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The Liouville-space Green function formalism is used to compute the current density profile across a single molecule attached to electrodes. Time ordering is maintained in real, physical, time, avoiding the use of artificial time loops and…

介观与纳米尺度物理 · 物理学 2009-11-10 Oleg Berman , Shaul Mukamel

In a recent Physical Review Letter, Oreg and Finkel'stein (OF) have calculated the electron density of states (DOS) for tunneling into a repulsive Luttinger liquid close to the location of an impurity. The result of their calculation is a…

强关联电子 · 物理学 2009-10-30 Michele Fabrizio , Alexander O. Gogolin

We derive generalized Kronig identities expressing quadratic fermionic terms including momentum transfer to bosonic operators and use them to obtain the exact solution for one-dimensional fermionic models with linear dispersion in the…

强关联电子 · 物理学 2020-12-10 Sebastian Huber , Marcus Kollar

Luttinger's theorem constrains the particle density of interacting fermions through global properties of the single-particle Green's function, and its violation signals a breakdown of the identification between the quantized Hall response…

In this paper, we present a generalized Green's function method which can be used to investigate the quantum phase transitions analytically in a systematic way for ultracold Bose systems in bipartite optical lattices. As an example, to the…

统计力学 · 物理学 2014-02-18 Zhi Lin , Jun Zhang , Yan Chen , Ying Jiang

The properties of impurity immersed in the dilute $D$-dimensional Bose gas at temperatures close to the second-order phase transition point are considered. Particularly by means of the $1/N$-expansion we calculated the leading-order polaron…

量子气体 · 物理学 2018-05-09 Volodymyr Pastukhov

We calculate the exact Green function of a special model of N coupled Luttinger chains with arbitrary interchain hopping t_{perp}. The model is exactly solvable via bosonization if the interchain interaction does not fall off in the…

强关联电子 · 物理学 2009-10-30 Lorenz Bartosch , Peter Kopietz

We present an efficient and accurate method for calculating electronic structure and related properties of random alloys with a proper treatment of local environment effects. The method is a generalization of the locally self-consistent…

材料科学 · 物理学 2012-05-15 Oleg E. Peil , Andrei V. Ruban , Börje Johansson

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

凝聚态物理 · 物理学 2009-10-28 Johannes Voit

We use a bosonization approach to show that the three dimensional Coulomb interaction in coupled metallic chains leads to a Luttinger liquid for vanishing inter-chain hopping $t_{\bot}$, and to a Fermi liquid for any finite $t_{\bot}$.…

凝聚态物理 · 物理学 2016-08-31 Peter Kopietz , Volker Meden , Kurt Schoenhammer

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

材料科学 · 物理学 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

We investigate transport properties of gate-all-around Si nanowires using non-equilibrium Green's function technique. By taking into account of the ionized impurity scattering we calculate Green's functions self-consistently and examine the…

介观与纳米尺度物理 · 物理学 2009-11-13 J. H. OH , D. Ahn , Y. S. Yu , S. W. Hwang

We numerically study Friedel Oscillations and screening effect around a single impurity in one- and two-dimensional interacting lattice electrons. The interaction between electrons is accounted for by using a momentum independent…

强关联电子 · 物理学 2015-06-05 Banhi Chatterjee , Krzysztof Byczuk

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

This paper develops a finite-difference analogue of the boundary integral/element method for the numerical solution of two-dimensional exterior scattering from scatterers of arbitrary shapes. The discrete fundamental solution, known as the…

数值分析 · 数学 2025-11-19 Siyuan Wang , Qing Xia

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

强关联电子 · 物理学 2024-09-02 Sabine Andergassen

A reformulation of site-occupation embedding theory (SOET) in terms of Green's functions is presented. Referred to as site-occupation--Green's function embedding theory (SOGET), this novel extension of density-functional theory for model…

强关联电子 · 物理学 2019-11-07 Laurent Mazouin , Matthieu Saubanère , Emmanuel Fromager

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

强关联电子 · 物理学 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

The one-dimensional (1D) Yang-Gaudin model-an integrable $\delta$-function interacting Fermi gas, serves as a paradigm in quantum many-body physics, encompassing phenomena from spin-charge separation to the Luther-Emery liquid. However, a…

量子气体 · 物理学 2026-03-17 Hai-Ying Cui , Yu-Hao Yeh , Randall G. Hulet , Han Pu , Thierry Giamarchi , Xi-Wen Guan

We propose a series of models with inverse-square interactions, for which the ground states have an exact closed form, that describe one localized spin-$1/2$ Kondo impurity coupled to Luttinger liquids of itinerant bosons or fermions in the…

强关联电子 · 物理学 2023-10-11 Hua-Chen Zhang , Ying-Hai Wu , Hong-Hao Tu