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The density matrix renormalization group (DMRG) method generates the low-energy states of linear systems of $N$ sites with a few degrees of freedom at each site by starting with a small system and adding sites step by step while keeping…

Strongly Correlated Electrons · Physics 2016-10-05 Manoranjan Kumar , Dayasindhu Dey , Aslam Parvej , S. Ramasesha , Zoltán G. Soos

We investigate a simple model of a frustrated spin-1/2 Heisenberg chain coupled to adiabatic phonons under an external magnetic field. Using field theoretic methods complemented by extensive Density Matrix Renormalisation Group techniques…

Strongly Correlated Electrons · Physics 2009-11-11 T. Vekua , D. C. Cabra , A. Dobry , C. Gazza , D. Poilblanc

We investigate the ground-state properties of the nearest-neighbor $S=1$ pyrochlore Heisenberg antiferromagnet using two complementary numerical methods, density-matrix renormalization group (DMRG) and pseudofermion functional…

Strongly Correlated Electrons · Physics 2023-01-18 Imre Hagymási , Vincent Noculak , Johannes Reuther

The magnetization curve of the $(S,s)=(1,1/2)$ ferrimagnetic alternating spin chain with the single-ion anisotropy $D$ is investigated with the numerical exact diagonalization of finite clusters and size-scaling analyses. The system has a…

Statistical Mechanics · Physics 2016-08-31 Toru Sakai , Kiyomi Okamoto

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

An efficient density matrix renormalization group (DMRG) algorithm is presented and applied to Y-junctions, systems with three arms of $n$ sites that meet at a central site. The accuracy is comparable to DMRG of chains. As in chains, new…

Strongly Correlated Electrons · Physics 2016-03-23 Manoranjan Kumar , Aslam Parvej , Simil Thomas , S. Ramasesha , Z. G. Soos

We investigate the origin of the 1/3 magnetization plateau in the $S=1/2$ kagome antiferromagnetic Heisenberg model using the variational Monte Carlo and exact diagonalization methods, to account for the recent experimental observations in…

Strongly Correlated Electrons · Physics 2025-09-23 Li-Wei He , Xinzhe Wang , Shun-Li Yu , Jian-Xin Li

We study isotropic antiferromagnetic Heisenberg chains coupled by antiferromagnetic Ising interaction as an effective spin model for the ytterbium aluminum perovskite YbAlO$_3$. Using the density-matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2019-06-21 Cliò Efthimia Agrapidis , Jeroen van den Brink , Satoshi Nishimoto

Dimerization of a spin-half Heisenberg antiferromagnet on a square lattice is investigated for several possible dimerized configurations, some of which are shown to have lower ground state energies than the others. In particular, the…

Superconductivity · Physics 2009-10-31 Aiman Al-Omari

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

Achieving long-range ferrimagnetic order in purely organic systems remains a major challenge in molecular magnetism. Here we report the synthesis and characterization of heterospin-coupling motifs, formed by covalently linking spin-1/2 and…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Elia Turco , Fupeng Wu , Annika Bernhardt , Nils Krane , Ji Ma , Roman Fasel , Michal Juriček , Xinliang Feng , Pascal Ruffieux

We study the magnetization process of the $S=1$ Heisenberg model on a two-leg ladder with farther neighbor spin-exchange interaction. We consider the interaction that couples up to the next-nearest neighbor rungs and find an exactly…

Strongly Correlated Electrons · Physics 2022-02-07 Hidehiko Kohshiro , Ryui Kaneko , Satoshi Morita , Hosho Katsura , Naoki Kawashima

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The SU(3)-symmetric point of this model…

Strongly Correlated Electrons · Physics 2016-01-29 Hitesh J. Changlani , Andreas M. Läuchli

A linear spin wave analysis of dimerization of alternating Heisenberg system with spins $s_{1}$ and $s_{2}$ on linear chain as well as square lattice is presented. Among the several possible dimerized configurations considered in two…

Condensed Matter · Physics 2007-05-23 Aiman Al-Omari , A. H. Nayyar

We study the magnetization curve of the Heisenberg model on the quasi-one-dimensional kagome-strip lattice that shares the same lattice structure in the inner part with the two-dimensional kagome lattice. Our numerical calculations based on…

Strongly Correlated Electrons · Physics 2015-06-11 Tokuro Shimokawa , Hiroki Nakano

We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a ``matrix product''…

Condensed Matter · Physics 2009-10-28 Stefan Rommer , Stellan Ostlund

We study high-field magnon dynamics and examine the dynamical structure factor in the quasi-2D tetragonal Heisenberg antiferromagnet with interlayer coupling corresponding to realistic materials. Within spin-wave theory, we show that a…

Strongly Correlated Electrons · Physics 2012-08-01 W. T. Fuhrman , M. Mourigal , M. E. Zhitomirsky , A. L. Chernyshev

The identification of spin-nematic states is challenging due to the absence of Bragg peaks. However, the study of dynamical physical quantities provides a promising avenue for characterizing these states. In this study, we investigate the…

Strongly Correlated Electrons · Physics 2024-02-20 Tsutomu Momoi

We investigate the spin-$1/2$ Heisenberg antiferromagnet on the ruby lattice with uniform first- and second-neighbor interactions, which forms a two-dimensional network of corner-sharing tetrahedra. Using infinite projected entangled pair…

Strongly Correlated Electrons · Physics 2025-12-17 Pratyay Ghosh , Frédéric Mila

We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the inter-plaquette coupling. Using stochastic series expansion quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-09-08 Jun-Han Huang , Zenan Liu , Han-Qing Wu , Dao-Xin Yao