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A canonical transformation of a new type is offered as the mean for studying properties of a system of strongly correlated electrons. As an example of the utility of the transformation, it is used to demonstrate the existence of a quantum…

Strongly Correlated Electrons · Physics 2014-03-14 Valentin Voroshilov

Hubbard-type models on the hexagonal lattice are of great interest, as they provide realistic descriptions of graphene and other related materials. Hybrid Monte Carlo simulations offer a first-principles approach to study their phase…

Strongly Correlated Electrons · Physics 2021-06-22 Dominik Smith , Pavel Buividovich , Michael Körner , Maksim Ulybyshev , Lorenz von Smekal

We use high-temperature series expansions to obtain thermodynamic properties of the quantum compass model, and to investigate the phase transition on the square and simple cubic lattices. On the square lattice we obtain evidence for a phase…

Strongly Correlated Electrons · Physics 2016-11-25 J. Oitmaa , C. J. Hamer

We study quantum entanglement in one-dimensional correlated fermionic system. Our results show, for the first time, that entanglement can be used to identify quantum phase transitions in fermionic systems.

Quantum Physics · Physics 2009-11-10 Shi-Jian Gu , Shu-Sa Deng , You-Quan Li , Hai-Qing Lin

The Hubbard model describes interacting electrons on a lattice,a situation which occurs in various solid state materials and devices. The aim of the present paper is to briefly discuss this model and its applications in the study of…

Materials Science · Physics 2010-01-20 V. Celebonovic

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi

The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such…

Quantum Physics · Physics 2015-11-06 Denis I. Borisov , Frantisek Ruzicka , Miloslav Znojil

We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evidence for the occurrence of a transition to a phase with…

Statistical Mechanics · Physics 2011-11-09 Daniel Gandolfo , Jean Ruiz , Daniel Ueltschi

The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero…

Strongly Correlated Electrons · Physics 2011-11-10 T. A. Costi , A. Liebsch

Recent developments in quantum computing suggest that it could be possible to make conditional changes to the state of a quantum mechanical system without resorting to classical observation. It is accomplished through collective response of…

Quantum Physics · Physics 2007-05-23 Sarnath Ramnath , Kevin Haglin

We investigate the quantum phase transitions in strongly correlated electronic systems at $T=0^0K$ by the example of the 2D Hubbard model. The model for numerical calculations were formalized in terms of the integral equations previously…

Strongly Correlated Electrons · Physics 2024-08-23 N. I. Chashchin

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems, and serves as the paradigmatic model of the field. Despite its simplicity, it exhibits a strikingly rich phenomenology which is…

Strongly Correlated Electrons · Physics 2022-03-31 Daniel P. Arovas , Erez Berg , Steven Kivelson , Srinivas Raghu

In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to…

Quantum Gases · Physics 2015-03-20 Tomasz Sowiński

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

The algebra of generalized linear quantum canonical transformations is examined in the prespective of Schwinger's unitary-canonical basis. Formulation of the quantum phase problem within the theory of quantum canonical transformations and…

Quantum Physics · Physics 2008-11-26 T. Hakioglu

We implement a computational pipeline based on a recent machine learning technique, namely the Topological Data Analysis (TDA), that has the capability of extracting powerful information-carrying topological features. We apply such a method…

Strongly Correlated Electrons · Physics 2025-03-11 Andrea Tirelli , Natanael C. Costa

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

Quantum Physics · Physics 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

Describing correlated electron systems near phase transitions has been a major challenge in computational condensed-matter physics. In this paper, we apply highly accurate fixed node quantum Monte Carlo techniques, which directly work with…

Strongly Correlated Electrons · Physics 2018-01-10 Li Chen , Lucas K. Wagner
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