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We use a combination of analytical and numerical techniques to study the phase diagram of the frustrated Heisenberg model on the bilayer honeycomb lattice. Using the Schwinger boson description of the spin operators followed by a mean field…

强关联电子 · 物理学 2014-01-08 Hao Zhang , M. Arlego , C. A. Lamas

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

We have investigated the quantum $J_1-J_2-J_3$ model on the honeycomb lattice with exact diagonalizations and linear spin-wave calculations for selected values of $J_{2}/J_{1}$, $J_{3}/J_{1}$ and antiferromagnetic ($J_{1}>0$) or…

强关联电子 · 物理学 2009-11-07 J. B. Fouet , P. Sindzingre , C. Lhuillier

We investigate the competition between spin-supersolidity and phase separation in a frustrated spin-half model of weakly coupled dimers. We start by considering systems of hard-core bosons on the square lattice, onto which the low-energy…

强关联电子 · 物理学 2011-05-11 A. Fabricio Albuquerque , Nicolas Laflorencie , Jean-David Picon , Frédéric Mila

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

统计力学 · 物理学 2013-01-31 Jana Cisarova , Jozef Strecka

We construct and study two frustrated quantum spin-1/2 models on square lattice, which are like the antiferromagnetic $J_1$-$J_2$ model with some additional four-spin exchange interactions. These models admit an exactly solvable case in…

强关联电子 · 物理学 2009-06-01 Rakesh Kumar , Brijesh Kumar

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

强关联电子 · 物理学 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We investigate the ground state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the star lattice using infinite projected entangled pair states (iPEPS) and high-order series expansions. The model includes two distinct…

强关联电子 · 物理学 2025-12-17 Pratyay Ghosh , Jan Koziol , Samuel Nyckees , Kai Phillip Schmidt , Frédéric Mila

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

强关联电子 · 物理学 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

强关联电子 · 物理学 2009-10-31 Akihisa Koga , Norio Kawakami

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 implement the coupled cluster method to very high orders of approximation to study the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ Heisenberg model on a cross-striped square lattice. Every nearest-neighbour pair of sites on the square lattice…

强关联电子 · 物理学 2017-11-13 P. H. Y. Li , R. F. Bishop

The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the…

强关联电子 · 物理学 2009-11-07 Munehisa Matsumoto , Chitoshi Yasuda , Synge Todo , Hajime Takayama

By using an unbiased quantum Monte Carlo method, we investigate the hard-core Bose-Hubbard model on a square lattice with anisotropic dipole-dipole interaction. To study the effect of the anisotropy, dipole moments are assumed to be…

量子气体 · 物理学 2013-01-01 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima

We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ antiferromagnet with $J_{2} = J_{3} =\kappa J_1$ on the honeycomb lattice, using coupled-cluster theory and exact diagonalization methods. We…

强关联电子 · 物理学 2011-07-11 D. J. J. Farnell , R. F. Bishop , P. H. Y. Li , J. Richter , C. E. Campbell

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…

强关联电子 · 物理学 2009-11-10 D. Schmalfuss , R. Herms , J. Richter , J. Schulenburg

The phase diagram of lattice hard core bosons with nearest-neighbor interactions allowed to vary independently, from repulsive to attractive, along different crystallographic directions, is studied by Quantum Monte Carlo simulations. We…

统计力学 · 物理学 2022-08-10 Phong H. Nguyen , Massimo Boninsegni

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

量子气体 · 物理学 2013-01-30 Philipp Hauke

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv…

强关联电子 · 物理学 2013-09-18 R. F. Bishop , P. H. Y. Li , C. E. Campbell