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Zero-point quantum fluctuations of a N\'eel order can produce effective interactions between quasi-orphan spins weakly coupled to the lattice. On the $\sqrt{3}\times\sqrt{3}-$distorted triangular lattice, this phenomenon leads to a…

强关联电子 · 物理学 2023-04-18 G. G. Blesio , F. T. Lisandrini , M. G. Gonzalez

We studied the ground state phase diagram of spin-1/2 J1-J2 XY model on the square lattice with first- J1 and second-neighbor J2 antiferromagnetic interactions using both iDMRG and DMRG approaches. We show that a plaquette valence bond…

强关联电子 · 物理学 2023-06-14 Y. -H. Chan , Hong-Chen Jiang , Y. -C. Chen

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

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 present results of extensive finite-temperature Quantum Monte Carlo simulations on a SU(2) symmetric S=1/2 quantum antiferromagnet with a four-spin interaction [Sandvik, Phys. Rev. Lett. 98, 227202 (2007)]. Our simulations, which are…

强关联电子 · 物理学 2008-01-09 Roger G. Melko , Ribhu K. Kaul

The square-lattice $J_1$-$J_2$ $XXZ$ model with the ring-exchange interaction $K$ was investigated numerically. As for the hard-core-boson model with the nearest-neighbor hopping $J_1/2$, namely, the $J_1$-$K$ $XY$ model, it has been…

统计力学 · 物理学 2024-10-08 Yoshihiro Nishiyama

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

Ground-state and thermodynamic properties of the one-dimensional Heisenberg antiferromagnet in which two S=1/2 and two S=1 spins are arranged alternatively are studied by a quantum Monte Carlo method and by analytical estimates. It is found…

强关联电子 · 物理学 2007-05-23 T. Tonegawa , T. Hikihara , T. Nishino , M. Kaburagi , S. Miyashita , H. -J. Mikeska

We study the phase diagram of one-dimensional quantum ferrimagnets by using a numerical exact diagonalization of a finite size system along with a field-theoretical non-linear $\sigma$ model of the quantum ferrimagnets at zero temperature…

凝聚态物理 · 物理学 2009-11-07 M. Abolfath , A. Langari

We study a Hamiltonian system describing a three spin-1/2 cluster-like interaction competing with an Ising-like exchange. We show that the ground state in the cluster phase possesses symmetry protected topological order. A continuous…

量子物理 · 物理学 2015-05-27 Wonmin Son , Luigi Amico , Rosario Fazio , Alioscia Hamma , Saverio Pascazio , Vlatko Vedral

We determine the quantum phase diagram of the antiferromagnetic spin-1/2 XXZ model on the triangular lattice as a function of magnetic field and anisotropic coupling $J_z$. Using the density matrix renormalization group (DMRG) algorithm in…

强关联电子 · 物理学 2015-03-05 Daniel Sellmann , Xue-Feng Zhang , Sebastian Eggert

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

We show that laser assisted hopping of hard core bosons in a square optical lattice can be described by an antiferromagnetic $J_{1}$-$J_{2}$ XY model with tunable ratio of $J_{2}/J_{1}$. We numerically investigate the phase diagram of the…

量子气体 · 物理学 2015-06-04 Y. -H. Chan , L. -M. Duan

We use the DMRG method to calculate several energy eigenvalues of the frustrated $S=1/2$ square-lattice $J_1$-$J_2$ Heisenberg model on $2L \times L$ cylinders with $L \le 10$. We identify excited-level crossings versus the coupling ratio…

强关联电子 · 物理学 2018-09-12 Ling Wang , Anders W. Sandvik

We investigate the quantum phase diagram of t-J model on triangular lattice at 1/2 doping with various lattice sizes by using a combination of density matrix renormalization group (DMRG), variational Monte Carlo and quantum field theories.…

强关联电子 · 物理学 2016-05-02 Bing Ye , Andrej Mesaros , Ying Ran

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 study magnetic order in the Heisenberg antiferromagnet on the checkerboard lattice, a two-dimensional version of the pyrochlore network with strong geometric frustration. By employing the semiclassical (1/S) expansion we find that…

强关联电子 · 物理学 2007-05-23 O. Tchernyshyov , O. A. Starykh , R. Moessner , A. G. Abanov

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

强关联电子 · 物理学 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

强关联电子 · 物理学 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

强关联电子 · 物理学 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter