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Recently, a functional integral representation was proposed by Weller (Weller, W.: phys.~stat.~sol.~(b) {\bf 162}, 251 (1990)), in which the fermionic fields strictly satisfy the constraint of no double occupancy at each lattice site. This…

凝聚态物理 · 物理学 2009-10-22 R. Bulla , J. Keller , T. Pruschke

We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

统计力学 · 物理学 2013-05-30 Matthias Ohliger , Axel Pelster

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

强关联电子 · 物理学 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

We bosonize a Fermi liquid in any number of dimensions in the limit of long wavelengths. From the bosons we construct a set of coherent states which are related with the displacement of the Fermi surface due to particle-hole excitations. We…

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

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

Using eigen-functional bosonization method, we study quantum many-particle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation…

强关联电子 · 物理学 2007-05-23 Yu-Liang Liu

Holes in a Mott insulator are represented by spinless fermions in the fermion-boson model introduced by Edwards. Although the physically interesting regime is for low to moderate fermion density the model has interesting properties over the…

强关联电子 · 物理学 2015-05-19 D M Edwards , S Ejima , A Alvermann , H Fehske

Non-chiral bosonization technique adapted to study chiral quantum wires with non-interacting fermions coupled through a point-contact with a constant bias between the wires is introduced and is shown to reproduce the exact Green functions…

强关联电子 · 物理学 2023-01-04 Nikhil Danny Babu , Girish S. Setlur

A Green's function approach to the inclusive quasielastic ($e,e'$) scattering is presented. The components of the nuclear response are written in terms of the single-particle optical model Green's function. The explicit calculation of the…

核理论 · 物理学 2007-05-23 F. Capuzzi , C. Giusti , A. Meucci , F. D. Pacati

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

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…

强关联电子 · 物理学 2017-12-06 Izak Snyman , Serge Florens

The single electron Green's function of the one-dimensional Tomonaga-Luttinger model in the presence of open boundaries is calculated with bosonization methods. We show that the critical exponents of the local spectral density and of the…

凝聚态物理 · 物理学 2009-10-28 Sebastian Eggert , Henrik Johannesson , Ann Mattsson

We compute connected Green's functions of a Bosonic field theory with cutoffs by means of a ``minimal'' expansion which in a single move, interpolating a generalized propagator, performs the usual tasks of the cluster and Mayer expansion.…

数学物理 · 物理学 2009-10-31 A. Abdesselam , J. Magnen , V. Rivasseau

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

We inspect the initial and the long time evolution of excitations a Fermi liquids by analyzing the time behavior of the electron spectral function. Focusing on the short-time limit we study the electron-boson model for the homogenous…

强关联电子 · 物理学 2015-06-12 Y. Pavlyukh , A. Rubio , J. Berakdar

We summarize recent developments in the field of higher dimensional bosonization made by the authors and collaborators and propose a general formula for the field operator in terms of currents and densities in one dimension using a new…

强关联电子 · 物理学 2009-11-13 Girish S. Setlur , V. Meera

Long-range correlations, which are partially responsible for the observed fragmentation and depletion of low-lying single-particle strength, are studied in the Green's function formalism. The self-energy is expanded up to second order in…

核理论 · 物理学 2009-10-30 Y. Dewulf , D. Van Neck , L. Van Daele , M. Waroquier

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with non-singular interactions using Haldane's bosonization scheme. The bosonized system is solved exactly by a generalized Bogoliubov transformation.…

凝聚态物理 · 物理学 2015-06-25 Y. Yu , Y. M. Li , N. d'Ambrumenil

Unraveling general properties of Green's functions of quantum dissipative systems is of both experimental relevance and theoretical interest. Here, we study the spin-boson model as a prototype. By utilizing the Majorana- Fermion…

介观与纳米尺度物理 · 物理学 2017-07-24 Junjie Liu , Hui Xu , Changqin Wu

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

介观与纳米尺度物理 · 物理学 2007-05-23 Gregory A. Fiete , Leon Balents