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We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the…

统计力学 · 物理学 2012-07-16 Zoran Ristivojevic , Aleksandra Petkovic , Thierry Giamarchi

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in…

统计力学 · 物理学 2011-06-01 Jie Ren

We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie , Erik S. Sorensen , Ming-Shyang Chang , Ian Affleck

Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

凝聚态物理 · 物理学 2007-05-23 H. G. Evertz , D. P. Landau

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

强关联电子 · 物理学 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik

A modified density matrix renormalization group (DMRG) algorithm is applied to the zigzag spin-1/2 chain with frustrated antiferromagnetic exchange $J_1$, $J_2$ between first and second neighbors. The modified algorithm yields accurate…

强关联电子 · 物理学 2015-05-18 Manoranjan Kumar , Zoltan G. Soos , Diptiman Sen , S. Ramasesha

We study the phase diagram of a one-dimensional version of the Kitaev spin-1/2 model with an extra ``$\Gamma$-term", using analytical, density matrix renormalization group and exact diagonalization methods. Two intriguing phases are found.…

强关联电子 · 物理学 2020-04-15 Wang Yang , Alberto Nocera , Tarun Tummuru , Hae-Young Kee , Ian Affleck

Dynamical charge structure factor $N(Q,\omega)$ with $Q$ smaller than the Fermi wave number is derived analytically for the one-dimensional supersymmetric t-J model with $1/r^2$ interaction. Strong spin-charge separation in dynamics is…

强关联电子 · 物理学 2009-10-31 Mitsuhiro Arikawa , Takashi Yamamoto , Yasuhiro Saiga , Yoshio Kuramoto

Every solution of the Bethe-ansatz equations (BAE) is characterized by a set of quantum numbers, by which we can evaluate it numerically. However, no general rule is known how to give quantum numbers for the physical solutions of BAE. For…

统计力学 · 物理学 2016-04-20 Tetsuo Deguchi , Pulak Ranjan Giri

We study the time evolution of the spin-1/2 XXZ chain initialized in a domain wall state, where all spins to the left of the origin are up, all spins to its right are down. The focus is on exact formulae, which hold for arbitrary finite…

统计力学 · 物理学 2022-05-04 Jean-Marie Stéphan

We investigate the anisotropic integrable spin chain consisting of spins $s={1/2}$ and $s=1$ by means of thermodynamic Bethe ansatz for the anisotropy $\gamma>\pi/3$, where the analysis of the Takahashi conditions leads to a more…

高能物理 - 理论 · 物理学 2008-11-26 B. -D. Doerfel , St. Meissner

Using the density-matrix renormalization-group technique we study the long-wavelength properties of the spin S=3/2 nearest-neighbor Heisenberg chain. We obtain an accurate value for the spin velocity v=3.8+- 0.02, in agreement with…

凝聚态物理 · 物理学 2009-10-28 K. Hallberg , X. Q. G. Wang , P. Horsch , A. Moreo

Every solution of the Bethe ansatz equations (BAE) is characterized by a set of quantum numbers called the Bethe quantum numbers, which are fundamental for evaluating it numerically. We rigorously derive the Bethe quantum numbers for the…

数学物理 · 物理学 2024-09-10 Takashi Imoto , Tetsuo Deguchi

We present a study of the one-dimensional S=1 antiferromagnetic spin chain with large easy plane anisotropy, with special emphasis on field-induced quantum phase transitions. Temperature and magnetic field dependence of magnetization,…

强关联电子 · 物理学 2014-07-02 C. Psaroudaki , J. Herbrych , J. Karadamoglou , P. Prelovšek , X. Zotos , N. Papanicolaou

We propose a new multiple integral representation for the correlation function <sigma_1^z sigma_{m+1}^z> of the XXZ spin-1/2 Heisenberg chain in the disordered regime. We show that for Delta=1/2 the integrals can be separated and computed…

高能物理 - 理论 · 物理学 2011-02-16 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused…

统计力学 · 物理学 2015-07-16 Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We examine dynamic structure factors of spin-1/2 chains with nearest-neighbor interactions of XX and Dzyaloshinskii-Moriya type, and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can…

强关联电子 · 物理学 2008-02-05 Taras Verkholyak , Oleg Derzhko , Taras Krokhmalskii , Joachim Stolze

We provide a basis transformation that inverts the coordinate Bethe Ansatz. It is widely believed that the Bethe Ansatz is complete, based on numerical evidence and combinatorial arguments. We present a constructive and comprehensive…

数学物理 · 物理学 2025-06-18 Eric I. Corwin , Nikolaus Elsaesser , Axel Saenz

We present new integrable models of interacting spin-1/2 chains, which can be interpreted as hard rod deformations of the XXZ Heisenberg chains. The models support multiple particle types: dynamical hard rods of length $\ell$ and particles…

统计力学 · 物理学 2022-01-05 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk

Multisite interaction spin-S models in an external magnetic field are studied recursively on the Bethe-like lattices. The transfer-matrix method is extended to calculate exactly the two-spin correlation functions. The exact expressions for…

统计力学 · 物理学 2009-10-31 R. G. Ghulghazaryan