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We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches to the one of noninteracting fermions, acquiring a Fermi edge. Yet there is a…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

Traditionally Fermi surfaces for problems in $d$ spatial dimensions have dimensionality $d-1$, i.e., codimension $d_c=1$ along which energy varies. Situations with $d_c >1$ arise when the gapless fermionic excitations live at isolated nodal…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil , R. Shankar

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals".…

Condensed Matter · Physics 2016-08-31 D. V. Khveshchenko , P. W. Anderson

We investigate the effects of the Coulomb two-body interaction on Fermi liquids via bosonization. The Coulomb interaction is singular in the limit of low momentum transfer, and recent interest in the possibility that some singular…

Condensed Matter · Physics 2012-09-28 A. Houghton , H. -J. Kwon , J. B. Marston , R. Shankar

Bosonization provides a powerful analytical framework to deal with one-dimensional strongly interacting fermion systems, which makes it a cornerstone in quantum many-body theory. Yet, this success comes at the expense of using effective…

Strongly Correlated Electrons · Physics 2017-12-06 Izak Snyman , Serge Florens

For a system of spinless one-dimensional fermions, the non-vanishing short-range limit of two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle…

Quantum Physics · Physics 2009-02-27 Taksu Cheon , T. Shigehara

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current…

High Energy Physics - Theory · Physics 2011-07-19 J. Froehlich , R. Goetschmann , P. A. Marchetti

The exploration of strongly-interacting finite-density states of matter has been a major recent application of gauge-gravity duality. When the theories involved have a known Lagrangian description, they are typically deformations of large…

High Energy Physics - Theory · Physics 2014-12-18 Aleksey Cherman , Sašo Grozdanov , Edward Hardy

We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the…

High Energy Physics - Theory · Physics 2015-06-18 Anson Hook , Shamit Kachru , Gonzalo Torroba , Huajia Wang

Bosonization describes Fermi surface dynamics in terms of a collective field that lives on a part of phase space. While sensible semiclassically, the challenge of treating such a field quantum mechanically has prevented bosonization from…

Strongly Correlated Electrons · Physics 2026-02-20 Sihan Chen , Luca V. Delacretaz

We consider the electric conductivity in normal metals in presence of a strong magnetic field. It is assumed here that the Fermi surface of a metal has rather complicated form such that different types of quasiclassical electron…

Other Condensed Matter · Physics 2018-08-28 A. Ya. Maltsev

We analyze the universality of the bosonization rules in non-relativistic fermionic systems in $(2+1)d$. We show that, in the case of linear fermionic dispersion relations, a general fermionic theory can be mapped into a gauge theory in…

Strongly Correlated Electrons · Physics 2009-08-11 D. G. Barci , Cesar A. Linhares , J. F. Medeiros Neto , A. F. de Queiroz

We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liquids, we present some of the relations between bosonic and…

Strongly Correlated Electrons · Physics 2007-05-23 Sumathi Rao , Diptiman Sen

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic massless particles interacting with localized fermionic impurities. We consider forward scattering processes…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Naon , M. C. von Reichenbach , M. L. Trobo

The absorption of light by a metal disturbs the electron distribution around the Fermi surface. Here, we calculate the phonon dispersion relations of free-electron-like metal, bcc sodium, with a stepwise electron distribution function by…

Materials Science · Physics 2020-05-20 Shota Ono , Daigo Kobayashi

We study one dimensional clean systems with few channels and strong electron-electron interactions. We find that in several circumstances, even when time reversal symmetry holds, they may lead to two terminal fractional quantized…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Gal Shavit , Yuval Oreg

I consider general interacting systems of quantum particles in one spatial dimension. These consist of bosons or fermions, which can have any number of components, arbitrary spin or a combination thereof, featuring low-energy two- and…

Quantum Gases · Physics 2020-11-09 Manuel Valiente

A periodically driven Fermi gas coupled to a simple boson bath reaches a non-equilibrium steady-state occupation with sharp non-analyticities at certain momenta. Here, we demonstrate that these non-analyticities behave as emergent Fermi…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Oles Matsyshyn , Li-kun Shi , Inti Sodemann Villadiego

It is shown that it is possible to bosonize fermions in any number of dimensions using the hydrodynamic variables, namely the velocity potential and density. The slow part of the Fermi field is defined irrespective of dimensionality and the…

Strongly Correlated Electrons · Physics 2009-11-11 Girish S. Setlur