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We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

强关联电子 · 物理学 2007-05-23 Oleg A. Starykh , Leon Balents

Strongly correlated systems with geometric frustrations can host the emergent phases of matter with unconventional properties. Here, we study the spin $S = 1$ Heisenberg model on the honeycomb lattice with the antiferromagnetic first-…

强关联电子 · 物理学 2015-11-10 Shou-Shu Gong , Wei Zhu , D. N. Sheng

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 use the coupled cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 $J_{1}$--$J_{2}$--$J_{3}$ model on a two-dimensional honeycomb lattice with…

强关联电子 · 物理学 2015-06-04 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , C. E. Campbell

We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice. The ground state…

量子气体 · 物理学 2024-10-16 J. A. Koziol , G. Morigi , K. P. Schmidt

This is a review of ground-state features of the s=1/2 Heisenberg antiferromagnet on two-dimensional lattices. A central issue is the interplay of lattice topology (e.g. coordination number, non-equivalent nearest-neighbor bonds, geometric…

强关联电子 · 物理学 2016-11-28 J. Richter , J. Schulenburg , A. Honecker

Competing interactions in quantum magnets lead to a variety of emergent states, including ordered phases, nematic magnets and quantum spin liquids. Among them, topological quantum magnets represent a promising platform to create topological…

强关联电子 · 物理学 2025-02-26 Pascal M. Vecsei , Jose L. Lado

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…

强关联电子 · 物理学 2014-12-25 Subir Sachdev , N. Read

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

强关联电子 · 物理学 2018-06-28 Ido Niesen , Philippe Corboz

The zero-temperature phase diagrams of a two-dimensional frustrated quantum antiferromagnetic system, namely the Union Jack model, are studied using the coupled cluster method (CCM) for the two cases when the lattice spins have spin quantum…

强关联电子 · 物理学 2011-06-07 R. F. Bishop , P. H. Y. Li

Using the coupled-cluster method for infinite lattices and the exact diagonalization method for finite lattices, we study the influence of an exchange anisotropy Delta on the ground-state phase diagram of the spin-1/2 frustrated J1-J2 XXZ…

强关联电子 · 物理学 2009-02-18 R. Darradi , J. Richter , J. Schulenburg , R. F. Bishop , P. H. Y. Li

We study the ground-state phase diagram of the quantum $J_1-J_2$ model on the honeycomb lattice by means of an entangled-plaquette variational ansatz. Values of energy and relevant order parameters are computed in the range $0\le…

强关联电子 · 物理学 2012-02-10 Fabio Mezzacapo , Massimo Boninsegni

We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

计算物理 · 物理学 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

We consider the quantum XX-model in the presence of competing nearest-neighbour and global-range interactions, which is equivalent to a Bose-Hubbard model with cavity mediated global range interactions in the hard core boson limit. Using…

统计力学 · 物理学 2018-11-20 Ferenc Iglói , Benjamin Blaß , Gergö Roósz , Heiko Rieger

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

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 spin-1/2 square-lattice Heisenberg model is predicted to have a quantum disordered ground state when magnetic frustration is maximized by competing nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ interactions ($J_2/J_1 \approx…

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 consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

强关联电子 · 物理学 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

强关联电子 · 物理学 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales