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Related papers: Coupled-cluster impurity solvers for dynamical mea…

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We develop, clarify and test various aspects of cluster methods dynamical mean field methods using a soluble toy model as a benchmark. We find that the Cellular Dynamical Mean Field Theory (C-DMFT) converges very rapidly and compare its…

Strongly Correlated Electrons · Physics 2009-11-07 Giulio Biroli , Gabriel Kotliar

In the Cellular Dynamical Mean Field Theory (CDMFT), a strongly correlated system is represented by a small cluster of correlated sites, coupled to an adjustable bath of uncorrelated sites simulating the cluster's environment; the…

Strongly Correlated Electrons · Physics 2010-07-30 David Senechal

Quantum embedding methods have recently developed significantly to model large molecular structures. This work proposes a novel wave function theory in density functional theory (WTF-in-DFT) embedding scheme based on pair-coupled cluster…

Chemical Physics · Physics 2024-01-10 Rahul Chakraborty , Katharina Boguslawski , Paweł Tecmer

We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imaginary-frequency axis and obtains real-frequency information in…

Strongly Correlated Electrons · Physics 2015-11-30 F. Alexander Wolf , Ara Go , Ian P. McCulloch , Andrew J. Millis , Ulrich Schollwöck

We introduce DMET, a new quantum embedding theory for predicting ground-state properties of infinite systems. Like dynamical mean-field theory (DMFT), DMET maps the the bulk interacting system to a simpler impurity model and is exact in the…

Strongly Correlated Electrons · Physics 2015-03-20 Gerald Knizia , Garnet Kin-Lic Chan

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new…

Strongly Correlated Electrons · Physics 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

We propose an improved fast multi-orbital impurity solver for the dynamical mean field theory (DMFT) based on equations of motion (EOM) of Green's functions and decoupling scheme. In this scheme the inter-orbital Coulomb interactions are…

Strongly Correlated Electrons · Physics 2015-05-30 Qingguo Feng , P. M. Oppeneer

The dynamical fluctuations in approaches such as dynamical mean-field theory (DMFT) allow for the self-consistent optimization of a local fragment, hybridized with a true correlated environment. We show that these correlated environmental…

Strongly Correlated Electrons · Physics 2018-12-19 Edoardo Fertitta , George H. Booth

We revisit the cellular dynamical mean-field theory (CDMFT) for the single band Hubbard model on the square lattice at half filling, reaching real-space cluster sizes of up to 9 x 9 sites. Using benchmarks against direct lattice…

Strongly Correlated Electrons · Physics 2020-09-30 Marcel Klett , Nils Wentzell , Thomas Schäfer , Fedor Simkovic , Olivier Parcollet , Sabine Andergassen , Philipp Hansmann

Nonequilibrium dynamical mean-field theory (DMFT) solves correlated lattice models by obtaining their local correlation functions from an effective model consisting of a single impurity in a self-consistently determined bath. The recently…

Strongly Correlated Electrons · Physics 2015-06-22 Karsten Balzer , Zheng Li , Oriol Vendrell , Martin Eckstein

Recent developments in quantum hardware and quantum algorithms have made it possible to utilize the capabilities of current noisy intermediate-scale quantum devices for addressing problems in quantum chemistry and condensed matter physics.…

Quantum Physics · Physics 2023-05-01 Steffen Backes , Yuta Murakami , Shiro Sakai , Ryotaro Arita

We extend the nonequilibrium dynamical mean field (DMFT) formalism to inhomogeneous systems by adapting the "real-space" DMFT method to Keldysh Green's functions. Solving the coupled impurity problems using strong-coupling perturbation…

Strongly Correlated Electrons · Physics 2014-08-15 Martin Eckstein , Philipp Werner

We present a cluster dynamical mean-field treatment of the Hubbard model on a square lattice to study the evolution of magnetism and quasiparticle properties as the electron filling and interaction strength are varied. Our approach for…

Strongly Correlated Electrons · Physics 2009-11-10 E. C. Carter , A. J. Schofield

We present an impurity solver based on adaptively truncated Hilbert spaces. The solver is particularly suitable for dynamical mean-field theory in circumstances where quantum Monte Carlo approaches are ineffective. It exploits the sparsity…

Strongly Correlated Electrons · Physics 2017-08-30 Ara Go , Andrew J. Millis

We demonstrate an algebraic construction of frequency-dependent bath orbitals which can be used in a robust and rigorously self-consistent DMFT-like embedding method, here called $\omega-$DMFT, suitable for use with Hamiltonian-based…

Strongly Correlated Electrons · Physics 2020-02-05 Max Nusspickel , George H. Booth

Nanoscale physics and dynamical mean field theory have both generated increased interest in complex quantum impurity problems and so have focused attention on the need for flexible quantum impurity solvers. Here we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jaebeom Yoo , Shailesh Chandrasekharan , Ribhu K. Kaul , Denis Ullmo , Harold U. Baranger

We derive an approximate analytical solution of the self-consistency equations of the bosonic dynamical mean-field theory (B-DMFT) in the strong-coupling limit. The approach is based on a linked-cluster expansion in the hybridization…

Quantum Gases · Physics 2015-06-04 Anna Kauch , Krzysztof Byczuk , Dieter Vollhardt

Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

Strongly Correlated Electrons · Physics 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We present a tensor network especially suited for multi-orbital Anderson impurity models and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver works directly on the real-frequency axis and yields very…

Strongly Correlated Electrons · Physics 2017-07-26 Daniel Bauernfeind , Manuel Zingl , Robert Triebl , Markus Aichhorn , Hans Gerd Evertz

We review two analytical approaches in Dynamical Mean-Field Theory (DMFT) based on a perturbation theory expansion over the electron hopping to and from the self consistent environment. In the first approach the effective single impurity…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Stasyuk , A. M. Shvaika