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Building on the mapping of large-$S$ spin chains onto the O($3$) nonlinear $\sigma$ model with coupling constant $2/S$, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy,…

Strongly Correlated Electrons · Physics 2019-07-22 Samuel Gozel , Frédéric Mila , Ian Affleck

The effects of boundary impurities on the entanglement entropy in an antiferromagnetic Heisenberg opened spin-$1/2$ chain are investigated. The method of density-matrix renormalization-group is used to obtain the bipartite entanglement. The…

Quantum Physics · Physics 2015-05-19 Jie Ren , Shiqun Zhu , Xiang Hao

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is…

Statistical Mechanics · Physics 2012-11-07 D. Peters , I. P. McCulloch , W. Selke

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat,…

Strongly Correlated Electrons · Physics 2009-10-31 Tao Xiang

The antiferromagnetic Heisenberg Hamiltonian is investigated on a truncated tetrahedron, which is a closed 12 site system. We find that the ground state has many similarities to that of $C_{60}$. We study 2- and 4-spin correlations in the…

Condensed Matter · Physics 2009-10-22 D. Coffey , S. A. Trugman

The multi-layer $S={1\over 2}$ square lattice Heisenberg antiferromagnet with up to 6 layers is studied via various series expansions. For the systems with an odd number of coupled planes, the ground-state energy, staggered magnetization,…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong

We present a systematic study of coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field. We investigate several effects of the staggered field in the {\em higher} ({\em two or three}) {\em dimensional} spin…

Strongly Correlated Electrons · Physics 2009-11-10 Masahiro Sato , Masaki Oshikawa

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

We investigate the dynamical quadrupole structure factor of a spin-1/2 $J_{1}$-$J_{2}$ Heisenberg chain with competing ferromagnetic $J_{1}$ and antiferromagnetic $J_{2}$ in a magnetic field by exploiting density-matrix renormalization…

Strongly Correlated Electrons · Physics 2018-06-06 Hiroaki Onishi

We investigate antiferromagnetic spin chains, which are coupled by a weak antiferromagnetic exchange interaction on a hexagonal lattice. We particulary study the role of the dipole-dipole interaction within the framework of a Heisenberg…

Statistical Mechanics · Physics 2009-10-31 M. Hummel , C. Pich , F. Schwabl

The field-theoretical result for the low-$T$ behaviour of the correlation length of the quantum Heisenberg antiferromagnet on the square lattice was recently improved by Hasenfratz [Eur. Phys. J. B {\bf 13}, 11 (2000)], who corrected for…

Statistical Mechanics · Physics 2007-05-23 Bernard B. Beard , Alessandro Cuccoli , Ruggero Vaia , Paola Verrucchi

We analyze the logarithmic corrections due to ferromagnetic impurity ending bonds of open spin 1/2 antiferromagnetic chains, using the density matrix renormalization group technique. A universal finite size scaling $\sim {\frac 1 {L \log…

Strongly Correlated Electrons · Physics 2019-08-17 Jizhong Lou , Jianhui Dai , Shaojin Qin , Zhaobin Su , Lu Yu

A s=1/2 antiferromagnetic spin chain is equivalent to the two-flavor massless Schwinger model in an uniform background charge density in the strong coupling. The gapless mode of the spin chain is represented by a massless boson of the…

Statistical Mechanics · Physics 2009-10-30 Yutaka Hosotani

Motivated by the lack of direct evidence with inelastic neutron scattering of the well documented bound state of Heisenberg ferromagnets, we use the time-dependent Thermal Density Matrix Renormalization Group algorithm to study the…

Strongly Correlated Electrons · Physics 2022-03-07 Mithilesh Nayak , Frédéric Mila

Motivated by the possibility to load multi-color fermionic atoms in optical lattices, we study the entropy dependence of the properties of the one-dimensional antiferromagnetic SU(N) Heisenberg model, the effective model of the SU(N)…

Quantum Gases · Physics 2012-12-05 Laura Messio , Frédéric Mila

We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics…

Strongly Correlated Electrons · Physics 2024-01-02 Flávia B. Ramos , Andrew Urichuk , Imke Schneider , Jesko Sirker

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit \Delta -> -1^+ for both open and periodic boundary conditions. At \Delta=-1 (ferromagnetic point) the model is equivalent to the Heisenberg ferromagnet and…

Strongly Correlated Electrons · Physics 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

We apply the rotation-invariant Green's function method to study the finite-temperature properties of a $S{=}1/2$ sawtooth-chain (also called $\Delta$-chain) antiferromagnetic Heisenberg model at the fully frustrated point when the exchange…

Strongly Correlated Electrons · Physics 2023-05-09 Taras Hutak , Taras Krokhmalskii , Oleg Derzhko , Johannes Richter

We present a series expansion study of spin-S square-lattice Heisenberg antiferromagnets. The numerical data are in excellent agreement with recent neutron scattering measurements. Our key result is that the correlation length for S>1/2…

Condensed Matter · Physics 2009-10-28 N. Elstner , A. Sokol , R. R. P. Singh , M. Greven , R. J. Birgeneau

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of…

Strongly Correlated Electrons · Physics 2017-12-20 P. Adelhardt , J. Gritsch , M. Hille , D. A. Reiss , K. P. Schmidt