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We propose a multi-impurity method for the bond-weighted tensor renormalization group (BWTRG) to compute the higher-order moment of physical quantities in a two-dimensional system. The replacement of the bond weight with an impurity matrix…

Statistical Mechanics · Physics 2025-02-26 Satoshi Morita , Naoki Kawashima

A numerical algorithm for studying strongly correlated electron systems is proposed. The groundstate wavefunction is projected out after numerical renormalization procedure in the path integral formalism. The wavefunction is expressed from…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada , Tsuyoshi Kashima

Single-particle dynamics of the Anderson impurity model are studied using both the numerical renormalization group (NRG) method and the local moment approach (LMA). It is shown that a 'two-self-energy' description of dynamics inherent to…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan

Density Matrix Renormalization Group (DMRG) or Matrix Product States (MPS) are widely acknowledged as highly effective and accurate methods for solving one-dimensional quantum many-body systems. However, the direct application of DMRG to…

Strongly Correlated Electrons · Physics 2024-11-25 Xiangjian Qian , Jiale Huang , Mingpu Qin

The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated.…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

A double quantum dot device, connected to two channels that only see each other through interdot Coulomb repulsion, is analyzed using the numerical renormalization group technique. By using a two-impurity Anderson model, and parameter…

Strongly Correlated Electrons · Physics 2022-05-13 E. Vernek , C. A. Busser , E. V. Anda , A. E. Feiguin , G. B. Martins

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

Strongly Correlated Electrons · Physics 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

A composite impurity in a metal can explore different configurations, where its net magnetic moment may be screened by the host electrons. An example is the two-stage Kondo (TSK) system, where screening occurs at successively smaller energy…

Strongly Correlated Electrons · Physics 2025-02-27 P. A. Almeida , E. Vernek , E. V. Anda , S. E. Ulloa , G. B. Martins

We report spin-polarized scanning tunneling microscopy measurements of an Anderson impurity system in MoS$_{2}$ mirror twin boundaries, where both the quantum confined impurity state and the Kondo resonance resulting from the interaction…

The fidelities of the Kondo and the Friedel-Anderson (FA) impurities are calculated numerically. The ground states of both systems are calculated with the FAIR (Friedel artificially inserted resonance) theory. The ground state in the…

Strongly Correlated Electrons · Physics 2015-05-30 Gerd Bergmann , Richard S. Thompson

The quasiparticle states around a nonmagnetic impurity in electron-doped iron-based superconductors with spin-density-wave (SDW) order are investigated as a function of doping and impurity scattering strength. In the undoped sample, where a…

Superconductivity · Physics 2011-06-07 Tao Zhou , Huaixiang Huang , Yi Gao , Jian-Xin Zhu , C. S. Ting

Given a multigrid procedure for linear systems with coefficient matrices $A_n$, we discuss the optimality of a related multigrid procedure with the same smoother and the same projector, when applied to properly related algebraic problems…

Numerical Analysis · Mathematics 2012-11-03 Stefano Serra-Capizzano , Cristina Tablino Possio

We analyze the ground-state energy, local spin correlation, impurity spin polarization, impurity-induced magnetization, and corresponding zero-field susceptibilities of the symmetric single-impurity Kondo model on a tight-binding chain with…

Strongly Correlated Electrons · Physics 2020-07-07 Gergely Barcza , Kevin Bauerbach , Fabian Eickhoff , Frithjof B. Anders , Florian Gebhard , Örs Legeza

The stripe state in the lowest Landau level is studied by the density matrix renormalization group (DMRG) method. The ground state energy and pair correlation functions are systematically calculated for various pseudopotentials in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Naokazu Shibata , Daijiro Yoshioka

This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its construction is based on a phase space analysis, a suitable…

Statistical Mechanics · Physics 2007-05-23 J. Bellissard , J. Magnen , V. Rivasseau

Using the Bethe ansatz method, we study the ground state properties of a $U\to\infty$ Anderson impurity in a ``gapless'' host, where a density of band states vanishes at the Fermi level $\epsilon_F$ as $|\epsilon-\epsilon_F|$. As in metals,…

Strongly Correlated Electrons · Physics 2009-10-31 Valery I. Rupasov

We apply the adaptive time-dependent Density Matrix Renormalization Group method (tDMRG) to the study of transport properties of quantum-dot systems connected to metallic leads. Finite-size effects make the usual tDMRG description of the…

Mesoscale and Nanoscale Physics · Physics 2008-12-03 Luis G. G. V. Dias da Silva , F. Heidrich-Meisner , A. E. Feiguin , C. A. Busser , G. B. Martins , E. V. Anda , E. Dagotto

We study the nonequilibrium spectral function of the single-impurity Anderson model connecting with multi-terminal leads. The full dependence on frequency and bias voltage of the nonequilibrium self-energy and spectral function is obtained…

Mesoscale and Nanoscale Physics · Physics 2017-10-23 Nobuhiko Taniguchi

We provide a detailed formulation of the recently proposed variational approach [Y. Ashida et al., Phys. Rev. Lett. 121, 026805 (2018)] to study ground-state properties and out-of-equilibrium dynamics for generic quantum spin-impurity…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

We use the matrix product formalism to find exact ground states of two new spin-1 quantum chains with nearest neighbor interactions. One of the models, model I, describes a one-parameter family of quantum chains for which the ground state…

Quantum Physics · Physics 2012-01-09 S. Alipour , V. Karimipour , L. Memarzadeh