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The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

凝聚态物理 · 物理学 2015-06-25 V. I. Belinicher , L. V. Popovich

We consider the low energy spectrum of spin-1/2 two-dimensional triangular lattice models subject to a ferromagnetic Heisenberg interaction and a three spin chiral interaction of variable strength. Initially, we consider quasi-one…

量子物理 · 物理学 2008-01-20 D. I. Tsomokos , J. J. Garcia-Ripoll , N. R. Cooper , J. K. Pachos

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

强关联电子 · 物理学 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We study, on the basis of the general entangled-plaquette variational ansatz, the ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice. Our numerical estimates are in good agreement with…

强关联电子 · 物理学 2015-05-19 Fabio Mezzacapo , J. Ignacio Cirac

We propose an exactly solvable multisite interaction spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice for the rigorous studies of chaotic entanglement. By making use of the generalized star-triangle transformation, we map…

统计力学 · 物理学 2015-08-25 Levon Chakhmakhchyan , Stéphane Guérin , Claude Leroy

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

强关联电子 · 物理学 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We propose a protocol to construct atypical high-energy eigenstates in quantum systems by using ground states of Hamiltonians deformed by conserved charges. For the spin-1/2 Heisenberg XXX chain we study a chiral Hamiltonian built from the…

强关联电子 · 物理学 2025-12-11 Tigran A. Sedrakyan , Junjun Pang , Chenan Wei , Baigeng Wang

We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the {\it trimerized} version of the spin-1/2 {\it kagome} antiferromagnet. Using…

强关联电子 · 物理学 2008-12-08 Michel Ferrero , Federico Becca , Frédéric Mila

We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one-dimensional analogue of the Kagome lattice, and construct its phase diagram in an extended…

强关联电子 · 物理学 2024-09-20 Sayan Ghosh , Rajiv R. P. Singh , Manoranjan Kumar

Spin-1/2 Heisenberg model on the Shastry-Sutherland lattice is considered within the many-body perturbation theory developed from the exactly solved spin-1/2 Ising-Heisenberg model with the Heisenberg intradimer and Ising interdimer…

强关联电子 · 物理学 2022-02-09 T. Verkholyak , J. Strecka

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to…

强关联电子 · 物理学 2007-05-23 M. E. Zhitomirsky

Chirality of materials in nature appears when there are asymmetries in their lattice structures or interactions in a certain environment. Recent development of quantum simulation technology has enabled the manipulation of qubits.…

强关联电子 · 物理学 2016-06-23 Tetsufumi Tanamoto

Starting from a modified version of the the S=1/2 Kagome antiferromagnet to emphasize the role of elementary triangles, an effective Hamiltonian involving spin and chirality variables is derived. A mean-field decoupling that retains the…

强关联电子 · 物理学 2009-10-31 Frederic Mila

We investigate the quasiparticle-mass enhancement in the Hubbard model on the frustrated kagome lattice by using a cluster extension of the dynamical mean-field theory. By analyzing the cluster density matrix, we find a hierarchy of energy…

强关联电子 · 物理学 2015-05-18 Masafumi Udagawa , Yukitoshi Motome

The two-dimensional Heisenberg spin-glass model is investigated by means of a semiclassical expansion around classical states. At leading order, we obtain an effective quadratic spin-wave Hamiltonian and study the localization properties of…

无序系统与神经网络 · 物理学 2026-03-24 Giacomo Bracci-Testasecca , Jacopo Niedda , Aldo Coraggio , Roderich Moessner , Antonello Scardicchio

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 employ a plaquette basis-generated by coupling the four spins in a $2\times2$ lattice to a well-defined total angular momentum-for the study of Heisenberg ladders with antiferromagnetic coupling. Matrix elements of the Hamiltonian in…

凝聚态物理 · 物理学 2016-08-31 J. Piekarewicz , J. R. Shepard

We present a detailed functional renormalization group analysis of spin-1/2 dipolar Heisenberg model on square lattice. This model is similar to the well known $J_1$-$J_2$ model and describes the pseudospin degrees of freedom of polar…

量子气体 · 物理学 2018-06-08 Ahmet Keles , Erhai Zhao

The ground state and zero-temperature magnetization process of the spin-1/2 Ising-Heisenberg model on two-dimensional triangles-in-triangles lattices is exactly calculated using eigenstates of the smallest commuting spin clusters. Our…

统计力学 · 物理学 2015-06-12 Jana Cisarova , Frederic Michaud , Frederic Mila , Jozef Strecka

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice. Lattices of N={36,144,inf} sites with periodic boundary conditions are considered. For the…

强关联电子 · 物理学 2015-05-13 G. Evenbly , G. Vidal
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