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We study the magnetization process of a 1D extended Heisenberg model, the $J$-$Q$ model, as a function of an external magnetic field. In this model, $J$ represents the traditional antiferromagnetic Heisenberg exchange and $Q$ is the…

Strongly Correlated Electrons · Physics 2017-05-30 Adam Iaizzi , Kedar Damle , Anders W. Sandvik

The recent progress in the optimization of two-dimensional tensor networks [H.-J. Liao, J.-G. Liu, L. Wang, and T. Xiang, Phys. Rev. X ${\bf 9}$, 031041 (2019)] based on automatic differentiation opened the way towards precise and fast…

Strongly Correlated Electrons · Physics 2021-02-16 Juraj Hasik , Didier Poilblanc , Federico Becca

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

We have studied the ground state phase diagram of a spin ladder with alternating rung exchange $J^{n}_{\perp} = J_{\perp}[1 + (-1)^{n} \delta ]$ in a magnetic filed, in the limit where the rung coupling is dominant. In this limit the model…

Strongly Correlated Electrons · Physics 2015-06-25 G. I. Japaridze , E. Pogosyan

We investigate the magnetization process for a quasi-one-dimensional S=1 antiferromagnet with bond alternation. By combining the density matrix renormalization group method with the interchain mean-field theory, we discuss how the…

Strongly Correlated Electrons · Physics 2009-11-07 Akira Kawaguchi , Akihisa Koga , Kouichi Okunishi , Norio Kawakami

A possibility to describe magnetism in the iron pnictide parent compounds in terms of the two-dimensional frustrated Heisenberg $J_1$-$J_2$ model has been actively discussed recently. However, recent neutron scattering data has shown that…

Superconductivity · Physics 2015-05-20 Michael Holt , Oleg P. Sushkov , Daniel Stanek , Götz S. Uhrig

Using the coupled cluster method for high orders of approximation and Lanczos exact diagonalization we study the ground-state phase diagram of a quantum spin-1/2 J1-J2 model on the square lattice with plaquette structure. We consider…

Strongly Correlated Electrons · Physics 2015-06-05 O. Götze , S. E. Krüger , F. Fleck , J. Schulenburg , J. Richter

The zero-temperature magnetization process of a one-dimensional S=1/2 spin system with next-nearest-neighbour coupling alpha and anisotropy delta is studied. There is a region in the parameter space where the magnetization has a jump at…

Strongly Correlated Electrons · Physics 2007-05-23 Shunsaku Hirata

We study, within the Schwinger-boson approach, the ground-state structure of two Heisenberg antiferromagnets on the triangular lattice: the J1-J2 model, which includes a next-nearest-neighbor coupling J2, and the spatially-anisotropic…

Statistical Mechanics · Physics 2009-10-31 L. O. Manuel , H. A. Ceccatto

We investigate the S=1/2 antiferromagnetic Heisenberg model with a 3$\times$3 checkerboard lattice structure in a longitudinal magnetic field. By using the stochastic series expansion quantum Monte Carlo (SSE-QMC) method, we obtain the…

Strongly Correlated Electrons · Physics 2025-07-22 Xuyang Liang , Dao-Xin Yao

We study the breakdown of the magnetization plateau at the magnetization M=M_{S}/3 (M_{S} is the saturation magnetization) of the S=1/2 anisotropic spin chain with ferromagnetic-ferromagnetic-antiferromagnetic interactions. We consider the…

Statistical Mechanics · Physics 2009-10-31 Atsuhiro Kitazawa , Kiyomi Okamoto

We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaux for m=0, 1/4, 1/2 and 3/4, where m is the magnetization normalized by its saturation value.…

Strongly Correlated Electrons · Physics 2017-01-26 Sylvain Capponi

We study the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The…

Strongly Correlated Electrons · Physics 2024-10-16 Rito Furuchi , Hiroki Nakano , Norikazu Todoroki , Toru Sakai

We consider a one-dimensional lattice of Ising-type variables where the ferromagnetic exchange interaction J between neighboring sites is frustrated by a long-ranged anti-ferromagnetic interaction of strength g between the sites i and j,…

Statistical Mechanics · Physics 2011-04-21 F. Cinti , O. Portmann , D. Pescia , A. Vindigni

Using modified spin wave (MSW) method, we study the $J_1-J_2$ Heisenberg model with first and second neighbor antiferromagnetic exchange interactions. For symmetric $S=1/2$ model, with the same couplings for all the equivalent neighbors, we…

Strongly Correlated Electrons · Physics 2016-08-24 Elaheh Ghorbani , Farhad Shahbazi , Hamid Mosadeq

A magnetization process in two-dimensional ferrimagnet BIPNNBNO is analyzed. The compound consists of ferrimagnetic (1,1/2) chains coupled by two sorts of antiferromagnetic interactions. Whereas a behavior of the magnetization curve in…

Mesoscale and Nanoscale Physics · Physics 2011-12-08 V. E. Sinitsyn , I. G. Bostrem , A. S. Ovchinnikov , Y. Hosokoshi , K. Inoue

We study the one-dimensional spin-1/2 Heisenberg model with antiferromagnetic nearest-neighbor J_1 and next-nearest-neighbor J_2 exchange couplings in magnetic field h. With varying dimensionless parameters J_2/J_1 and h/J_1, the ground…

Statistical Mechanics · Physics 2015-03-14 T. Hikihara , T. Momoi , A. Furusaki , H. Kawamura

We study the spectral and magnetic properties of one-dimensional lattices filled with 2 to 4 fermions (with spin 1/2) per lattice site. We use a generalized Hubbard model that takes account all interactions on a lattice site, and solve the…

Strongly Correlated Electrons · Physics 2009-11-13 J. -P. Nikkarila , M. Koskinen , S. M. Reimann , M. Manninen

We study the discrete-to-continuum variational limit of the $J_{1}$-$J_{3}$ spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the lattice spacing vanishes. Carrying out the…

Analysis of PDEs · Mathematics 2019-04-17 Marco Cicalese , Marwin Forster , Gianluca Orlando

We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

Strongly Correlated Electrons · Physics 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell