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Related papers: Binding of holons and spinons in the one-dimension…

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We consider a generalization of the one-dimensional t-J model with anisotropic spin-spin interactions. We show that the anisotropy leads to an effective attractive interaction between the spinon and holon excitations, resulting in a…

Strongly Correlated Electrons · Physics 2007-09-11 Jurij Smakov , A. L. Chernyshev , Steven R. White

We derive the coordinate representation of the one-spinon one-holon wavefunction for the supersymmetric $t-J$ model with $1/r^2$-interaction. This result allows us to show that spinon and holon attract each other at short distance. The…

Strongly Correlated Electrons · Physics 2009-11-07 B. A. Bernevig , D. Giuliano , R. B. Laughlin

For decades, it has remained an open question, whether two dopants in the $t$--$J$ model bind in the strongly correlated regime of small spin couplings versus hopping, $J \ll t$. Here, we investigate this problem in Bethe lattice structures…

Strongly Correlated Electrons · Physics 2023-08-21 K. Knakkergaard Nielsen

A new generalization of the t-J model with a nearest-neigbor hopping is formulated and solved exactly by the Bethe-ansatz method. The model describes the dynamics of spin-S fermions with isotropic or anisotropic interactions. In the case…

Statistical Mechanics · Physics 2009-10-30 F. C. Alcaraz , R. Z. Bariev

Using a phenomenological model, we discuss the consequences of spinon-holon binding in the U(1) slave-boson approach to $t-J$ model. Within a small $x$ ($x=$ hole concentration) expansion, we show that spinon-holon binding produces a…

Superconductivity · Physics 2009-11-10 Tai-Kai Ng

We investigate the effect of dimensional crossover in the ground state of the antiferromagnetic spin-$1$ Heisenberg model on the anisotropic triangular lattice that interpolates between the regime of weakly coupled Haldane chains…

Strongly Correlated Electrons · Physics 2017-11-27 M. G. Gonzalez , E. A. Ghioldi , C. J. Gazza , L. O. Manuel , A. E. Trumper

By deriving and studying the coordinate representation for the one-spinon one-holon wavefunction we show that spinons and holons in the supersymmetric $t - J$ model with $1/r^2$ interaction attract each other. The interaction causes a…

Strongly Correlated Electrons · Physics 2009-11-07 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in…

Strongly Correlated Electrons · Physics 2016-05-31 Rogier Vlijm , Jean-Sébastien Caux

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

Strongly Correlated Electrons · Physics 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

We investigate a possibility of holon pairing for bose condensation based on the Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex function…

Superconductivity · Physics 2016-08-31 Sung-Sik Lee , Sung-Ho Suck Salk

We derive the spectrum and the thermodynamics of the one-dimensional supersymmetric t-J model with long range hopping and spin exchange using a set of maximal-spin eigenstates. This spectrum confirms the recent conjecture that the…

Condensed Matter · Physics 2015-06-25 D. F. Wang , James T. Liu , P. Coleman

The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbour, next-nearest-neighbour and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one. The detailed construction…

Mathematical Physics · Physics 2020-06-03 Yi Qiao , Jian Wang , Junpeng Cao , Wen-Li Yang

Long-range and anisotropic dipolar interactions profoundly modify the dynamics of particles hopping in a periodic lattice potential. We report the realization of a generalized t-J model with dipolar interactions using a system of ultracold…

We consider the implications of spin-phonon coupling within the slave-boson, mean-field treatment of the extended t-J model of a high-temperature superconductor. In bilayer cuprates such as YBaCuO, where the $CuO_2$ plane is buckled, this…

Condensed Matter · Physics 2009-10-28 B. Normand , H. Kohno , H. Fukuyama

The evolution of hole and spin dynamics in high temperature superconductors is studied within the self-consistent noncrossing approximation of the t-J model in the small hole density limit. As the doping concentration is increased,…

Condensed Matter · Physics 2009-10-31 Bumsoo Kyung

We investigated the ground state of spin-1 bosons interacting under local two- and three-body interactions in one dimension by means of the density matrix renormalization group method. We found that the even-odd asymmetry will be obtained…

Quantum Gases · Physics 2019-03-20 A. F. Hincapie-F , R. Franco , J. Silva-Valencia

Using series expansions and spin-wave theory we calculate the spin-stiffness anisotropy $\rho_{sx}/\rho_{sy}$ in Heisenberg models on the square lattice with anisotropic couplings $J_x,J_y$. We find that for the weakly anisotropic spin-half…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh , A. Katanin , O. P. Sushkov

We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we…

High Energy Physics - Theory · Physics 2009-10-22 C. Gomez , G. Sierra

Using a time-dependent density matrix renormalization group approach, we study the dynamical structure factor of the $J_1 - J_2$ spin-1 chain. As $J_2$ increases, the magnon mode develops incommensurability. The system undergoes a…

Strongly Correlated Electrons · Physics 2025-02-06 Aman Sharma , Mithilesh Nayak , Henrik M. Rønnow , Frédéric Mila

An analytical solution of the Mott transition is obtained for the Hubbard model on the Bethe lattice in the large coordination number ($z$) limit. The excitonic binding of doublons (doubly occupied sites) and holons (empty sites) is shown…

Strongly Correlated Electrons · Physics 2016-12-15 Sen Zhou , Long Liang , Ziqiang Wang
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