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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 calculate one-particle spectra for a variety of models of Luttinger liquids with open boundary conditions. For the repulsive Hubbard model the spectral weight close to the boundary is enhanced in a large energy range around the chemical…

Strongly Correlated Electrons · Physics 2009-10-31 K. Schoenhammer , V. Meden , W. Metzner , U. Schollwoeck , O. Gunnarsson

We derive and analyze the effective low-energy theory for interacting electrons in a cylindrical nanowire made of a strong topological insulator. Three different approaches provide a consistent picture for the band structure, where surface…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Egger , A. Zazunov , A. Levy Yeyati

For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic quantities on the one hand and single-particle excitations on the other. The functional is useful to derive several general…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Potthoff

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…

Condensed Matter · Physics 2009-10-22 Daniel Boies , C. Bourbonnais , A. -M. S. Tremblay

We investigate the physics of a Tomonaga-Luttinger liquid of spin-polarized fermions superimposed on an ion chain. This compound system features (attractive) long-range interspecies interactions. By means of density matrix renormalization…

Quantum Gases · Physics 2020-01-23 Andreas Bock Michelsen , Manuel Valiente , Nikolaj Zinner , Antonio Negretti

We study the local density of states (LDOS) in systems of Luttinger-liquid nanowires connected to a common mesoscopic superconducting island, in which Majorana bound states give rise to different types of topological Kondo effects. We show…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Erik Eriksson , Andrea Nava , Christophe Mora , Reinhold Egger

We investigate the low energy behavior of local density of states in metallic C$_{60}$ polymers theoretically. The multichannel bosonization method is applied to electronic band structures evaluated from first principles calculation, by…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Hideo Yoshioka , Hiroyuki Shima , Yusuke Noda , Shota Ono , Kaoru Ohno

Explicit predictions for Scanning Tunneling Microscopy (STM) on interacting one-dimensional electron systems are made using the Luttinger liquid formalism. The STM current changes with distance from an impurity or boundary in a…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert

Topological interfaces of two-dimensional conformal field theories contain information about symmetries of the theory and exhibit striking spectral and entanglement characteristics. While lattice realizations of these interfaces have been…

Strongly Correlated Electrons · Physics 2023-12-12 Ananda Roy , Hubert Saleur

Uniform-field effects for frustrated odd-leg integer-spin tubes (cylinder type spin systems) are investigated in the weak interchain-coupling regime. We predict that, as the field exceeds the spin gap, a two-component Tomonaga-Luttinger…

Strongly Correlated Electrons · Physics 2009-11-11 Masahiro Sato

We present a detailed theoretical investigation of transport through a single-walled carbon nanotube (SWNT) in good contact to metal leads where weak backscattering at the interfaces between SWNT and source and drain reservoirs gives rise…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Patrik Recher , Na Young Kim , Yoshihisa Yamamoto

Au-induced atomic wires on the Ge(001) surface were recently claimed to be an ideal 1D metal and their tunneling spectra were analyzed as the manifestation of a Tomonaga-Luttinger liquid (TLL) state. We reinvestigate this system for…

Strongly Correlated Electrons · Physics 2017-02-08 Jewook Park , Kan Nakatsuji , Tae-Hwan Kim , Sun Kyu Song , Fumio Komori , Han Woong Yeom

We discuss a platform for the synthetic realization of key physical properties of helical Tomonaga Luttinger liquids (HTLLs) with ultracold fermionic atoms in one-dimensional optical lattices. The HTLL is a strongly correlated metallic…

Quantum Gases · Physics 2015-12-17 J. C. Budich , C. Laflamme , F. Tschirsich , S. Montangero , P. Zoller

We test the analytical formula for the enhancement of the nuclear magnetic resonance rate $T_1^{-1}$ by the critical spin fluctuations, over the simple power-law dependence predicted for a purely one-dimensional spin system, recently…

Strongly Correlated Electrons · Physics 2020-07-01 Mladen Horvatić , Martin Klanjšek , Edmond Orignac

We argue that a simple way to bypass reflections at the boundaries of a finite Luttinger liquid (LL) connected to electrodes is to match load and drain impedances to the characteristic impedance of the LL viewed as a mesoscopic transmission…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. -V. Pham

Electronic standing waves with two different wavelengths were directly mapped near one end of a single-wall carbon nanotube as a function of the tip position and the sample bias voltage with highresolution position-resolved scanning…

Strongly Correlated Electrons · Physics 2009-11-10 Jhinhwan Lee , Sebastian Eggert , H. Kim , S. -J. Kahng , H. Shinohara , Y. Kuk

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Auslaender , A. Yacoby , R. de Picciotto , K. W. Baldwin , L. N. Pfeiffer , K. W. West

One-dimensional (1D) systems and models provide a versatile platform for emergent phenomena induced by strong electron correlation. In this work, we extend the newly developed real space neural network quantum Monte Carlo methods to study…

Strongly Correlated Electrons · Physics 2024-12-02 Haoxiang Chen , Weiluo Ren , Xiang Li , Ji Chen

While Landau's Fermi liquid theory provides the standard description for two- and three-dimensional (2D/3D) conductors, the physics of interacting one-dimensional (1D) conductors is governed by the distinct Luttinger liquid (LL) theory. Can…