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The frustrated ferromagnetic spin-1/2 Heisenberg chain is studied by means of a low-energy field theory as well as the density-matrix renormalization group and exact diagonalization methods. Firstly, we study the ground-state phase diagram…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , T. Vekua

We study the dynamical structure factor of the frustrated spin-$3/2$ $J_1$-$J_2$ Heisenberg chains, with particular focus on the partially dimerized phase that emerges between two Kosterlitz-Thouless transitions. Using a valence bond solid…

Strongly Correlated Electrons · Physics 2025-09-04 Aman Sharma , Mithilesh Nayak , Natalia Chepiga , Frédéric Mila

We use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac12$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$ (i.e., in the N\'eel ordered phase). This…

Strongly Correlated Electrons · Physics 2019-06-12 A. V. Syromyatnikov , A. Yu. Aktersky

The J1-J2 model on a square lattice exhibits a rich variety of different forms of magnetic order that depend sensitively on the ratio of exchange constants J2/J1. We use bulk magnetometry and polarized neutron scattering to determine J1 and…

Strongly Correlated Electrons · Physics 2010-03-17 M. Skoulatos , J. P. Goff , C. Geibel , E. E. Kaul , R. Nath , N. Shannon , B. Schmidt , A. P. Murani , P. P. Deen , M. Enderle , A. R. Wildes

An efficient and precise thermodynamic method to extract the interchain coupling (IC) of spatially anisotropic 2D or 3D spin-1/2 systems from their empirical saturation field H_s (T=0) is proposed. Using density-matrix renormalization…

Strongly Correlated Electrons · Physics 2015-11-25 S. Nishimoto , S. -L. Drechsler , R. O. Kuzian , J. van den Brink , J. Richter , W. E. A. Lorenz , Y. Skourski , R. Klingeler , B. Buechner

We studied the critical behavior of the $J_{1}-J_{2}$ spin-{1/2} Ising model in the square lattice by considering $J_{1}$ fixed and $J_{2}$ as random interactions following discrete and continuous probability distribution functions. The…

Statistical Mechanics · Physics 2021-12-23 Octavio D. Rodriguez Salmon , Minos A. Neto , Thiago Lobo , Francisco Dinola Neto

We have studied the validity of the spin polaron picture in the frustrated J1-J2 Heisenberg model. For this purpose, we have computed the hole spectral functions for the Neel, collinear, and disordered phases of this model, by means of the…

Strongly Correlated Electrons · Physics 2009-11-13 I. J. Hamad , A. E. Trumper , A. E. Feiguin , L. O. Manuel

Two legged skewed spin-$\frac{1}{2}$ ladders are frustrated and exhibit exotic quantum phases in ground state due to strong quantum fluctuations and competing spin exchanges. Here, we study ground state properties of a spin-$\frac{1}{2}$…

Strongly Correlated Electrons · Physics 2024-11-19 Sambunath Das , Dayasindhu Dey , Manoranjan Kumar , S. Ramasesha

We investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

Strongly Correlated Electrons · Physics 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima

New data for the two-dimensional J1-J2 model shows that the critical points for singlet and triplet excitations near J2/J1=0.38 are very close together, or coincident. We propose that this is a more general result: in strongly frustrated…

Strongly Correlated Electrons · Physics 2009-11-07 O. P. Sushkov , J. Oitmaa , Zheng Weihong

We develop a microscopic theory of finite-temperature spin-nematic orderings in three-dimensional spatially anisotropic magnets consisting of weakly-coupled frustrated spin-1/2 chains with nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2013-02-19 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi

We investigate elastic deformations of spin $S=1/2$ antiferromagnetic $J_1-J_2$ Heisenberg chains, at $M=1/3$ magnetization, coupled to phonons in the adiabatic approximation. Using a bosonization approach we predict the existence of…

Strongly Correlated Electrons · Physics 2019-06-04 H. D. Rosales , G. L. Rossini

The antiferromagnetic $J_1-J_2$ model is a spin-1/2 chain with isotropic exchange $J_1 > 0$ between first neighbors and $J_2 = \alpha J_1$ between second neighbors. The model supports both gapless quantum phases with nondegenerate ground…

Strongly Correlated Electrons · Physics 2021-06-29 Sudip Kumar Saha , Manodip Routh , Manoranjan Kumar , Zoltán G. Soos

We report a study of the spin dynamics of the frustrated ferromagnetic $J_1$-$J_2$ chain compound linarite, PbCuSO$_4$(OH)$_2$, in applied magnetic fields up to field polarization. By means of an extreme-environment inelastic neutron…

Strongly Correlated Electrons · Physics 2022-10-12 L. Heinze , M. D. Le , O. Janson , S. Nishimoto , A. U. B. Wolter , S. Süllow , K. C. Rule

Based on the Majumdar-Ghosh chain we construct several spin models which allow us to investigate spinon dynamics in the regime close to deconfinement of spinons. We consider the J_1 - J_2 - \delta model, two coupled J_1 - J_2 chains…

Condensed Matter · Physics 2009-10-31 T. M. R. Byrnes , M. T. Murphy , O. P. Sushkov

We implement the coupled cluster method to very high orders of approximation to study the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ Heisenberg model on a cross-striped square lattice. Every nearest-neighbour pair of sites on the square lattice…

Strongly Correlated Electrons · Physics 2017-11-13 P. H. Y. Li , R. F. Bishop

We make extensive simulations over a spin chain model that combines the frustrated $J_1\textrm{-}J_2$ spin chain and the long-range nonfrustrated $(-1)^{(r-1)}r^{-\alpha}$ decay interactions through the variational matrix product state…

Strongly Correlated Electrons · Physics 2015-06-11 Zhi-Hua Li , An-Min Wang

A ferrimagnetic spin model composed of $S=1/2$ spin-dimers and $S=5/2$ spin-chains is studied by combining the bond-operator representation (for $S=1/2$ spin-dimers) and Holstein-Primakoff transformation (for $S=5/2$ spins). A finite…

Strongly Correlated Electrons · Physics 2015-05-14 Bao Xu , Han-Ting Wang , Yupeng Wang

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

Strongly Correlated Electrons · Physics 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon

The linear spin-1/2 Heisenberg antiferromagnet with exchanges $J_1$, $J_2$ between first and second neighbors has a bond-order wave (BOW) phase that starts at the fluid-dimer transition at $J_2/J_1 = 0.2411$ and is particularly simple at…

Strongly Correlated Electrons · Physics 2010-06-28 Manoranjan Kumar , S. Ramasesha , Z. G. Soos
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