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After decades of debate, now there is a rough consensus that at zero temperature the spin-$1/2$ Heisenberg antiferromagnet on the triangular lattice is three-sublattice $120^\circ$ magnetically ordered, in contrast to a quantum spin liquid…

强关联电子 · 物理学 2024-06-19 Qian Li , Hong Li , Jize Zhao , Hong-Gang Luo , Z. Y. Xie

We consider $S=1$ triangular lattice Heisenberg antiferromagnets with a strong single-ion anisotropy $D$ that dominates over the nearest-neighbour antiferromagnetic exchange $J$. In this limit of small $J/D$, we study low temperature ($T…

强关联电子 · 物理学 2019-10-11 Dariush Heidarian , Kedar Damle

When the constituent spins have an energetic preference to lie along an easy-axis, triangular and Kagome lattice antiferromagnets often develop long-range order that distinguishes the three sublattices of the underlying triangular Bravais…

统计力学 · 物理学 2015-10-28 Kedar Damle

Antiferromagnetically coupled moments on the frustrated triangular lattice typically order in a coplanar state at low temperature. Here, we demonstrate that the presence of not-very-large easy axis single ion anisotropy leads to an…

强关联电子 · 物理学 2010-07-27 Arnab Sen , Fa Wang , Kedar Damle

We use the coupled cluster method (CCM) to study the ground-state properties and lowest-lying triplet excited state of the spin-half {\it XXZ} antiferromagnet on the square lattice. The CCM is applied to it to high orders of approximation…

Spin-1/2 antiferromagnetic triangular lattice models are paradigms of geometrical frustration, revealing very different ground states and quantum effects depending on the nature of anisotropies in the model. Due to strong spin orbit…

We examine ground state properties of the spin-1/2 easy-axis Heisenberg model on the Shastry-Sutherland lattice with ferromagnetic transverse spin exchange using quantum Monte Carlo and degenerate perturbation theory. For vanishing…

强关联电子 · 物理学 2010-04-20 Zi Yang Meng , Stefan Wessel

We study kagome lattice antiferromagnets where the effects of easy axis single-ion anisotropy ($D$) dominates over the Heisenberg exchange $J$. For $S \ge 3/2$, virtual quantum fluctuations help lift the extensive classical degeneracy. We…

强关联电子 · 物理学 2009-11-13 Arnab Sen , Kedar Damle , Ashvin Vishwanath

We present the phase diagram in a magnetic field of a 2D isotropic Heisenberg antiferromagnet on a triangular lattice. We consider spin-$S$ model with nearest-neighbor ($J_1$) and next-nearest-neighbor ($J_2$) interactions. We focus on the…

强关联电子 · 物理学 2017-10-25 Mengxing Ye , Andrey V. Chubukov

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice…

强关联电子 · 物理学 2009-10-31 A. Honecker

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when…

强关联电子 · 物理学 2018-09-03 Toru Sakai , Hiroki Nakano

The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground state magnetization with an external magnetic field for two different…

强关联电子 · 物理学 2009-10-31 Kunj Tandon , Siddhartha Lal , Swapan K. Pati , S. Ramasesha , Diptiman Sen

We investigate the critical scaling of the spin-1/2 antiferromagnet on the square lattice in the easy-plane (XXZ) regime, via numerical measurements of the entanglement entropy constructed from the zeroes of a polynomial ring. We relate…

统计力学 · 物理学 2009-08-22 P. R. Crompton

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

The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the $\sqrt{3}\times\sqrt{3}$ type; the interactions are…

材料科学 · 物理学 2017-05-15 Hiroki Nakano , Toru Sakai

We consider the $S=1/2$ Heisenberg antiferromagnet on the Tasaki square lattice (flat-band spin system) and study its low-temperature thermodynamics around the saturation magnetic field. To this end, we construct a mapping of the ground…

强关联电子 · 物理学 2026-05-05 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

We present a functional renormalization group scheme that allows us to calculate frustrated magnetic systems of arbitrary lattice geometry beyond O(200) sites from first principles. We study the magnetic susceptibility of the…

强关联电子 · 物理学 2015-05-19 Johannes Reuther , Ronny Thomale

We study the magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on a layered triangular lattice by means of a numerical cluster mean-field method with a scaling scheme (CMF+S). It has been known that antiferromagnetic…

强关联电子 · 物理学 2016-06-01 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita

The magnetic ground state of geometrically frustrated antiferromagnet attracts great research interests due to the possibility to realize novel quantum magnetic state such as a quantum spin liquid. Here we present a comprehensive magnetic…

强关联电子 · 物理学 2025-06-09 Feihao Pan , Nan Zhao , Songnan Sun , Chenglin Shang , Peng Cheng , Jieming Sheng , Liusuo Wu

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

强关联电子 · 物理学 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter
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