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Non-chiral bosonization (NCBT) is a non-trivial modification of the standard Fermi-Bose correspondence in one spatial dimensions made in order to facilitate the study of strongly inhomogeneous Luttinger liquids (LL) where the properties of…

Strongly Correlated Electrons · Physics 2018-10-31 Joy Prakash Das , Chandramouli Chowdhury , Girish S. Setlur

In this work, we show in pedagogical detail that the most singular contributions to the slow part of the asymptotic density-density correlation function of Luttinger liquids with fermions interacting mutually with only short-range forward…

Strongly Correlated Electrons · Physics 2020-10-09 Nikhil Danny Babu , Joy Prakash Das , Girish S. Setlur

A two-leg ladder with $n$-component fermionic fields in the chains has been considered using an analytic renormalization group method. The fixed points and possible phases have been determined for generic filling as well as for a…

Strongly Correlated Electrons · Physics 2015-06-25 E. Szirmai , J. Sólyom

The problem of motion of a single electron interacting with a periodic lattice of two-level systems is investigated within a spinless fermion model. The Green's function is calculated in a single-site dynamical coherent potential…

Strongly Correlated Electrons · Physics 2011-07-27 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin

An asymptotically exact many body theory for spin polarized interacting fermions in a one-dimensional harmonic atom trap is developed using the bosonization method and including backward scattering. In contrast to the Luttinger model,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gao Xianlong , F. Gleisberg , F. Lochmann , W. Wonneberger

In this work, analytical expressions for the Green function of a Luttinger liquid are derived with one and two mobile impurities (heavy particles) using a combination of bosonization and perturbative approaches. The calculations are done in…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Joy Prakash Das , Girish S. Setlur

We study the motion of an impurity in a two-leg ladder interacting with two fermionic baths along each leg, a simple model bridging cold atom quantum simulators with an idealised description of the basic transport processes in a layered…

Quantum Gases · Physics 2021-04-07 Martino Stefanini , Massimo Capone , Alessandro Silva

We develop an operator-based approach to the problem of Luttinger liquid conductor in a non-equilibrium stationary state. We show that the coherent-state many-body fermionic density matrix as well as all fermionic correlation functions out…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

A model of two interacting one--dimensional fermion systems (``Luttinger liquids'') coupled by single--particle hopping is investigated. Bosonization allows a number of exact statements to be made. In particular, for forward scattering…

Condensed Matter · Physics 2009-10-22 H. J. Schulz

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant…

Quantum Physics · Physics 2009-11-07 Gao Xianlong , W. Wonneberger

Correlation functions and low-energy excitations are investigated in the asymmetric two-leg ladder consisting of a Hubbard chain and a noninteracting tight-binding (Fermi) chain using the density matrix renormalization group method. The…

Strongly Correlated Electrons · Physics 2018-09-18 Anas Abdelwahab , Eric Jeckelmann

A simple model of noninteracting electrons with a separable one-body potential is used to discuss the possible pole structure of single particle Green's functions for fermions on unphysical sheets in the complex frequency plane as a…

Strongly Correlated Electrons · Physics 2009-10-30 K. Schoenhammer

Within the framework of Fermionic Molecular Dynamics a method is developed to better account for long range tensor correlations in nuclei when working with a single Slater determinant. Single-particle states with mixed isospin and broken…

Nuclear Theory · Physics 2008-11-26 Sonia Bacca , Hans Feldmeier , Thomas Neff

The theoretical description of interacting fermions in one spatial dimension is simplified by the fact that the low energy excitations can be described in terms of bosonic degrees of freedom. This fermion-boson transmutation (FBT) which…

Condensed Matter · Physics 2009-10-28 K. Schoenhammer , V. Meden

In recent experiments bosonic [Atala et al., Nat. Phys. 10, 588 (2014), B. K. Stuhl et al., Science 349, 1514 (2015)] as well as fermionic ladders [M. Mancini et al., Science 349, 1510 (2015)] with a uniform flux were studied and different…

Quantum Gases · Physics 2016-02-08 Gaoyong Sun

We study a model of the stripe state in strongly correlated systems consisting of an array of antiferromagnetic spin ladders, each with $n_{leg}$ legs, coupled to each other through the spin-exchange interaction to charged stripes in…

Strongly Correlated Electrons · Physics 2009-10-31 W. Vincent Liu , Eduardo Fradkin

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

Our numerical study of the disordered Hubbard model with nearest-neighbor hopping shows that a two-leg electron ladder has a finite topological entanglement entropy in the regime where the density of states exhibits an exponentially…

Strongly Correlated Electrons · Physics 2025-06-02 S. -R. Eric Yang , Hyun Cheol Lee , Hoang-Anh Le , In-Hwan Lee

We analyze a model system of fermions in a harmonic oscillator potential under the influence of a dissipative environment: The fermions are subject to a fluctuating force deriving from a bath of harmonic oscillators. This represents an…

Statistical Mechanics · Physics 2007-05-23 Florian Marquardt , D. S. Golubev

Using the adiabatic switching of interactions, we establish a condition for the existence of electronic quasiparticles in a Luttinger liquid. It involves a characteristic interaction strength proportional to the inverse square root of the…

Condensed Matter · Physics 2009-10-22 R. Mélin , B. Douçot , P. Butaud
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