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We discuss spin-$S$ antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that there exist parameter regions of the exact dimerized ground…

Strongly Correlated Electrons · Physics 2014-01-30 Zheng-Yuan Wang , Shunsuke C. Furuya , Masaaki Nakamura , Ryo Komakura

Dynamic autocorrelations $<S_i^{\alpha}(t) S_i^{\alpha}>$ (\alpha=x,z) of an isolated impurity spin in a S=1/2 XX chain are calculated. The impurity spin, defined by a local change in the nearest-neighbor coupling, is either in the bulk or…

Statistical Mechanics · Physics 2009-10-31 Joachim Stolze , Michael Vogel

The spin-$1/2$ chain with antiferromagnetic exchange $J_1$ and $J_2 = \alpha J_1$ between first and second neighbors, respectively, has both gapless and gapped ($\Delta(\alpha) > 0$) quantum phases at frustration $0 \le \alpha \le 3/4$. The…

Strongly Correlated Electrons · Physics 2020-12-02 Sudip Kumar Saha , Manoranjan Kumar , Zoltán G. Soos

The local enhancement of antiferromagnetic correlations near vacancies observed in a variety of spin systems is analyzed in a single framework. Variational calculations suggest that the resonating-valence-bond character of the spin…

Strongly Correlated Electrons · Physics 2015-06-25 George Balster Martins , Markus Laukamp , Jose Riera , Elbio Dagotto

Motivated by recent measurements on CuGeO$_3$ the spectrum of magnetic excitations of an antiferromagnetic $S=\frac{1}{2}$ chain with alternating coupling strength is investigated. Wave vector dependent magnons and a continuum with square…

Condensed Matter · Physics 2009-10-28 Götz S. Uhrig , H. J. Schulz

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adam Rycerz , Jozef Spalek

The pseudogap phenomena observed on cuprate high temperature superconductors are investigated based on the exact diagonalization method on the finite cluster t-J model. The results show the presence of the gap-like behavior in the…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Yoshinori Takahashi

We use linked cluster series expansion methods to estimate the values of various short distance correlation functions in $S=1/2$ Heisenberg antiferromagnets at T=0, for dimension $d=1,2,3$. The method incorporates the possibility of…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa

Spin models that have been proposed to describe dimerized chains, ladders, two dimensional antiferromagnets, and other compounds are here studied when some spins are replaced by spinless vacancies, such as it occurs by $Zn$ doping. A small…

We report spin wave and DMRG studies of the ground and low-lying excited states of uniform and dimerized alternating spin chains. The DMRG procedure is also employed to obtain low-temperature thermodynamic properties of the system. The…

Condensed Matter · Physics 2016-08-31 Swapan K. Pati , S. Ramasesha , Diptiman Sen

Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$\frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk…

Strongly Correlated Electrons · Physics 2015-05-13 N. Voropajeva , A. Sherman

A spin nematic is a state which breaks spin SU(2) symmetry while preserving translational and time reversal symmetries. Spin nematic order can arise naturally from charge fluctuations of a spin stripe state. Focusing on the possible…

Strongly Correlated Electrons · Physics 2009-11-10 Daniel Podolsky , Eugene Demler

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

Strongly Correlated Electrons · Physics 2009-10-31 Mamoru Usami , Sei-ichiro Suga

The ordering of the frustrated S=1/2 XY spin chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, is studied by using the density-matrix renormalization-group method. It is found that besides…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , M. Kaburagi , H. Kawamura

We study the low-energy collective excitations and dynamical response functions of weakly coupled random antiferromagnetic spin-1/2 chains. The interchain coupling leads to Neel order at low temperatures. We use the real-space…

Disordered Systems and Neural Networks · Physics 2009-11-11 Eddy Yusuf , Kun Yang

We study the frustrated ferromagnetic spin-1 chains, where the ferromagnetic nearest-neighbor coupling competes with the antiferromagnetic next-nearest-neighbor coupling. We use the density matrix renormalization group to obtain the ground…

Strongly Correlated Electrons · Physics 2017-02-01 Hyeong Jun Lee , MooYoung Choi , Gun Sang Jeon

We study magnetic and critical properties of the alternating spin antiferromagnetic Heisenberg chain with $S=1/2$ and 1 in a magnetic field at T=0. The numerical diagonalization is applied to the system up to $2N=20$ sites. Checking…

Statistical Mechanics · Physics 2009-10-30 T. Kuramoto

Below about 150 K, the spin arrangement in the chain arrays of Sr14Cu24O41 is shown to develop in two dimensions (2D). Both the correlations and the dispersion of the observed elementary excitations agree well with a model of interacting…

Strongly Correlated Electrons · Physics 2009-10-31 L. P. Regnault , J. P. Boucher , H. Moudden , J. E. Lorenzo , A. Hiess , U. Ammerahl , G. Dhalenne , A. Revcolevschi

The effects of electron correlation in the quasi-two-dimensional organic conductor \alpha-(BEDT-TTF)2I3 are investigated theoretically by using an extended Hubbard model with on-site and nearest-neighbor Coulomb interactions. A variational…

Strongly Correlated Electrons · Physics 2016-09-13 Yasuhiro Tanaka , Masao Ogata

We theoretically study spin-$1/2$ fermions confined to two spatial dimensions and experiencing isotropic short-range attraction in the presence of both spin-orbit coupling and Zeeman spin splitting - a prototypical system for developing…

Quantum Gases · Physics 2022-05-25 Ulrich Ebling , Ulrich Zülicke , Joachim Brand