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We study the non-degenerate one dimensional two-orbital Hubbard model with interorbital Coulomb interaction. By means of the density-matrix renormalization group technique, we calculate the local single-particle density of states and the…

Strongly Correlated Electrons · Physics 2024-10-14 N. Aucar Boidi , A. P. Kampf , K. Hallberg

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

Statistical Mechanics · Physics 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

We apply the dynamical mean field theory (DMFT) in the iterative perturbation theory(IPT) to doubly degenerate eg bands and triply degenerate tg bands on a simple cubic lattice and calculate the spectrum and optical conductivity in…

Strongly Correlated Electrons · Physics 2008-09-25 Oki Miura , Takeo Fujiwara

We present the consistent approach to finding the discrete transformations in the representation spaces of the proper Poincar\'e group. To this end we use the possibility to establish a correspondence between involutory automorphisms of the…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , D. M. Gitman , A. L. Shelepin

This paper develops the theory of abelian Routh reduction for discrete mechanical systems and applies it to the variational integration of mechanical systems with abelian symmetry. The reduction of variational Runge-Kutta discretizations is…

Numerical Analysis · Mathematics 2007-05-23 Sameer M. Jalnapurkar , Melvin Leok , Jerrold E. Marsden , Matthew West

In this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium…

Statistical Mechanics · Physics 2023-08-30 Marius de Leeuw , Chiara Paletta , Balázs Pozsgay

We show the existence of drifting orbits for certain perturbations of non-convex Hamiltonian systems with several degrees of freedom. These orbits remain in the vicinity of resonant surfaces where the action variables can undergo changes…

Classical Analysis and ODEs · Mathematics 2015-06-19 Borislav Yordanov , Roumyana Yordanova

With the help of the deformed Heisenberg algebra involving Klein operator, we construct the minimal set of linear differential equations for the (2+1)-dimensional relativistic field with arbitrary fractional spin, whose value is defined by…

High Energy Physics - Theory · Physics 2008-11-26 Mikhail S. Plyushchay

A construction of integrable hamiltonian systems associated with different graded realizations of untwisted loop algebras is proposed. Such systems have the form of Euler - Arnold equations on orbits of loop algebras. The proof of…

solv-int · Physics 2016-09-08 Petro Holod , Sergey Kondratiuk

We compare the effective spin-orbital super\-exchange triggered by magnetic $3d$ impurities with $d^3$ and $d^2$ configurations and either no orbital degree of freedom (orbital dilution) or hole replacing a doublon (charge dilution) in a…

Strongly Correlated Electrons · Physics 2017-01-17 Wojciech Brzezicki , Mario Cuoco , Andrzej M. Oleś

We study indirect exchange interactions between localized spins of magnetic impurities in spin-valley coupled systems described with the Kane-Mele model. Our model captures the main ingredients of the energy bands of 1H transition metal…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 M. R. Losada , A. T. Costa , B. Biel , J. Fernández-Rossier

Hubbard-like Hamiltonians are widely used to describe on-site Coulomb interactions in magnetic and strongly-correlated solids, but there is much confusion in the literature about the form these Hamiltonians should take for shells of p and d…

Strongly Correlated Electrons · Physics 2016-02-10 M. E. A. Coury , S. L. Dudarev , W. M. C. Foulkes , A. P. Horsfield , Pui-Wai Ma , J. S. Spencer

Based on the analysis of a two-orbital Hubbard model within a mean-field approach, we propose a mechanism for an orbital selective phase transition (OSPT) where coexistence of localized and itinerant electrons can be realized. We show that…

Strongly Correlated Electrons · Physics 2012-01-31 Yu-Zhong Zhang , Hunpyo Lee , Hai-Qing Lin , Chang-Qin Wu , Harald O. Jeschke , Roser Valenti

We consider a wide class of quantum spin systems obtained by adding a transverse field to a classical Hamiltonian. We give explicit high-temperature conditions which guarantee exponential decay of correlations. A stochastic-geometric…

Probability · Mathematics 2010-05-21 Alessandra Cipriani , Paolo Dai Pra

This paper contains the details of Phys. Rev. Lett. 73, 2919 (1994) and, to a lesser extent, Phys. Rev. Lett. 72, 3710 (1994). We treat a Hubbard model which includes all the 3d states of the Cu ions and the 2p states of the O ions. We also…

Condensed Matter · Physics 2009-10-28 T. Yildirim , A. B. Harris , Amnon Aharony , O. Entin-Wohlman

We define a strict deformation quantization which is compatible with any Hamiltonian with local spin interaction (e.g. the Heisenberg Hamiltonian) for a spin chain. This is a generalization of previous results known for mean-field theories.…

Mathematical Physics · Physics 2024-06-19 Nicolò Drago , Christiaan J. F. van de Ven

A deformed relativistic Hartree-Bogoliubov (DRHB) model is developed aiming at a proper description of exotic nuclei, particularly deformed ones with large spatial extension. In order to give an adequate description of both the contribution…

Nuclear Theory · Physics 2017-08-23 Shan-Gui Zhou , Jie Meng , Peter Ring

A discrete version of the WKB method is developed and applied to calculate the tunnel splittings between classically degenerate states of spin Hamiltonians. The results for particular model problems are in complete accord with those…

Condensed Matter · Physics 2009-10-31 Anupam Garg

We study spin-state transition and phase separation involving this transition based on the milti-orbital Hubbard model. Multiple spin states are realized by changing the energy separation between the two orbitals and the on-site Hund…

Strongly Correlated Electrons · Physics 2015-05-13 Ryo Suzuki , Tsutomu Watanabe , Sumio Ishihara

We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and the short pulse equation. They are related to the…

Exactly Solvable and Integrable Systems · Physics 2015-05-28 Bao-Feng Feng , Jun-ichi Inoguchi , Kenji Kajiwara , Ken-ichi Maruno , Yasuhiro Ohta