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We explore the weak-strong-coupling Bose-Fermi duality in a model of a single-channel integer or fractional quantum Hall edge state with a finite-range interaction. The system is described by a chiral Luttinger liquid with non-linear…

Strongly Correlated Electrons · Physics 2015-05-13 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in…

Strongly Correlated Electrons · Physics 2009-10-31 Enrico Arrigoni

We explore the effect of local constraints on one-dimensional bosonic and fermionic ground state phases. Motivated by recent experiments on Rydberg chains, we constrain the occupation of neighboring sites in known phases of matter. Starting…

Strongly Correlated Electrons · Physics 2019-03-25 Ruben Verresen , Ashvin Vishwanath , Frank Pollmann

We use bosonization methods to calculate the exact finite-temperature single-electron Green's function of a spinful Luttinger liquid confined by open boundaries. The corresponding local spectral density is constructed and analyzed in…

Strongly Correlated Electrons · Physics 2009-10-30 Ann E. Mattsson , Sebastian Eggert , Henrik Johannesson

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

The ground state and structure of a one-dimensional Bose gas with dipolar repulsions is investigated at zero temperature by a combined Reptation Quantum Monte Carlo (RQMC) and bosonization approach. A non trivial Luttinger-liquid behavior…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac , S. De Palo , M. -L. Chiofalo

Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse…

Statistical Mechanics · Physics 2009-10-31 Herbert Spohn

A perturbative way to investigate superfluid properties of various systems under nonuniform potential is presented. We derive the perturbation expansion of the superfluid fraction, which indicates how liquid exhibits nonclassical rotational…

Quantum Gases · Physics 2016-12-21 Shinji Koshida , Yusuke Kato

We calculate the single-particle Green's function of electrons that are coupled to acoustic phonons by means of higher dimensional bosonization. This non-perturbative method is {\it{not}} based on the assumption that the electronic system…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

We study several aspects of the structure of vortices in conventional s-wave Type $II$ superconductors. It is well-known that there are low energy quasiparticles bound to the core of a vortex. We show that under certain conditions, these…

Superconductivity · Physics 2021-05-26 Ashvin Vishwanath , T. Senthil

Fundamental considerations predict that macroscopic quantum systems such as superfluids and the electrons in superconductors will exhibit oscillatory motion when pushed through a small constriction. Here we report the observation of these…

Superconductivity · Physics 2007-05-23 E. Hoskinson , R. E. Packard

Recent experiments of fluid transport in nano-channels have shown evidence of a coupling between charge-fluctuations in polar fluids and electronic excitations in graphene solids, which may lead to a significant reduction of friction a…

Mesoscale and Nanoscale Physics · Physics 2025-03-30 S. Succi , M. Lauricella , A. Tiribocchi

Motivated by recent scanning tunneling and photoemission spectroscopy measurements on self-organized gold chains on a germanium surface we reinvestigate the local single-particle spectral properties of Luttinger liquids. In the first part…

Strongly Correlated Electrons · Physics 2012-12-07 D. Schuricht , S. Andergassen , V. Meden

We show that the resonant interactions between phonons in one dimension may be treated consistently within Quantum Hydrodynamics by the introduction of phonon dispersion. In this way the physics of a nonlinear Luttinger liquid may be…

Quantum Gases · Physics 2014-12-24 Tom Price , Austen Lamacraft

Using higher-dimensional bosonization, we study correlation functions of fermions with singular forward scattering. Following Bares and Wen [Phys. Rev. B 48, 8636 (1993)], we consider density-density interactions in d dimensions that…

Strongly Correlated Electrons · Physics 2009-10-31 Lorenz Bartosch , Peter Kopietz

The low-energy fluctuations of a trapped, interacting quasi one-dimensional Bose gas are studied. Our considerations apply to experiments with highly anisotropic traps. We show that under suitable experimental conditions the system can be…

Condensed Matter · Physics 2009-10-30 H. Monien , M. Linn , N. Elstner

We consider a system of spinless fermions in a nearly one-dimensional cylindrical trap. We introduce four-fermion interaction terms through which particles in low-lying modes of the trap may interact with particles in radially or angularly…

Condensed Matter · Physics 2007-05-23 B. Altschul

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Matthew P. A. Fisher , Leonid I. Glazman

The natural excitations of an interacting one-dimensional system at low energy are hydrodynamic modes of Luttinger liquid, protected by the Lorentz invariance of the linear dispersion. We show that beyond low energies, where quadratic…

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