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We study a period-4 antiferromagnetic mixed quantum spin chain consisting of three kinds of spins. When the ground state is singlet, the spin magnitudes in a unit cell are arrayed as (s-t, s, s+t, s) with integer or half-odd integer s and t…

Strongly Correlated Electrons · Physics 2016-08-31 Ken'ichi Takano

We examine a periodic mixed spin chain with spin magnitudes 1/2 and 1 which are arrayed as 1/2-1/2-1-1. The three independent parameters are ratios of the four exchange couplings. We determine phase boundaries in the parameter space by…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano

We examine a chain of periodic arrays of 4 quantum spins with magnitudes of 1/2, 1, 3/2 and 1. There are four kinds of nearest-neighbour exchange parameters among them. We choose two independent parameters for concreteness: one represents…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano

We study the phase diagram of a symmetric spin-1/2 Heisenberg diamond chain with additional cyclic four-spin exchange interactions. The presented analysis supplemented by numerical exact-diagonalization results for finite periodic clusters…

Strongly Correlated Electrons · Physics 2009-03-17 N. B. Ivanov , J. Richter , J. Schulenburg

We present the phase diagram of the $S=1/2$ Heisenberg model on the two leg ladder with cyclic four spin exchange, determined by a combination of Exact Diagonalization and Density Matrix Renormalization Group techniques. We find six…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , G. Schmid , M. Troyer

We study a frustrated mixed spin chain with side chains, where the spin species and the exchange interactions are spatially varied. A nonlinear sigma model method is formulated for this model, and a phase diagram with two disordered…

Strongly Correlated Electrons · Physics 2008-08-23 Ken'ichi Takano , Kazuo Hida

We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra $sl(2|1)$. Upon alternation of such a representation with its dual this model…

Statistical Mechanics · Physics 2012-05-16 Holger Frahm , Márcio J. Martins

A model of two-leg spin-S ladder with two additional frustrating diagonal exchange couplings J_{D}, J_{D}' is studied within the framework of the nonlinear sigma model approach. The phase diagram has a rich structure and contains 2S gapless…

Strongly Correlated Electrons · Physics 2009-10-31 C. -M. Nedelcu , A. K. Kolezhuk , H. -J. Mikeska

We investigate the phase diagram of a quantum spin-1 chain whose Hamiltonian is invariant under a global onsite $A_4$, translation and lattice inversion symmetries. We detect different gapped phases characterized by SPT order and symmetry…

Strongly Correlated Electrons · Physics 2016-07-29 Abhishodh Prakash , Colin G. West , Tzu-Chieh Wei

The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

Strongly Correlated Electrons · Physics 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

The XXZ spin-half chain has Heisenberg exchange interactions $J_z$ ($J_\perp$) in the $z$ ($x,y$) direction. The model has a transition from the spin-fluid phase for $-J_\perp < J_z < J_\perp$ to the N\'{e}el phase for $J_z > J_\perp >0$.…

Strongly Correlated Electrons · Physics 2024-06-26 B. F. Márquez , N. Aucar Boidi , K. Hallberg , A. A. Aligia

We study the phase diagram of S=3/2 and S=2 bond-alternating spin chains numerically. In previous papers, the phase diagram of S=1 XXZ spin chain with bond-alternation was shown to reflect the hidden $Z_{2}\times Z_{2}$ symmetry. But for…

Statistical Mechanics · Physics 2009-10-30 Atsuhiro Kitazawa , Kiyohide Nomura

The quantum phases in a spin-1 skewed ladder system formed by alternately fusing five- and seven-membered rings are studied numerically using the exact diagonalization technique up to 16 spins and using the density matrix renormalization…

Strongly Correlated Electrons · Physics 2021-10-12 Sambunath Das , Dayasindhu Dey , Manoranjan Kumar , S. Ramasesha

We study the phase diagram of the spin-orbital model in both the weak and strong limits of the quartic spin-orbital exchange interaction. This allows us to study quantum phase transitions in the model and to approach from both sides the…

Condensed Matter · Physics 2009-11-07 E. Zasinas , O. P. Sushkov , J. Oitmaa

We investigate the spin chain model composed of periodic array of two kinds of spins $S_1$ and $S_2$, which allows us to study the spin chains with impurities as well as the alternating spin chains in a unified fashion. By using the…

Statistical Mechanics · Physics 2009-10-30 T. Fukui , N. Kawakami

The charge spin-separation, pseudogap formation and phase diagrams are studied in two and four site Hubbard clusters using analytical diagonalization and grand canonical ensemble method in a multidimensional parameter space of temperature,…

Strongly Correlated Electrons · Physics 2016-08-31 Armen N. Kocharian , Gayanath W. Fernando , James W. Davenport

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

Statistical Mechanics · Physics 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

We investigate the spin and orbital correlations of a superexchange model with spin $S=1$ and orbital $L=1$ relevant for $5d^4$ transition metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG).…

Strongly Correlated Electrons · Physics 2020-04-15 Shi Feng , Niravkumar D. Patel , Panjin Kim , Jung Hoon Han , Nandini Trivedi

We derive a non-linear sigma model (NLSM) generally representing antiferromagnetic Heisenberg spin chains with inhomogeneous spin magnitudes and inhomogeneous nearest-neighbor exchange constants arrayed in finite periods. Only a restriction…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano
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