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We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a single-impurity Anderson model in an…

Strongly Correlated Electrons · Physics 2015-10-05 Andrew K. Mitchell , Ralf Bulla

Wavefunction effects in uncorrelated systems are characterized by the Berry curvature and quantum metric. Beyond those, we propose gauge-independent tensors describing Bloch wavefunction effects on local interaction between correlated…

Quantum Gases · Physics 2024-09-12 Yeyang Zhang

We experimentally investigate the quantum motion of an impurity atom that is immersed in a strongly interacting one-dimensional Bose liquid and is subject to an external force. We find that the momentum distribution of the impurity exhibits…

We study the effect of impurity pinning on a one-dimensional half-filled electron system, which is expressed in terms of a phase Hamiltonian with the charge degree of freedom. Within the classical treatment, the pinned state is examined…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshikazu Suzumura , Masato Isobe

Chiral edge modes of topological insulators and Hall states exhibit non-trivial behavior of conductance in the presence of impurities or additional channels. We will present a simple formula for the conductance through a chiral edge mode…

Disordered Systems and Neural Networks · Physics 2015-06-16 Kun W. Kim , Israel Klich , Gil Refael

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects stemming from the electron-lattice and…

Strongly Correlated Electrons · Physics 2009-11-10 M. Gulacsi , A. Bussmann-Holder , A. R. Bishop

The problem of a single Hermitian impurity has long served as a cornerstone in condensed matter physics, offering fundamental insights into the mechanisms of Anderson localization. Yet, despite the increased interest in the spectral and…

Disordered Systems and Neural Networks · Physics 2025-11-24 E. T. Kokkinakis , I. Komis , K. G. Makris , E. N. Economou

Over the last few years lattice techniques have been used to investigate candidate theories of new physics beyond the Standard Model. This review gives a survey of results from these studies. Most of these investigations have been of…

High Energy Physics - Phenomenology · Physics 2016-04-20 Thomas DeGrand

We develop the impurity lattice Monte Carlo formalism, for the case of two distinguishable impurities in a bath of polarized fermions. The majority particles are treated as explicit degrees of freedom, while the impurities are described by…

Nuclear Theory · Physics 2022-09-21 Fabian Hildenbrand , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

The localization properties of a two-dimensional disordered electron gas in a strong external magnetic field are studied. The impurities are considered to be located on a square lattice with random amplitudes. The concentration of these…

Condensed Matter · Physics 2007-05-23 Michael HILKE

The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where the onset of non-uniform,…

Soft Condensed Matter · Physics 2018-08-15 Raj Kumar Pal , Federico Bonetto , Luca Dieci , Massimo Ruzzene

We investigate magnetic properties induced by a spinless impurity in strongly correlated electron systems, i.e. the Hubbard model in the spatial dimension $D=1,2,$ and 3. For the 1D system exploiting the Bethe ansatz exact solution we find…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

Objects subjected to a constant force generally increase their velocity over time. This expectation fails whenever their energy is a smooth and periodic function of momentum, resulting in periodic Bloch oscillations instead. Periodic…

Quantum Gases · Physics 2026-05-20 Stefano Scopa , Philip Zechmann , Michael Knap , Jacopo De Nardis , Alvise Bastianello

The impurity Green's function Gf in the local non-Fermi liquid state is evaluated by means of the continuous-time quantum Monte Carlo method extended to the multichannel Anderson model. For N=M (where N and M are numbers of spin components…

Strongly Correlated Electrons · Physics 2015-05-20 Junya Otsuki

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

Strongly Correlated Electrons · Physics 2015-06-16 Chisa Hotta , Naokazu Shibata

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

We examine the effect of a single, non-magnetic impurity in a multiband, extended s-wave superconductor allowing for anisotropy of the gaps on the Fermi surfaces. We derive analytic expressions for the Green's functions in the continuum and…

Superconductivity · Physics 2015-06-11 R. Beaird , I. Vekhter , Jian-Xin Zhu

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

Lattice Green's functions (LGF) and density of states (DOS) for non-interacting models on 3 related lattices are presented. The DOS and LGF at the origin for the kagome and diced lattices are rederived. Furthermore, from the form obtained…

Statistical Mechanics · Physics 2013-11-01 Vipin Kerala Varma , Hartmut Monien