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We study the phase ordering dynamics of the classical antiferromagnetic $J_1$-$J_2$ (nearest-neighbor and next-nearest-neighbor couplings) Heisenberg model on the square lattice in the strong frustration regime ($J_2/J_1 > 1/2$). While…

Strongly Correlated Electrons · Physics 2025-05-02 Yang Yang , Yi-Hsuan Liu , Rafael M. Fernandes , Gia-Wei Chern

We present extensive Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice coupled to the lattice degrees of freedom. The…

Strongly Correlated Electrons · Physics 2009-11-11 Cedric Weber , Federico Becca , Frederic Mila

We investigate the nematic phase transition in the Heisenberg $J_1$-$J_2$-model on square and triangular lattices, accounting for finite lattice compressibility and bond-length-dependent magnetic exchange. Using Nematic Bond Theory, a…

Strongly Correlated Electrons · Physics 2026-02-17 Olav F. Syljuåsen , Jens Paaske

In this work, we study a biquadratic Heisenberg model with coupled orbital degree of freedom using Monte Carlo simulation in order to investigate the phase transitions in iron-based superconductors. The antiferro-quadrupolar state, which…

Superconductivity · Physics 2016-03-22 W. Z. Zhuo , M. H. Qin , S. Dong , X. G. Li , J. M. Liu

The two dimensional Heisenberg antiferromagnet on the square lattice with nearest (J1) and next-nearest (J2) neighbor couplings is investigated in the strong frustration regime (J2/J1>1/2). A new effective field theory describing the long…

Strongly Correlated Electrons · Physics 2009-11-11 V. Lante , A. Parola

We study a spin $S$ quantum Heisenberg model on the Fe lattice of the rare-earth oxypnictide superconductors. Using both large $S$ and large $N$ methods, we show that this model exhibits a sequence of two phase transitions: from a high…

Strongly Correlated Electrons · Physics 2009-11-13 Chen Fang , Hong Yao , Wei-Feng Tsai , JiangPing Hu , Steven A. Kivelson

We present Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice in the presence of non-magnetic impurities. We show that the…

Strongly Correlated Electrons · Physics 2015-06-05 Cédric Weber , Frédéric Mila

At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find…

Strongly Correlated Electrons · Physics 2010-05-03 Kingshuk Majumdar , Trinanjan Datta

We study geometrically frustrated antiferromagnets with magnetoelastic coupling. Frustration in these systems may be relieved by a structural transition to a low temperature phase with reduced lattice symmetry. We examine the statistical…

Strongly Correlated Electrons · Physics 2008-06-30 Timothy E. Saunders , John T. Chalker

To elucidate the magnetic structure and the origin of the nematicity in FeSe, we perform a high-pressure $^{77}$Se NMR study on FeSe single crystals. We find a suppression of the structural transition temperature with pressure up to about 2…

Superconductivity · Physics 2016-12-05 P. S. Wang , S. S. Sun , Y. Cui , W. H. Song , T. R. Li , Rong Yu , Hechang Lei , Weiqiang Yu

A hallmark of the iron-based superconductors is the strong coupling between magnetic, structural and electronic degrees of freedom. However, a universal picture of the normal state properties of these compounds has been confounded by recent…

We study the effects of quantum fluctuations in magnetic properties of quantum frustrated ferromagnets in a magnetic field. It is shown that a non-classical phase or a phase separation appears due to quantum fluctuations below the…

Strongly Correlated Electrons · Physics 2015-03-19 Hiroaki T. Ueda , Tsutomu Momoi

Since its discovery, iron-based superconductivity has been known to develop near an antiferromagnetic order, but this paradigm fails in the iron chalcogenide FeSe, whose single-layer version holds the record for the highest superconducting…

Strongly Correlated Electrons · Physics 2020-06-22 Wen-Jun Hu , Hsin-Hua Lai , Shou-Shu Gong , Rong Yu , Elbio Dagotto , Qimiao Si

The parent phases of the Fe-arsenide superconductors harbor an antiferromagnetic ground state. Significantly, the N\'eel transition is either preceded or accompanied by a structural transition that breaks the four fold symmetry of the…

Superconductivity · Physics 2011-09-30 I. R. Fisher , L. Degiorgi , Z. X. Shen

We analyze the phase transition of the frustrated $J_1$-$J_2$ Ising model with antiferromagnetic nearest- and strong next-nearest neighbor interactions on the square lattice. Using extensive Monte Carlo simulations we show that the nature…

Statistical Mechanics · Physics 2011-11-11 A. Kalz , A. Honecker , M. Moliner

The nematic electronic state and its associated nematic critical fluctuations have emerged as potential candidates for superconducting pairing in various unconventional superconductors. However, in most materials their coexistence with…

Superconductivity · Physics 2019-11-19 P. Reiss , D. Graf , A. A. Haghighirad , W. Knafo , L. Drigo , M. Bristow , A. J. Schofield , A. I. Coldea

We study a two-dimensional (2D) spin-half Heisenberg model related to the quasi 2D antiferromagnets (Ba,Sr)2Cu3O4Cl2 by means of exact diagonalization and spin-wave theory. The model consists of two inequivalent interpenetrating…

Strongly Correlated Electrons · Physics 2009-11-10 D. Schmalfuss , R. Herms , J. Richter , J. Schulenburg

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 quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

Strongly Correlated Electrons · Physics 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

We provide strong evidence of the spin-nematic state in a paradigmatic ferro-antiferromagnetic $J_1$--$J_2$ model using analytical and density-matrix renormalization group methods. In zero field, the attraction of spin-flip pairs leads to a…

Strongly Correlated Electrons · Physics 2023-03-17 Shengtao Jiang , Judit Romhányi , Steven R. White , M. E. Zhitomirsky , A. L. Chernyshev
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