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We study analytically one-dimensional interacting spinless fermions in a Fibonacci potential. We show that the effects of the quasiperiodic modulation are intermediate between those of a commensurate potential and a disordered one. The…

Condensed Matter · Physics 2007-05-23 J. Vidal , D. Mouhanna , T. Giamarchi

With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 C. Di Castro , S. Caprara

The strange-metal phase of the cuprate high temperature superconductors, above where the superconductivity sets in as a function of temperature, is widely considered more exotic and mysterious than the superconductivity itself. Here, based…

Strongly Correlated Electrons · Physics 2015-09-08 T. J. Reber , X. Zhou , N. C. Plumb , S. Parham , J. A. Waugh , Y. Cao , Z. Sun , H. Li , Q. Wang , J. S. Wen , Z. J. Xu , G. Gu , Y. Yoshida , H. Eisaki , G. B. Arnold , D. S. Dessau

Fermi liquid theory is remarkably successful in describing the transport and optical properties of metals; at frequencies higher than the scattering rate, the optical conductivity adopts the well-known power law behavior $\sigma_1(\omega)…

Superconductivity · Physics 2013-12-17 C. C. Homes , J. J. Tu , J. Li , G. D. Gu , A. Akrap

We study a gated quantum wire contacted to source and drain electrodes in the Fabry-Perot regime. The wire is also coupled to a third terminal (tip), and we allow for an asymmetry of the tip tunneling amplitudes of right and left moving…

Strongly Correlated Electrons · Physics 2009-01-27 Stefano Pugnetti , Fabrizio Dolcini , Dario Bercioux , Hermann Grabert

We derive a general formalism for evaluating the high-frequency limit of the thermoelectric power of strongly correlated materials, which can be straightforwardly implemented in available first principles LDA+DMFT programs. We explore this…

Strongly Correlated Electrons · Physics 2015-05-27 Wenhu Xu , Cédric Weber , Gabriel Kotliar

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of electrons. We derive some general theorems about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Jiang Qian , Yaroslav Tserkovnyak , Bertrand I. Halperin

The dissipation induced by a metallic gate on the low-energy properties of interacting 1D electron liquids is studied. As function of the distance to the gate, or the electron density in the wire, the system undergoes a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Cazalilla , F. Sols , F. Guinea

We study a quantum phase transition which occurs in a system composed of two impurities (or quantum dots) each coupled to a different interacting (Luttinger-liquid) lead. While the impurities are coupled electrostatically, there is no…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Moshe Goldstein , Yuval Gefen , Richard Berkovits

Based on a recent proposal [O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)], we relate the quantum conductance through a sample in which electrons are strongly correlated to the persistent current of a large ring, composed of the sample and a…

Strongly Correlated Electrons · Physics 2009-11-07 Rafael A. Molina , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard

Phononless plasmon assisted transport through a long disordered array of finite length quantum wires is investigated analytically. Two temperature regimes, the low- and the high-temperature ones, with qualitatively different temperature…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. L. Chudnovskiy

We investigate the low-energy collective charge excitations (plasmons, holons) in metallic atomic wires deposited on semiconducting substrates. These systems are described by two-dimensional correlated models representing strongly…

Strongly Correlated Electrons · Physics 2020-06-24 Eric Jeckelmann

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

Strongly Correlated Electrons · Physics 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby

We establish a theoretical framework for artificial control of the power-law singularities in Tomonaga-Luttinger liquid states. The exponent governing the power-law behaviors is found to increase significantly with an increase in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hiroyuki Shima , Shota Ono , Hideo Yoshioka

We consider the problem of a single level quantum dot coupled to the edge of a one-dimensional Luttinger liquid wire by both a hopping term and electron-electron interactions. Using bosonization and Coulomb gas mapping of the Anderson-Yuval…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Yuval Weiss , Richard Berkovits

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

Strongly Correlated Electrons · Physics 2008-09-17 Kelly R. Patton

We consider the effect of electron-electron interaction on the electron transport through a finite length single-mode quantum wire with reflectionless contacts. The two-particle scattering events cannot alter the electric current and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Mathias Lunde , Karsten Flensberg , Leonid I. Glazman

We consider electrons in a quantum wire interacting via a long-range Coulomb potential screened by a nearby gate. We focus on the quantum phase transition from a strictly one-dimensional to a quasi-one-dimensional electron liquid, that is…

Mesoscale and Nanoscale Physics · Physics 2011-04-27 Tobias Meng , Mehul Dixit , Markus Garst , Julia S. Meyer

A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mohammad Mardaani , Keivan Esfarjani