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We introduce a generalized two-dimensional orbital compass model, which interpolates continuously from the classical Ising model to the orbital compass model with frustrated quantum interactions, and investigate it using the multiscale…

Strongly Correlated Electrons · Physics 2010-09-13 Lukasz Cincio , Jacek Dziarmaga , Andrzej M. Oles

The generalization of the multi-scale entanglement renormalization ansatz (MERA) to continuous systems, or cMERA [Haegeman et al., Phys. Rev. Lett, 110, 100402 (2013)], is expected to become a powerful variational ansatz for the ground…

Quantum Physics · Physics 2017-07-12 Qi Hu , Guifre Vidal

In the two-impurity Anderson model, the inter-impurity spin exchange interaction favors a spin singlet state between two impurities leading to the breakdown of the Kondo effect. We show that a local uniform magnetic field can delocalize the…

Strongly Correlated Electrons · Physics 2012-08-30 Lijun Zhu , Jian-Xin Zhu

We establish a precise connection between discrete wavelet transforms (WTs) and entanglement renormalization (ER), a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle…

Strongly Correlated Electrons · Physics 2016-04-13 Glen Evenbly , Steven R. White

Quantum entanglement permeates the complex ground states of correlated electron materials defying single-particle descriptions. Coupled magnetic atoms have potential as model systems for entanglement in condensed matter giving the…

Quantum impurities exhibit fascinating many-body phenomena when the small interacting impurity changes the physics of a large noninteracting environment. The characterisation of such strongly correlated non-perturbative effects is…

Mesoscale and Nanoscale Physics · Physics 2023-01-16 Lidia Stocker , Stefan H. Sack , Michael S. Ferguson , Oded Zilberberg

The behavior of two magnetic impurities coupled to correlated electrons in one dimension is studied using the DMRG technique for several fillings. On-site Coulomb interactions among the electrons lead to a small Kondo screening cloud and an…

Strongly Correlated Electrons · Physics 2009-10-30 Karen Hallberg , Reinhold Egger

We use the multiscale entanglement renormalisation ansatz (MERA) to numerically investigate three critical quantum spin chains with Z_2 x Z_2 on-site symmetry: a staggered XXZ model, a transverse field cluster model, and the quantum…

Strongly Correlated Electrons · Physics 2015-04-28 Jacob C. Bridgeman , Aroon O'Brien , Stephen D. Bartlett , Andrew C. Doherty

The continuous Multi Scale Entanglement Renormalization Anstaz (cMERA) consists of a variational method which carries out a real space renormalization scheme on the wavefunctionals of quantum field theories. In this work we calculate the…

High Energy Physics - Theory · Physics 2021-09-21 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We develop a numerical method to compute the negativity, an entanglement measure for mixed states, between the impurity and the bath in quantum impurity systems at finite temperature. We construct a thermal density matrix by using the…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Jeongmin Shim , H. -S. Sim , Seung-Sup B. Lee

It is well known that the matrix product state (MPS) description of a gapped ground state with a global on-site symmetry can exhibit "symmetry fractionalization". Namely, even though the symmetry acts as a linear representation on the…

Strongly Correlated Electrons · Physics 2019-05-29 Sukhbinder Singh , Nathan McMahon , Gavin Brennen

We disentangle all the individual degrees of freedom in the quantum impurity problem to deconstruct the Kondo singlet, both in real and energy space, by studying the contribution of each individual free electron eigenstate. This is a…

Strongly Correlated Electrons · Physics 2017-03-08 Chun Yang , Adrian E. Feiguin

A many-body resonance emerges at the Fermi energy when an electron bath screens the magnetic moment of a half-filled impurity level. This Kondo effect, originally introduced to explain the abnormal resistivity behavior in bulk magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Camiel van Efferen , Jeison Fischer , Theo A. Costi , Achim Rosch , Thomas Michely , Wouter Jolie

We study the real-space entanglement renormalization group flows of topological band insulators in (2+1) dimensions by using the continuum multi-scale entanglement renormalization ansatz (cMERA). Given the ground state of a Chern insulator,…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Xueda Wen , Gil Young Cho , Pedro L. S. Lopes , Yingfei Gu , Xiao-Liang Qi , Shinsei Ryu

In recent scanning tunneling microscopy experiments, confinement in an elliptical corral has been used to project the Kondo effect from one focus to the other one. I solve the Anderson model at arbitrary temperatures, for an impurity…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Aligia

The entanglement entropy in Kondo impurity systems is studied analytically using conformal field theory. From the impurity contribution to the scaling corrections of the entanglement entropy we extract information about the screening cloud…

Strongly Correlated Electrons · Physics 2011-08-01 Erik Eriksson , Henrik Johannesson

A theoretical concept is presented for the screening of several magnetic moments locally exchange coupled to conduction electrons in a metallic nanostructure. We consider a quantum confined multi-impurity Kondo model which exhibits the…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff , Andrew K. Mitchell

The Kondo effect is a prototypical quantum phenomenon arising from the interaction between localized electrons in a magnetic impurity and itinerant electrons in a metallic host. Although it has served as the testing ground for quantum…

Strongly Correlated Electrons · Physics 2025-07-21 Tianyu Zhu , Linqing Peng , Huanchen Zhai , Zhi-Hao Cui , Runze Chi , Garnet Kin-Lic Chan

We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product operators, general topological restrictions on conformal data…

Quantum Physics · Physics 2017-09-07 Jacob C. Bridgeman , Dominic J. Williamson

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

Quantum Physics · Physics 2011-09-27 Glen Evenbly