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Random spin-3/2 antiferromagnetic Heisenberg chains are investigated using an asymptotically exact renormalization group. Randomness is found to induce a quantum phase transition between two random-singlet phases. In the strong randomness…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gil Refael , Stefan Kehrein , Daniel S. Fisher

We report on a detailed investigation of the spin-1 $J_1-J_2-J_3$ Heisenberg model, a frustrated model with nearest-neighbor coupling $J_1$, next-nearest neighbor coupling $J_2$, and a three site interaction $J_3\left[({\bf S}_{i-1}\cdot…

Strongly Correlated Electrons · Physics 2016-11-15 Natalia Chepiga , Ian Affleck , Frederic Mila

Motivated by the magnetic properties of the spin-chain compounds LiCuSbO$_4$$\equiv$LiSbCuO$_4$ and Rb$_2$Cu$_2$Mo$_3$O$_{12}$, we study the ground state of the Heisenberg chain with dimerized nearest-neighbor ferromagnetic (FM)($J_1,…

Strongly Correlated Electrons · Physics 2017-09-05 Cliò Efthimia Agrapidis , Stefan-Ludwig Drechsler , Jeroen van den Brink , Satoshi Nishimoto

The multiple reentrant quantum phase transitions in the $S=1/2$ antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 Kazuo Hida

Ground state of the bond-random antiferromagnetic S=1 Heisenberg chain with the biquadratic interaction -\beta\sum_i(S_i S_i+1)^2 is investigated by means of the exact-diagonalization method and the finite-size-scaling analysis. It is shown…

Condensed Matter · Physics 2015-06-25 Yoshihiro Nishiyama

We study disordered spin-1 quantum chains with random exchange and biquadratic interactions using a real space renormalization group approach. We find that the dimerized phase of the pure biquadratic model is unstable and gives rise to a…

Condensed Matter · Physics 2009-10-28 Beatriz Boechat , Andreia Saguia , Mucio Continentino

The phase diagram of the spin-1 chain with bilinear-biquadratic and next-nearest neighbor inter- actions, recently investigated by Pixley, Shashi and Nevidomskyy [Phys. Rev. B 90, 214426 (2014)], has been revisited in the light of results…

Strongly Correlated Electrons · Physics 2016-11-02 Natalia Chepiga , Ian Affleck , Frederic Mila

Long range magnetic ordering in the quasi-one-dimensional random-bond antiferromagnet BaCu$_2$(Si$_{1-x}$Ge$_{x}$)$_2$O$_7$ is studied in $\mu$SR experiments as a function of disorder strength. Compared to the disorder-free parent…

Strongly Correlated Electrons · Physics 2014-12-04 M. Thede , T. Haku , T. Masuda , C. Baines , E. Pomjakushina , G. Dhalenne , A. Revcolevschi , E. Morenzoni , A. Zheludev

The bulk properties and impurity effect in the one-dimensional S=1/2 Heisenberg model with dimerization and next-nearest-neighbor exchange are studied by the density matrix renormalization group (DMRG) and exact diagonalization methods.…

Strongly Correlated Electrons · Physics 2009-10-31 Shinji Watanabe , Hisatoshi Yokoyama

We calculate the bipartite von Neumann and second R\'enyi entanglement entropies of the ground states of spin-1/2 dimerized Heisenberg antiferromagnets on a square lattice. Two distinct dimerization patterns are considered: columnar and…

Strongly Correlated Electrons · Physics 2019-08-13 Leonardo S. G. Leite , R. L. Doretto

The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

Strongly Correlated Electrons · Physics 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

Two-dimensional (2D) disordered superconductor (SC) in class D exhibits a disorder-induced quantum multicritical phenomenon among diffusive thermal metal (DTM), topological superconductor (TS), and conventional localized (AI) phases. To…

Disordered Systems and Neural Networks · Physics 2021-11-22 Zhiming Pan , Tong Wang , Tomi Ohtsuki , Ryuichi Shindou

Using the density-matrix renormalization group technique, we study a one-dimensional spin-$\frac{1}{2}$ Heisenberg chain consisting of coupled tetramers as an effective spin model for copper vanadate CuInVO$_5$. We obtain the ground-state…

Strongly Correlated Electrons · Physics 2019-04-17 Sahinur Reja , Satoshi Nishimoto

Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the…

Strongly Correlated Electrons · Physics 2011-02-03 Zhaoxin Xu , Heping Ying , Xin Wan

The $J_1$-$J_2$ spin chain is one of the canonical models of quantum magnetism, and has long been known to host a critical antiferromagnetic phase with power-law decay of spin correlations. We show in this Letter that there are, in fact,…

Statistical Mechanics · Physics 2025-10-29 Adam J. McRoberts , Chris Hooley , A. G. Green

We obtain the phase diagram in the parameter space $(J'/J, \gamma)$ and an accurate estimate of the critical line separating the different phases. We show several measuments of the magnetization, dimerization, nearest neighbours…

Strongly Correlated Electrons · Physics 2009-11-13 J. Almeida , M. A. Martin-Delgado , G. Sierra

We study the ground-state phase diagram of the Ashkin-Teller random quantum spin chain by means of a generalization of the strong-disorder renormalization group. In addition to the conventional paramagnetic and ferromagnetic (Baxter)…

Strongly Correlated Electrons · Physics 2014-01-14 Fawaz Hrahsheh , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

The mixed spin-1 and spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin-1/2 sites is investigated using variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak