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We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

强关联电子 · 物理学 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell

Motivated by the search for unconventional orders in frustrated quantum magnets, we present a multi-method investigation into the nature of the quantum phase diagram of the spin-$1/2$ Heisenberg model on the maple-leaf lattice with three…

强关联电子 · 物理学 2026-02-26 Lasse Gresista , Dominik Kiese , Simon Trebst , Yasir Iqbal

We present numerical exact results for the ground state and the low-lying excitations for the spin-1/2 J1-J2 Heisenberg antiferromagnet on finite square lattices of up to N=40 sites. Using finite-size extrapolation we determine the…

强关联电子 · 物理学 2010-01-11 J. Richter , J. Schulenburg

We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a $J_1$-$J_2$ Heisenberg model at 45$^\circ$ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have…

强关联电子 · 物理学 2024-09-02 João C. Getelina , Zekun Zhuang , Premala Chandra , Piers Coleman , Peter P. Orth , S. L. Sondhi

We study the phase diagram of the antiferromagnetic $J_1$-$J_2$ Heisenberg model on the pyrochlore lattice with $S=1$ spins at zero and finite temperatures. We use a combination of complementary state-of-the-art quantum many-body approaches…

强关联电子 · 物理学 2025-05-28 Imre Hagymási , Nils Niggemann , Johannes Reuther

We investigate the ground-state magnetic order of the spin-1/2 J1-J2 Heisenberg model on the square lattice with ferromagnetic nearest-neighbor exchange J1<0 and frustrating antiferromagnetic next-nearest neighbor exchange J2>0. We use the…

强关联电子 · 物理学 2015-05-18 J. Richter , R. Darradi , J. Schulenburg , D. J. J. Farnell , H. Rosner

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

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

强关联电子 · 物理学 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon

The magnetic structure of the double perovskite compound Sr$_2$CuTeO$_6$ was determined from neutron powder diffraction data. This material is magnetically described as an $S\,{=}\,1/2$ quasi-two-dimensional square-lattice Heisenberg model…

强关联电子 · 物理学 2016-03-09 Tomoyuki Koga , Nobuyuki Kurita , Maxim Avdeev , Sergey Danilkin , Taku J. Sato , Hidekazu Tanaka

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

量子气体 · 物理学 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

Spin-$1/2$ kagome antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) ground states. While QSL ground states are predicted for the pure Heisenberg model, understanding the robustness of the QSL to additional…

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

强关联电子 · 物理学 2009-11-10 S. Moukouri

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-$1/2$ Ising--Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined…

统计力学 · 物理学 2021-12-15 Lucia Gálisová , Michał Kaczor

We studied structural and magnetic properties of a series of insulating double perovskite compounds, La$_{2-x}$Sr$_{x}$CuRuO$_{6}$ (0 $\le$ x $\le$ 1), representing doping via \textit{A}-site substitution. The end members…

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

无序系统与神经网络 · 物理学 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

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

Groundstate magnetism of the one-band Hubbard model on the frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling are revisited within mean field approximation.…

强关联电子 · 物理学 2021-07-06 Ze Ruan , Xiu-Cai Jiang , Ze-Yi Song , Yu-Zhong Zhang

We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by non-collinear long-range order with non-zero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange…

强关联电子 · 物理学 2020-02-03 Santanu Dey , Eric C. Andrade , Matthias Vojta

The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

强关联电子 · 物理学 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

Nematic order is an exotic property observed in several strongly correlated systems, such as the iron-based superconductors. Using large-scale density matrix renormalization group (DMRG) techniques, we study at zero-temperature the nematic…

强关联电子 · 物理学 2020-01-16 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Qimiao Si , Elbio Dagotto