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Novel controlled non-perturbative techniques are a must in the study of strongly correlated systems, especially near quantum criticality. One of these techniques, bosonization, has been extensively used to understand one-dimensional, as…

强关联电子 · 物理学 2018-11-01 Daniel G. Barci , Eduardo Fradkin , Leonardo Ribeiro

Bosonization of degenerate fermions yields insight both into Landau Fermi liquids, and into non-Fermi liquids. We begin our review with a pedagogical introduction to bosonization, emphasizing its applicability in spatial dimensions greater…

强关联电子 · 物理学 2015-06-25 A. Houghton , H. -J. Kwon , J. B. Marston

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…

量子物理 · 物理学 2009-02-27 Taksu Cheon , T. Shigehara

We use our recently developed functional bosonization approach to bosonize interacting fermions in arbitrary dimension $d$ beyond the Gaussian approximation. Even in $d=1$ the finite curvature of the energy dispersion at the Fermi surface…

凝聚态物理 · 物理学 2016-08-31 Peter Kopietz , Joachim Hermisson , Kurt Schoenhammer

Inspired by the recent work by Delacretaz et. al., we rigorously derive an exact and simple method to bosonize a non-interacting fermionic system with a Fermi surface starting from a microscopic Hamiltonian. In the long-wavelength limit, we…

强关联电子 · 物理学 2024-03-13 Takamori Park , Leon Balents

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…

强关联电子 · 物理学 2007-05-23 Sumathi Rao , Diptiman Sen

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".…

凝聚态物理 · 物理学 2016-08-31 D. V. Khveshchenko , P. W. Anderson

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

凝聚态物理 · 物理学 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

量子气体 · 物理学 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

We derive multidimensional bosonization directly from the electron gas in a low-energy, low momentum regime where $\omega\gg \frac{k^2}{k_F}$, such that the dispersion can be linearized. To reach this limit, the Fermi momentum and the…

强关联电子 · 物理学 2022-10-11 Tomer Ravid , Tom Banks

Understanding non-Fermi liquids in dimensions higher than one remains one of the most formidable challenges in modern condensed matter physics. These systems, characterized by an abundance of gapless degrees of freedom and the absence of…

强关联电子 · 物理学 2025-11-11 SangEun Han , Félix Desrochers , Yong Baek Kim

As the title suggests, this is an attempt at bosonizing fermions in any number of dimensions without paying attention to the fact that the Fermi surface is an extended object. One is tempted to introduce the density fluctuation and its…

凝聚态物理 · 物理学 2016-08-31 Girish S. Setlur

We develop a systematic approach to bosonization and vertex algebras on quantum wires of the form of star graphs. The related bosonic fields propagate freely in the bulk of the graph, but interact at its vertex. Our framework covers all…

高能物理 - 理论 · 物理学 2008-11-26 B. Bellazzini , M. Mintchev , P. Sorba

We derive the exact form of the bosonized Hamiltonian for a many-body fermion system in one spatial dimension with arbitrary dispersion relations, using the droplet bosonization method. For a single-particle Hamiltonian polynomial in the…

高能物理 - 理论 · 物理学 2020-03-06 Dimitra Karabali , Alexios P. Polychronakos

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…

强关联电子 · 物理学 2009-11-11 Girish S. Setlur

This work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive fermion-mediated interaction between bosons, as…

数学物理 · 物理学 2025-12-05 Esteban Cárdenas , Joseph K. Miller , David Mitrouskas , Nataša Pavlović

Interacting one-dimensional quantum systems play a pivotal role in physics. Exact solutions can be obtained for the homogeneous case using the Bethe ansatz and bosonisation techniques. However, these approaches are not applicable when…

量子物理 · 物理学 2016-07-12 M. E. S. Andersen , A. S. Dehkharghani , A. G. Volosniev , E. J. Lindgren , N. T. Zinner

We investigate many-body effects on a mixture of interacting bosons and fermions loaded in an optical lattice using a generalized dynamical mean field theory combined with the numerical renormalization group. We show that strong correlation…

量子气体 · 物理学 2015-06-05 Kazuto Noda , Robert Peters , Norio Kawakami , Thomas Pruschke

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

强关联电子 · 物理学 2020-09-16 Sebastian Mantilla , Inti Sodemann

Strong repulsive interactions in a one-dimensional electron system suppress the exchange coupling J of electron spins to a value much smaller than the Fermi energy E_F. The conventional theoretical description of such systems based on the…

介观与纳米尺度物理 · 物理学 2007-11-01 K. A. Matveev , A. Furusaki , L. I. Glazman
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