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Strongly correlated quantum impurity problems appear in a wide variety of contexts ranging from nanoscience and surface physics to material science and the theory of strongly correlated lattice models, where they appear as auxiliary systems…

Strongly Correlated Electrons · Physics 2013-02-19 Hartmut Hafermann , Philipp Werner , Emanuel Gull

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

We explore two complementary modifications of the hybridization-expansion continuous-time Monte Carlo method, aiming at large multi-orbital quantum impurity problems. One idea is to compute the imaginary-time propagation using a matrix…

Strongly Correlated Electrons · Physics 2014-07-01 Hiroshi Shinaoka , Michele Dolfi , Matthias Troyer , Philipp Werner

We present a continuous-time Monte Carlo method for quantum impurity models, which combines a weak-coupling expansion with an auxiliary-field decomposition. The method is considerably more efficient than Hirsch-Fye and free of time…

Strongly Correlated Electrons · Physics 2008-06-02 Emanuel Gull , Philipp Werner , Olivier Parcollet , Matthias Troyer

In this work we introduce a modified real-time continuous-time hybridization-expansion quantum Monte Carlo solver for a time-dependent single-orbital Anderson impurity model: CT-1/2-HYB-QMC. In the proposed method the diagrammatic expansion…

Strongly Correlated Electrons · Physics 2019-08-07 Patryk Kubiczek , Alexey N. Rubtsov , Alexander I. Lichtenstein

We generalized the recently introduced new impurity solver based on the diagrammatic expansion around the atomic limit and Quantum Monte Carlo summation of the diagrams. We present generalization to the cluster of impurities, which is at…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule

The diagramatic Monte Carlo method has so far been primarily used in connection with the weak coupling expansion. Here we show that the strong coupling expansion offers a significant advantage: it can be efficiently implemented on both the…

Strongly Correlated Electrons · Physics 2023-11-17 Kristjan Haule

We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant scheme to sample diagrams for the scattering amplitude. Unlike…

Strongly Correlated Electrons · Physics 2020-08-13 Jia Li , Markus Wallerberger , Emanuel Gull

In the present paper, we present an efficient continuous-time quantum Monte Carlo impurity solver with high acceptance rate at low temperature for multi-orbital quantum impurity models with general interaction. In this hybridization…

Strongly Correlated Electrons · Physics 2019-02-20 Changming Yue , Yilin Wang , Junya Otsuki , Xi Dai

Near-term quantum processors are limited in terms of the number of qubits and gates they can afford. They nevertheless give unprecedented access to programmable quantum systems that can efficiently, although imperfectly, simulate quantum…

Strongly Correlated Electrons · Physics 2025-11-25 Thomas Ayral

Since the inception of the dynamical mean-field theory, numerous numerical studies have relied on the Hirsch-Fye quantum Monte Carlo (HF-QMC) method for solving the associated impurity problem. Recently developed continuous-time algorithms…

Strongly Correlated Electrons · Physics 2011-11-10 N. Blümer

Equilibrium systems evolve according to Detailed Balance (DB). This principe guided development of the Monte-Carlo sampling techniques, of which Metropolis-Hastings (MH) algorithm is the famous representative. It is also known that DB is…

Statistical Mechanics · Physics 2015-07-15 Konstantin S. Turitsyn , Michael Chertkov , Marija Vucelja

In this paper, we present an efficient and stable method to determine the one-particle Green's function in the hybridization-expansion continuous-time (CT-HYB) quantum Monte Carlo method, within the framework of the dynamical mean-field…

Strongly Correlated Electrons · Physics 2012-03-07 Gang Li , Werner Hanke

Dynamical mean-field theory (DMFT) is one of the most widely-used methods to treat accurately electron correlation effects in ab-initio real material calculations. Many modern large-scale implementations of DMFT in electronic structure…

Strongly Correlated Electrons · Physics 2019-06-05 Evan Sheridan , Cedric Weber , Evgeny Plekhanov , Christopher Rhodes

We propose that a combination of the semiclassical approximation with Monte Carlo simulations can be an efficient and reliable impurity solver for dynamical mean field theory equations and their cluster extensions with large cluster sizes.…

Strongly Correlated Electrons · Physics 2015-06-15 Hunpyo Lee , Yu-Zhong Zhang , Hoonkyung Lee , Yongkyung Kwon , Harald O. Jeschke , Roser Valenti

Quantum impurity solvers are the computational bottleneck of quantum embedding approaches to correlated materials, such as dynamical mean-field theory (DMFT). We show that neural networks trained on synthetic, material-agnostic data learn…

Strongly Correlated Electrons · Physics 2026-03-25 Agnes Valenti , Ina Park , Antoine Georges , Andrew J. Millis , Olivier Parcollet

Impurity solvers play an essential role in the numerical investigation of strongly correlated electrons systems within the "dynamical mean field" approximation. Recently, a new class of continuous-time solvers has been developed, based on a…

Strongly Correlated Electrons · Physics 2011-11-09 Emanuel Gull , Philipp Werner , Andrew J. Millis , Matthias Troyer

An acceleration of continuous time quantum Monte Carlo (CTQMC) methods is a potentially interesting branch of work as they are matchless as impurity solvers of a density functional theory in combination with a dynamical mean field theory…

Strongly Correlated Electrons · Physics 2019-08-07 Taegeun Song , Hunpyo Lee

We propose a novel technique for speeding up the self-learning Monte Carlo method applied to the single-site impurity model. For the case where the effective Hamiltonian is expressed by polynomial functions of differences of imaginary-time…

Strongly Correlated Electrons · Physics 2021-06-23 Ruixiao Cao , Synge Todo

With the success of dynamical mean field theories, solvers for quantum-impurity problems have become an important tool for the numerical study of strongly correlated systems. Continuous-time Quantum Monte Carlo sampling of the expansion in…

Strongly Correlated Electrons · Physics 2014-04-17 P. Sémon , G. Sordi , A. -M. S. Tremblay
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