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The square lattice antiferromagnet with frustrating next nearest neighbour coupling continues to generate tremendous interest, with an elusive quantum disordered phase in the vicinity of $J_2$ = $J_1$/2. At this precise value of…

强关联电子 · 物理学 2016-10-05 Bimla Danu , Gautam Nambiar , R. Ganesh

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…

强关联电子 · 物理学 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

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…

超导电性 · 物理学 2015-03-19 Rong Yu , Pallab Goswami , Qimiao Si

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

强关联电子 · 物理学 2011-01-10 Kingshuk Majumdar

We study the effect of spin anisotropies on a frustrated quantum antiferromagnet using the J_1-J_2^{XXZ} model on the square lattice. The T=0 and finite-T phase diagrams of this model are obtained utilizing spin-wave theory, exact…

强关联电子 · 物理学 2009-11-10 Tommaso Roscilde , Adrian Feiguin , Alexander L. Chernyshev , Shiu Liu , Stephan Haas

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

强关联电子 · 物理学 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

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…

强关联电子 · 物理学 2015-05-13 H. C. Jiang , F. Krüger , J. E. Moore , D. N. Sheng , J. Zaanen , Z. Y. Weng

We investigate the phase diagram of hard-core bosons on a square lattice with competing interactions. The hard-core bosons can be represented also by spin-1/2 operators and the model can therefore be mapped onto an anisotropic…

强关联电子 · 物理学 2015-03-18 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

Two-dimensional disordered quantum antiferromagnets are studied by means of a continuum description in which disorder is introduced by a random distribution of couplings (spin stiffnesses) in the ordered phase of the Nonlinear Sigma Model.…

强关联电子 · 物理学 2009-11-07 E. C. Marino

We study the ground-state phase diagram of the frustrated quantum $J_1-J_2$ Heisenberg antiferromagnet on the honeycomb lattice using a mean field approach in terms of the Schwinger boson representation of the spin operators. We present…

强关联电子 · 物理学 2013-01-24 Hao Zhang , C. A. Lamas

Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

强关联电子 · 物理学 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

凝聚态物理 · 物理学 2009-10-28 P. W. Leung , Ngar-wing Lam

The effects of quantum fluctuations due to directional anisotropy and frustration between nearest neighbors and next-nearest neighbors of the quantum spin-1/2 Heisenberg antiferromagnet on a square lattice are investigated using spin-wave…

强关联电子 · 物理学 2010-10-06 Kingshuk Majumdar

We report on recent results for strongly frustrated quantum $J_1$-$J_2$ antiferromagnets in dimensionality d=1,2,3 obtained by the coupled cluster method (CCM). We demonstrate that the CCM in high orders of approximation allows us to…

强关联电子 · 物理学 2009-11-11 J. Richter , R. Darradi , R. Zinke , R. F. Bishop

We study effects of disorder (randomness) in a 2D square-lattice $S=1/2$ quantum spin system, the $J$-$Q$ model with a 6-spin interaction $Q$ supplementing the Heisenberg exchange $J$. In the absence of disorder the system hosts…

强关联电子 · 物理学 2018-12-11 Lu Liu , Hui Shao , Yu-Cheng Lin , Wenan Guo , Anders W. Sandvik

We investigate the interplay between lattice-symmetry breaking and superconducting order in a two-dimensional model of doped antiferromagnets, with long-range Coulomb interactions and Sp(2N) spin symmetry, in the large-N limit. Our results…

超导电性 · 物理学 2009-10-31 Matthias Vojta , Subir Sachdev

In the present paper we study the phase diagram of the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line $J_2=J_3$ that include the point $J_2=J_3=J_1/2$, corresponding to the…

强关联电子 · 物理学 2015-03-13 D. C. Cabra , C. A. Lamas , H. D. Rosales

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

凝聚态物理 · 物理学 2007-05-23 C. M. S. Conceicao , E. C. Marino

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…

强关联电子 · 物理学 2009-11-07 Luca Capriotti

We investigate the properties of the two-dimensional frustrated quantum antiferromagnet on the square lattice, especially at infinitesimal doping. We find that next nearest neighbor (N.N.) J2 and next-next N.N. J3 interactions together…

强关联电子 · 物理学 2015-06-25 D. Poilblanc , M. Mambrini , A. Laeuchli , F. Mila
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