim 15^oK$, much larger…

Superconductivity · Physics 2009-11-11 S. Bellucci , M. Cini , P. Onorato , E. Perfetto

Single-wall carbon nanotubes are almost ideal systems for the investigation of exotic many-body effects due to non-Fermi liquid behavior of interacting electrons in one dimension. Recent theoretical and experimental results are reviewed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Odintsov , H. Yoshioka

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 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

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

We show that a model of interacting electrons in one dimension is able to explain the order of magnitude as well as the temperature dependence of the critical supercurrents recently measured in nanotube samples placed between…

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

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

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 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

A new non-Fermi-liquid state of quasi-one-dimensional conductors is suggested in which electronic system exists in a form of collection of bounded Luttinger liquids stabilized by impurities. This state is shown to be stable towards…

Strongly Correlated Electrons · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov

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

A theoretical analysis of the superconductivity observed recently in Carbon nanotubes is proposed. We argue that ultra-small (diameter $ \sim 0.4 nm$) single wall carbon nanotubes (with transition temperature $T_c\sim 15 ^{o}K$) and…

Superconductivity · Physics 2009-11-11 S. Bellucci , M. Cini , P. Onorato , E. Perfetto

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 apply the bosonization technique to derive the phase diagram of a balanced unit density two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered interaction processes are of the usual contact and dipolar…

Strongly Correlated Electrons · Physics 2017-12-13 Serena Fazzini , Luca Barbiero , Arianna Montorsi

Carbon nanotube with electric fluxes confined in one dimension is studied. We show that a Coulomb interaction \propto |x| leads to a confinement phase with many properties similar to QCD in 4D. Low-energy physics is described by the massive…

Strongly Correlated Electrons · Physics 2023-03-07 Takashi Oka

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

We develop an rf circuit model for single walled carbon nanotubes for both dc and capacitively contacted geometries. By modeling the nanotube as a nano-transmission line with distributed kinetic and magnetic inductance as well as…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. J. Burke

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
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