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相关论文: Is there an attraction between spinons in the Hald…

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We use thermodynamic Bethe ansatz to study nonrelativistic scattering theory of low energy excitations of 1D Hubbard model, using the $S$-matrices proposed by E\ss ler and Korepin. This model can be described by two types of excitation…

高能物理 - 理论 · 物理学 2010-02-05 Changrim Ahn , Kong-Ju-Bock Lee , Soonkeon Nam

We derive the representation of the two-spinon wavefunction for the Haldane-Shastry model in terms of the spinon coordinates. This result allows us to rigorously analyze spinon interaction and its physical effects. We show that spinons…

凝聚态物理 · 物理学 2009-10-31 B. A. Bernevig , D. Giuliano , R. B. Laughlin

The mapping between the fermion and spinon compositions of eigenstates in the one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe the spinon interaction from two different perspectives: (i) For finite N the…

强关联电子 · 物理学 2009-11-13 Michael Karbach , Gerhard Muller , Klaus Wiele

By deriving and studying the coordinate representation for the two-spinon wavefunction, we show that spinon excitations in the Haldane-Shastry model interact. The interaction is given by a short-range attraction and causes a resonant…

强关联电子 · 物理学 2009-10-31 B. A. Bernevig , D. Giuliano , R. B. Laughlin

The elementary excitations of strongly correlated one-dimensional electronic systems - spinons and holons - are discussed in an exact solution of the Haldane-Shastry and Kuramoto-Yokoyama model. We derive and exactly solve the equation of…

强关联电子 · 物理学 2007-05-23 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

Various aspects of the Haldane-Shastry spin chain with 1/r^2 exchange, and its various generalizations, are reviewed, with emphasis on its Yangian quantum group structure, and the interpretation of the model as the generalization of an…

凝聚态物理 · 物理学 2016-08-31 F. D. M. Haldane

In this paper we study the exact solution of a one-dimensional model of spin-$\frac{1}{2}$ electrons composed by a nearest-neighbor triplet pairing term and the on-site Hubbard interaction. We argue that this model admits a Bethe ansatz…

数学物理 · 物理学 2020-08-26 M. J. Martins

We present a family of spin ladder models which admit exact solution for the ground state and exhibit non-Haldane spin liquid properties as predicted recently by Nersesyan and Tsvelik [Phys. Rev. Lett. v.78, 3939 (1997)], and study their…

强关联电子 · 物理学 2009-10-30 A. K. Kolezhuk , H. -J. Mikeska

By a semi-analytical Bethe ansatz method and a T-matrix approach we study the scattering of a spinon, the elementary quantum many-body topological excitation in the 1D Heisenberg model, by local and phonon potentials. In particular, we…

统计力学 · 物理学 2019-11-05 A. Pavlis , X. Zotos

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and…

强关联电子 · 物理学 2010-01-25 H. Nonne , P. Lecheminant , S. Capponi , G. Roux , E. Boulat

We present a new selection rule for matrix elements of local spin operators in the $S=1/2$ ``Haldane-Shastry'' model. Based on this rule we extend a recent exact calculation \cite{H93} of the ground-state dynamical spin correlation function…

凝聚态物理 · 物理学 2009-10-22 J. C. Talstra , F. D. M. Haldane

Using exact Bethe ansatz solution, we rigorously study excitation spectra of the spin-1/2 Fermi gas (called Yang-Gaudin model) with an attractive interaction. Elementary excitations of this model involve particle-hole excitations, hole…

量子气体 · 物理学 2023-05-16 Jia-Feng Pan , Jia-Jia Luo , Xi-Wen Guan

The Haldane-Shastry model is one of the most studied interacting spin systems. The Yangian symmetry makes it exactly solvable, and the model has semionic excitations. We introduce disorder into the Haldane-Shastry model by allowing the…

无序系统与神经网络 · 物理学 2020-07-10 Shriya Pai , N. S. Srivatsa , Anne E. B. Nielsen

The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the…

强关联电子 · 物理学 2015-03-13 Masanori Kohno , Mitsuhiro Arikawa , Jun Sato , Kazumitsu Sakai

We address the question how a correspondence between the particle like excitations in the one dimensional Hubbard model (i.e. ``holons'' and ``spinons'') and the free fermionic picture can be established in the limit of vanishing…

凝聚态物理 · 物理学 2009-10-28 H. Frahm , M. P. Pfannmüller

We study the trigonometric quantum spin-Calogero-Sutherland model, and the Haldane-Shastry spin chain as a special case, using a Bethe-ansatz analysis. We harness the model's Yangian symmetry to import the standard tools of integrability…

数学物理 · 物理学 2025-03-27 Gwenaël Ferrando , Jules Lamers , Fedor Levkovich-Maslyuk , Didina Serban

We calculate the exact dynamical magnetic structure factor S(Q,E) in the ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2 spinon excitations, the Haldane-Shastry model with inverse-square exchange, which is in…

凝聚态物理 · 物理学 2009-10-22 F. D. M. Haldane , M. R. Zirnbauer

We investigate the entanglement content of the ground state of a system characterized by effective elementary degrees of freedom with fractional statistics. To this end, we explicitly construct the ground state for a chain of $N$ spins with…

强关联电子 · 物理学 2015-05-14 D. Giuliano , A. Sindona , G. Falcone , F. Plastina , L. Amico

We theoretically study a spin Hamiltonian for spin-orbit-coupled ferromagnets on the honeycomb lattice. We find that the effective Hamiltonian for magnons, a quanta of spin-wave excitations from ordered states, is equivalent to the Haldane…

介观与纳米尺度物理 · 物理学 2016-11-28 Se Kwon Kim , Héctor Ochoa , Ricardo Zarzuela , Yaroslav Tserkovnyak

Spin transport properties of the quantum one-dimensional non-linear sigma model are studied based upon the Bethe ansatz exact solution for the O(3) sigma model and the 1/N-expansion approach for the O(N) sigma model. It is shown that the…

强关联电子 · 物理学 2009-10-31 Satoshi Fujimoto
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