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A novel Bethe ansatz scheme is proposed to investigate the exact physical properties of an integrable anisotropic quantum spin chain with competing interactions among the nearest, next nearest neighbor and chiral three spin couplings, where…

Mathematical Physics · Physics 2022-02-09 Wei Wang , Yi Qiao , Junpeng Cao , Wu-Ming Liu , Rong-Hua Liu

A novel Bethe Ansatz scheme is proposed to calculate physical properties of quantum integrable systems without $U(1)$ symmetry. As an example, the anti-periodic XXZ spin chain, a typical correlated many-body system embedded in a topological…

Mathematical Physics · Physics 2020-09-29 Yi Qiao , Pei Sun , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without $U(1)$ symmetry, their spectra are usually given by inhomogeneous $T-Q$…

Mathematical Physics · Physics 2021-11-12 Xiong Le , Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study the thermodynamic limit of the antiperiodic XXZ spin chain with the anisotropic parameter $\eta=\frac{\pi i}{3}$. We parameterize eigenvalues of the transfer matrix by their zero points instead of Bethe roots. We obtain patterns of…

Mathematical Physics · Physics 2021-12-15 Pei Sun , Jintao Yang , Yi Qiao , Junpeng Cao , Wen-Li Yang

The thermodynamic properties of the XXZ spin chain with integrable open boundary conditions at the gaped region (i.e., the anisotropic parameter $\eta$ being a real number) are investigated.It is shown that the contribution of the…

Strongly Correlated Electrons · Physics 2019-08-16 Pei Sun , Zhi-Rong Xin , Yi Qiao , Kun Hao , Like Cao , Junpeng Cao , Tao Yang , Wen-Li Yang

An integrable anisotropic Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and scalar chirality terms is constructed. After proving the integrability, we obtain the exact solution of the system. The…

Mathematical Physics · Physics 2020-06-03 Yi Qiao , Pei Sun , Zhirong Xin , Junpeng Cao , Wen-Li Yang

The antiferromagnetic $J_1-J_2$ model is a spin-1/2 chain with isotropic exchange $J_1 > 0$ between first neighbors and $J_2 = \alpha J_1$ between second neighbors. The model supports both gapless quantum phases with nondegenerate ground…

Strongly Correlated Electrons · Physics 2021-06-29 Sudip Kumar Saha , Manodip Routh , Manoranjan Kumar , Zoltán G. Soos

We study general features of the excitation spectrum of a system of one-dimensional chiral spinless fermions with short-range interactions. We show that the nature of the elementary excitations of such a system depends strongly on the…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 K. A. Matveev

An exactly solvable spin-electron tetrahedral chain, where the Ising spins localized at nodal lattice sites regularly alternate with three equivalent lattice sites available for one mobile electron is considered. The system with…

Statistical Mechanics · Physics 2016-08-12 Lucia Galisova

Elementary excitations in condensed matter capture the complex many-body dynamics of interacting basic entities in a simple quasiparticle picture. In magnetic systems the most established quasiparticles are magnons, collective excitations…

Strongly Correlated Electrons · Physics 2019-05-07 M. Pregelj , A. Zorko , M. Gomilšek , M. Klanjšek , O. Zaharko , J. S. White , H. Luetkens , F. Coomer , T. Ivek , D. R. Góngora , H. Berger , D. Arčon

An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For…

High Energy Physics - Theory · Physics 2014-11-18 St. Meissner , B. -D. Doerfel

We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the $U(1)$-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy…

Mathematical Physics · Physics 2024-10-16 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

We investigate the thermodynamic limit of the one-dimensional ferromagnetic XXZ model with twisted (or antiperiodic ) boundary condition. It is shown that the distribution of the Bethe roots of the inhomogeneous Bethe Ansatz equations…

Mathematical Physics · Physics 2018-10-30 Yi Qiao , Zhirong Xin , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Possible types of elementary excitations in the symmetric spin-orbital model on the a square lattice are analyzed using a spherically symmetric self-consistent approach. The excitation spectra are calculated. The behavior of the…

Strongly Correlated Electrons · Physics 2015-05-28 M. Y. Kagan , K. I. Kugel , A. V. Mikheyenkov , A. F. Barabanov

Using the recently proposed bond-operator technique (BOT), we discuss spin dynamics of the Heisenberg spin-$\frac12$ antiferromagnet with the ring exchange and small interactions between the second- and the third-neighbor spins on the…

Strongly Correlated Electrons · Physics 2026-03-31 A. V. Syromyatnikov

We investigate the zero-temperature coarsening dynamics of a chain of Ising spins with a nearest-neighbor ferromagnetic and an nth-neighbor antiferromagnetic interactions. For sufficiently large antiferromagnetic interaction, the ground…

Statistical Mechanics · Physics 2009-10-31 S. Redner , P. L. Krapivsky

An integrable Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and Dzyaloshinski-Moriya interacton is constructed. The integrability of the model is proven. Based on the Bethe Ansatz solutions, the…

Mathematical Physics · Physics 2018-12-27 Yi Qiao , Zhirong Xin , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Quantum dynamics of strongly correlated systems is a challenging problem. Although the low energy fractional excitations of one dimensional integrable models are often well-understood, exploring quantum dynamics in these systems remains…

Strongly Correlated Electrons · Physics 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

We studied the thermodynamics of the one-dimensional J1-J2 spin-1/2 Heisenberg chain for ferromagnetic nearest-neighbor bonds J1 < 0 and frustrating antiferromagnetic next-nearest-neighbor bonds J1 > 0 using full diagonalization of finite…

Strongly Correlated Electrons · Physics 2011-09-15 J. Richter , M. Härtel , D. Ihle , S. -L. Drechsler

We investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

Strongly Correlated Electrons · Physics 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima
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