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Working in a subspace with dimensionality much smaller than the dimension of the full Hilbert space, we deduce exact 4-particle ground states in 2D samples containing hexagonal repeat units and described by Hubbard type of models. The…

Strongly Correlated Electrons · Physics 2014-06-26 Reka Trencsenyi , Konstantin Glukhov , Zsolt Gulacsi

While the concept of the entanglement spectrum has heretofore been utilized to address various many-body systems, the models describing an itinerant spinless-fermion excitation coupled to zero-dimensional bosons (e.g. dispersionless…

Quantum Physics · Physics 2023-12-04 Vladimir M. Stojanovic

We study a class of exactly solvable models for strongly correlated electrons, defined on a set of N cells, and with infinite on-site repulsion on part of the sites of each cell. For 2N or more electrons the exact ground state is known. We…

Condensed Matter · Physics 2009-10-28 Andreas Giesekus , Uwe Brandt

We introduce a quantum spin-1/2 model hosting two exact plaquette singlet ground states in extended parameter regimes. There is an exact phase transition between both phases, at which the system has an extensive ground-state degeneracy.…

Strongly Correlated Electrons · Physics 2020-05-05 C. Boos , K. P. Schmidt

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

We present exact ground states in spin models with orbital generacy in one and higher dimensions. A method to obtain the exact ground states of the models when the Hamiltonians are composed of the products of two commutable operators is…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuhito Itoh

We report exact multielectronic ground-states dependent on electron concentration for quantum mechanical two-dimensional disordered two-band type many body models in the presence of disordered hoppings and disordered repulsive finite…

Disordered Systems and Neural Networks · Physics 2009-11-10 Zsolt Gulacsi

Very accurate wave functions are calculated for small transition metal oxide molecules. These wave functions are decomposed using reduced density matrices to study the underlying correlation of electrons. The correlation is primarily of…

Strongly Correlated Electrons · Physics 2015-06-11 Lucas K. Wagner

Magnetic phases with quantum entanglement are often expressed in terms of parton wavefunctions. Relatively few examples are known where wavefunctions can be directly written down in the spin basis. In this article, we consider the spin-$S$…

Strongly Correlated Electrons · Physics 2025-09-29 Alwyn Jose Raja , Rajesh Narayanan , R. Ganesh

We construct a set of exact ground states with a localized ferromagnetic domain wall and an extended spiral structure in a deformed flat-band Hubbard model. In the case of quarter filling, we show the uniqueness of the ground state with a…

Statistical Mechanics · Physics 2007-05-23 Makoto Homma , Chigak Itoi

Understanding coupled electron-phonon systems is one of the fundamental issues in strongly correlated systems. In this work, we aim to extend the notion of mixed-state phases to the realm of coupled electron/spinphonon systems.…

Strongly Correlated Electrons · Physics 2025-03-11 Brett Min , Yuxuan Zhang , Yuxuan Guo , Dvira Segal , Yuto Ashida

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

We investigate, by numerically calculating the charge stiffness, the effects of random diagonal disorder and electron-electron interaction on the nature of the ground state in the 2D Hubbard model through the finite size exact…

Strongly Correlated Electrons · Physics 2009-10-31 R. Kotlyar , S. Das Sarma

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

Knowledge of the ground state of a homogeneous quantum many-body system can be used to find the exact ground state of a dual inhomogeneous system with a confining potential. For the complete family of parent Hamiltonians with a ground state…

Quantum Physics · Physics 2020-10-23 Adolfo del Campo

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of Na three- level atoms interacting with a one-mode quantised electromagnetic field, with and without the…

Quantum Physics · Physics 2015-10-22 R. López-Peña , S. Cordero , E. Nahmad-Achar , O. Castaños

The introduction of non-Hermiticity has greatly enriched the research field of traditional condensed matter physics, and eventually led to a series of discoveries of exotic phenomena. We investigate the effect of non-Hermitian imaginary…

Strongly Correlated Electrons · Physics 2021-06-30 X. Z. Zhang , Z. Song

We investigate the ground states of 1D continuum models having short-range ferromagnetic type interactions and a wide class of competing longer-range antiferromagnetic type interactions. The model is defined in terms of an energy…

Statistical Mechanics · Physics 2013-05-29 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

In this paper the spin configurations of the ground state and one- and two-electron excited states of the Hubbard model on the square lattice are studied. We profit from a general rotated-electron description, which is consistent with the…

Strongly Correlated Electrons · Physics 2010-04-13 J. M. P. Carmelo

Conformal field theory has turned out to be a powerful tool to derive interesting lattice models with analytical ground states. Here, we investigate a class of critical, one-dimensional lattice models of fermions and hardcore bosons related…

Quantum Physics · Physics 2019-06-28 Dillip K. Nandy , N. S. Srivatsa , Anne E. B. Nielsen