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We examine the effect of boson-fermion interaction in a one-dimensional Bose-Fermi mixture by using the density matrix renormalization group method. We show that the boson superfluidity is enhanced by fermions for a weak boson-fermion…

量子气体 · 物理学 2021-02-16 Chenrong Liu , Yongzheng Wu , Jie Lou , Yan Chen

We present an exact mapping of models of interacting fermions onto boson models. The bosons correspond to collective excitations in the initial fermionic models. This bosonization is applicable in any dimension and for any interaction…

强关联电子 · 物理学 2015-05-13 K. B. Efetov , C. Pepin , H. Meier

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

强关联电子 · 物理学 2018-08-15 Andrea Marini , Yaroslav Pavlyukh

Kagome-net, appearing in areas of fundamental physics, materials, photonic and cold-atom systems, hosts frustrated fermionic and bosonic excitations. However, it is extremely rare to find a system to study both fermionic and bosonic modes…

In recent years it has been shown how approximate bosonization can be used to justify the random phase approximation for the correlation energy of interacting fermions in a mean-field scaling limit. At the core is the interpretation of…

数学物理 · 物理学 2026-05-08 Niels Benedikter

We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We…

数学物理 · 物理学 2015-12-04 Edwin Langmann , Per Moosavi

A procedure of bosonization of Fermions in an arbitrary dimension is suggested. It is shown that a quadratic expression in the fermionic fields after rescaling time $t\to t/\lambda^2$ and performing the limit $\lambda\to0$ (stochastic…

高能物理 - 理论 · 物理学 2007-05-23 L. Accardi , Y. G. Lu , I. Volovich

We present a bosonized effective field theory for a 2d Fermi surface in a weak magnetic field using the coadjoint orbit approach, which was recently developed as a nonlinear bosonization method in phase space for Fermi liquids and non-Fermi…

强关联电子 · 物理学 2025-07-09 Mengxing Ye , Yuxuan Wang

A general form of a many-body Hamiltonian is considered, which includes an interacting fermionic sub-system coupled to non-interacting extended fermionic and bosonic systems. We show that the exact dynamics of the extended bosonic system…

强关联电子 · 物理学 2015-06-22 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

We present in detail the bosonization-refermionization solution of the anisotropic version of the two-channel Anderson model at a particular manifold in the space of parameters of the theory, where we establish an equivalence with a…

强关联电子 · 物理学 2008-05-30 A. Iucci , C. J. Bolech

We consider two species of bosons in one dimension near the Tonks-Girardeau limit of infinite interactions. For the case of equal masses and equal intraspecies interactions, the system can be mapped to a S=1/2 XXZ Heisenberg spin chain,…

量子气体 · 物理学 2015-12-15 Pietro Massignan , Jesper Levinsen , Meera M. Parish

We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and…

高能物理 - 理论 · 物理学 2009-11-11 Alexios P. Polychronakos

We analyze a system of fermions in a one-dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two…

量子气体 · 物理学 2023-01-11 Martín D. Jiménez , Eloisa Cuestas , Ana P. Majtey , Cecilia Cormick

Making a combined use of bosonization and fermionization techniques, we build nonlocal transformations between dual fermion operators, describing junctions of strongly interacting spinful one-dimensional quantum wires. Our approach allows…

强关联电子 · 物理学 2015-09-30 Domenico Giuliano , Andrea Nava

The main features of a generic boson-fermion scenario for electron pairing in a many-body correlated fermionic system are: i) a cross-over from a poor metal to an insulator and finally a superconductor as the temperature decreases, ii) the…

超导电性 · 物理学 2009-11-10 M. Cuoco , C. Noce , J. Ranninger , A. Romano

A new approach to bosonization in relativistic field theories and many-body systems, based on the use of fermionic composites as integration variables in the Berezin integral defining the partition function of the system, is tested. The…

高能物理 - 理论 · 物理学 2009-10-30 M. B. Barbaro , A. Molinari , F. Palumbo

Particles made of two fermions can in many cases be treated as elementary bosons, but the conditions for this treatment to be valid are nontrivial. The so-called "coboson formalism" is a powerful tool to tackle compositeness effects…

量子气体 · 物理学 2022-01-06 E. Cuestas , C. Cormick

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

We present a new method of bosonization of fermion systems applicable when the partition function is dominated by composite bosons. Restricting the partition function to such states we get an euclidean bosonic action from which we derive…

核理论 · 物理学 2009-11-10 Fabrizio Palumbo

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

量子气体 · 物理学 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza