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Related papers: Quantum Phases of the Planar Antiferromagnetic J_1…

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We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

Strongly Correlated Electrons · Physics 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We investigate the frustrated $J_1$-$J_2$-$J_3$ Ising model on the honeycomb lattice, featuring first- and second-neighbor ferromagnetic couplings ($J_1>0$ and $J_2>0$) and third-neighbor antiferromagnetic interactions ($J_3<0$). Using the…

Statistical Mechanics · Physics 2026-01-28 Pietro F. Dias , Fabio M. Zimmer , Nikolaos G. Fytas , Mateus Schmidt

The spin-$1/2$ $J_1$-$J_2$ Heisenberg model on the square lattice exhibits a debated intermediate phase between N\'eel antiferromagnetic and stripe ordered regimes, with competing theories proposing plaquette valence bond, nematic, and…

Strongly Correlated Electrons · Physics 2026-04-27 Brandon Yee , Wilson Collins , Maximilian Rutkowski

We study the S=1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest neighbor couplings $J_{1x}$, $J_{1y}$ frustrated by a next-nearest neighbor coupling $J_{2}$ numerically using the density-matrix renormalization…

Strongly Correlated Electrons · Physics 2015-05-13 H. C. Jiang , F. Krüger , J. E. Moore , D. N. Sheng , J. Zaanen , Z. Y. Weng

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti

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 present high precision estimates of the exponents of a quantum phase transition in a planar antiferromagnet. This has been made possible by the recent development of cluster algorithms for quantum spin systems, the loop algorithms. Our…

Strongly Correlated Electrons · Physics 2008-02-03 Matthias Troyer , Masatoshi Imada

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We use a generalized spin wave approach and large scale quantum Monte Carlo (QMC) simulations to study the quantum phase diagram and quasiparticle excitations of the S=1 Heisenberg model with an easy-plane single-ion anisotropy in…

Strongly Correlated Electrons · Physics 2013-07-12 Zhifeng Zhang , Keola Wierschem , Ian Yap , Yasuyuki Kato , Cristian D. Batista , Pinaki Sengupta

Quantum phase transition at the saturation field is studied for a class of frustrated quantum antiferromagnets. The considered models include (i) the $J_1$-$J_2$ frustrated square-lattice antiferromagnet with $J_2={1/2}J_1$ and (ii) the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Jackeli , M. E. Zhitomirsky

We use the finite projected entangled pair state (PEPS) method to investigate the global phase diagram of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ antiferromagnetic (AFM) Heisenberg model. The ground state phase diagram is established…

Strongly Correlated Electrons · Physics 2024-06-12 Wen-Yuan Liu , Didier Poilblanc , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

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 apply a random-plaquette $J_1$-$J_2$ model on the square lattice to capture the physics of a series of spin-$1/2$ Heisenberg antiferromagnet compounds Sr$_2$CuTe$_{1-x}$W$_x$O$_6$. With the input of experimentally relevant coupling…

Strongly Correlated Electrons · Physics 2024-07-09 Dian Wu , Fan Yang , Giuseppe Carleo

A large N expansion technique, based on symplectic (Sp(N)) symmetry, for frustrated magnetic systems is studied. The phase diagram of a square lattice, spin S, quantum antiferromagnet with first, second and third neighbor antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-12-25 Subir Sachdev , N. Read

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

Strongly Correlated Electrons · Physics 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

Magnetic properties of spin $\frac 12$ $J_1-J_2$ Heisenberg antiferromagnet on body centered cubic lattice are investigated. By using two-time temperature Green's functions, sublattice magnetization and critical temperature depending on the…

Strongly Correlated Electrons · Physics 2013-12-24 Milan R. Pantic , Darko V. Kapor , Slobodan M. Radosevic , Petar M. Mali

We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing Quantum Monte Carlo, we significantly improve on…

Strongly Correlated Electrons · Physics 2008-10-07 A. Fabricio Albuquerque , Matthias Troyer , Jaan Oitmaa

We study the effect of adding interlayer coupling to the square lattice, $J_1$-$J_2$ Heisenberg model in high external magnetic field. In particular, we consider a cubic lattice formed from stacked $J_1$-$J_2$ layers, with interlayer…

Strongly Correlated Electrons · Physics 2015-01-21 Hiroaki T. Ueda

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations. The results support a…

Strongly Correlated Electrons · Physics 2010-04-30 Anders W. Sandvik

Motivated by the experimentally observed $\sqrt{5} \times \sqrt{5}$ iron vacancy order and a block spin antiferromagnetic phase with large magnetic moment in $\mathrm{K}_{0.8}\mathrm{Fe}_{1.6}\mathrm{Se}_2$, we study the magnetic phase…

Superconductivity · Physics 2015-03-19 Rong Yu , Pallab Goswami , Qimiao Si