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We address the problem of a magnetic impurity in a two dimensional $U(1)$ spin liquid where the spinons have gap-less excitations near the Fermi-surface and are coupled to an emergent gap-less gauge field. Using a large N expansion we…

Strongly Correlated Electrons · Physics 2015-05-20 P. Ribeiro , P. A. Lee

The Iterated Perturbation Theory (IPT) equations of the Dynamical Mean Field Theory (DMFT) for the half-filled Hubbard model, are solved on nearly real frequencies at various values of the Hubbard parameters $U$, to investigate the nature…

Strongly Correlated Electrons · Physics 2008-08-05 M. B. Fathi , S. A. Jafari

We study the impurity-induced phase transitions in a quasi-one-dimensional Heisenberg antiferromagnet doped with magnetic spin-1/2 impurities and non-magnetic ones. The impurity-induced transition temperature determined by the quantum Monte…

Strongly Correlated Electrons · Physics 2015-06-25 Munehisa Matsumoto , Hajime Takayama

We introduce the Markovian matrix product density operator, which is a special subclass of the matrix product density operator. We show that the von Neumann entropy of such ansatz can be computed efficiently on a classical computer. This is…

Quantum Physics · Physics 2017-09-28 Isaac H. Kim

We describe an open-source implementation of the continuous-time hybridization-expansion quantum Monte Carlo method for impurity models with general instantaneous two-body interactions and complex hybridization functions. The code is built…

Strongly Correlated Electrons · Physics 2017-05-02 Hiroshi Shinaoka , Emanuel Gull , Philipp Werner

In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras. By introducing an enhanced compatibility condition, we enable the extension of finite MPS to an infinite-volume…

Quantum Physics · Physics 2024-11-08 Abdessatar Souissi , Amenallah Andolsi

The influence of spin-orbit interactions on the Kondo effect has been under debate recently. Studies conducted recently on a system composed by an Anderson impurity on a 2DEG with Rashba spin-orbit have been shown that it can enhance or…

Strongly Correlated Electrons · Physics 2016-09-14 G. R. de Sousa , Joelson F. Silva , E. Vernek

Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model and thus gives an approximate solution of the Hubbard model from the solution of simpler quantum impurity model.…

Finite temperature problems in the strong correlated systems are important but challenging tasks. Minimally entangled typical thermal states (METTS) are a powerful method in the framework of tensor network methods to simulate finite…

Strongly Correlated Electrons · Physics 2019-10-15 Chia-Min Chung , Ulrich Schollwöck

We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by improving a sample-update algorithm in the continuous-time quantum Monte Carlo method based on the interaction expansion. The proposed sampling scheme for the…

Strongly Correlated Electrons · Physics 2014-08-20 Yusuke Nomura , Shiro Sakai , Ryotaro Arita

A systematic and compact treatment of arbitrary $su(2)$ invariant spin-$s$ quantum chains with nearest-neighbour interactions is presented. The ground-state is derived in terms of matrix product states (MPS). The fundamental MPS…

Strongly Correlated Electrons · Physics 2016-08-24 Rubina Zadourian , Andreas Fledderjohann , Andreas Klümper

Method of random phase product state (RPPS) is proposed to calculate canonical ensemble average of quantum systems described with matrix product states and also with tensor network states in general. The RPPS method is an extension of the…

Strongly Correlated Electrons · Physics 2020-06-26 Toshiaki Iitaka

As in the density matrix renormalization group (DMRG) method, approximating many-body wave function of electrons using a matrix product state (MPS) is a promising way to solve electronic structure problems. The expressibility of an MPS is…

Quantum Physics · Physics 2023-01-18 Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang

We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory (DMFT). This…

Strongly Correlated Electrons · Physics 2017-11-27 Y. Núñez Fernández , K. Hallberg

This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical…

Quantum Physics · Physics 2007-08-02 D. Perez-Garcia , F. Verstraete , M. M. Wolf , J. I. Cirac

It is shown that the Hamiltonian for a quantum magnetic impurity on the surface of a topological insulator can be mapped to the conventional pseudo-gap Anderson impurity model, albeit with the combinations of continuum states which…

Strongly Correlated Electrons · Physics 2011-02-07 Rok Zitko

The electronic properties of paramagnetic V_2O_3 are investigated by the ab-initio computational scheme LDA+DMFT(QMC). This approach merges the local density approximation (LDA) with dynamical mean-field theory (DMFT) and uses numerically…

Strongly Correlated Electrons · Physics 2009-10-31 K. Held , G. Keller , V. Eyert , D. Vollhardt , V. I. Anisimov

We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean…

Strongly Correlated Electrons · Physics 2023-11-14 Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

We present matrix-product state (MPS) based band Lanczos method as solver for quantum cluster methods such as the variational cluster approximation. While a na\"ive implementation of MPS as cluster solver would barely improve its range of…

Strongly Correlated Electrons · Physics 2026-01-21 Sebastian Paeckel , Thomas Köhler , Salvatore R. Manmana , Benjamin Lenz

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid
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