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We present clear numerical evidence for the coexistence of metallic and insulating dynamical mean field theory(DMFT) solutions in a half-filled single-band Hubbard model with bare semicircular density of states at finite temperatures.…

Strongly Correlated Electrons · Physics 2009-10-31 Jaewook Joo , Viktor Oudovenko

A quantum Monte Carlo method with non-local update scheme is presented. The method is based on a path-integral decomposition and a worm operator which is local in imaginary time. It generates states with a fixed number of particles and…

Statistical Mechanics · Physics 2009-11-11 Kris Van Houcke , Stefan Rombouts , Lode Pollet

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-01-04 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We present a numerically stable Quantum Monte Carlo algorithm to calculate zero-temperature imaginary-time Green functions $ G(\vec{r}, \tau) $ for Hubbard type models. We illustrate the efficiency of the algorithm by calculating the…

Condensed Matter · Physics 2009-10-28 F. F. Assaad , M. Imada

The anisotropic degenerate two-orbital Hubbard model is studied within dynamical mean-field theory at low temperatures. High-precision calculations on the basis of a refined quantum Monte Carlo (QMC) method reveal that two distinct…

Strongly Correlated Electrons · Physics 2007-05-23 C. Knecht , N. Blümer , P. G. J. van Dongen

Ground state properties of multi-orbital Hubbard models are investigated by the auxiliary field quantum Monte Carlo method. A Monte Carlo technique generalized to the multi-orbital systems is introduced and examined in detail. The algorithm…

Strongly Correlated Electrons · Physics 2009-10-31 Yukitoshi Motome , Masatoshi Imada

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

Statistical Mechanics · Physics 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo (HMC) algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-11-01 Johann Ostmeyer

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

A new algorithm for analytic continuation of noisy quantum Monte Carlo (QMC) data from the Matsubara domain to real frequencies is proposed. Unlike the widely used maximum-entropy (MaxEnt) procedure, our method is linear with respect to…

Strongly Correlated Electrons · Physics 2011-06-29 I. S. Krivenko , A. N. Rubtsov

We have studied the impact of non-local electronic correlations at all length scales on the Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model. Combining dynamical vertex approximation, lattice quantum…

Strongly Correlated Electrons · Physics 2015-03-05 T. Schäfer , F. Geles , D. Rost , G. Rohringer , E. Arrigoni , K. Held , N. Blümer , M. Aichhorn , A. Toschi

We introduce a systematic low-energy approach to strongly correlated electron systems in infinite dimensions, and apply it to the problem of the correlation-induced metal-insulator transition in the half-filled Hubbard model. We determine…

Condensed Matter · Physics 2007-05-23 Goetz Moeller , Qimiao Si , Gabriel Kotliar , Marcelo Rozenberg

Using finite-temperature determinantal quantum Monte Carlo simulations, we examine the thermodynamic properties of the extended Hubbard model on the half-filled square lattice in the Slater regime at intermediate coupling. We consider both…

Strongly Correlated Electrons · Physics 2022-10-19 Alexander Sushchyev , Stefan Wessel

Building on recent solutions of the fermion sign problem for specific models we present two continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced Hubbard models on bipartite lattices at half-filling. For…

Strongly Correlated Electrons · Physics 2015-12-18 Ye-Hua Liu , Lei Wang

By precisely writing down the matrix element of the local Boltzmann operator, we have proposed a new path integral formulation for quantum field theory and developed a corresponding Monte Carlo algorithm. With current formula, the…

Strongly Correlated Electrons · Physics 2022-03-08 J. Wang , W. Pan , D. Y. Sun

We investigate ground state and finite temperature properties of the half-filled Hubbard model on a honeycomb lattice using quantum monte carlo and series expansion techniques. Unlike the square lattice, for which magnetic order exists at…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , R. T. Scalettar , W. Zheng , R. R. P. Singh , J. Oitmaa

Ground state properties of the Hubbard model on a two-dimensional square lattice are studied by the auxiliary-field quantum Monte Carlo method. Accurate results for energy, double occupancy, effective hopping, magnetization, and momentum…

Strongly Correlated Electrons · Physics 2016-08-10 Mingpu Qin , Hao Shi , Shiwei Zhang

We introduce two novel quantum Monte Carlo methods and employ them to study the superfluid-insulator transition in a two-dimensional system of hard-core bosons. One of the methods is appropriate for zero temperature and is based upon…

Condensed Matter · Physics 2009-10-22 Shiwei Zhang , N. Kawashima , J. Carlson , J. E. Gubernatis

The Hubbard model is an important tool to understand the electrical properties of various materials. More specifically, on the honeycomb lattice it is used to describe graphene predicting a quantum phase transition from a semimetal to a…

Strongly Correlated Electrons · Physics 2023-03-31 Johann Ostmeyer

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman
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