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Exactly solvable frustrated quantum spin models consisting of a diamond unit structure are presented. The ground states are characterized by tetramer-dimer states with a macroscopic degeneracy in a certain range of isotropic exchange…

强关联电子 · 物理学 2016-10-03 K. Morita , N. Shibata

Dimerization of a spin-half Heisenberg antiferromagnet on a square lattice is investigated by taking unexpanded exchange couplings. Several dimerized configurations are considered some of which are shown to have lower ground state energies…

凝聚态物理 · 物理学 2008-02-03 Aiman Al-Omari , A. H. Nayyar

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

Answering the question of existence of efficient quantum algorithms for NP-hard problems require deep theoretical understanding of the properties of the low-energy eigenstates and long-time coherent dynamics in quantum spin glasses. We…

无序系统与神经网络 · 物理学 2019-07-04 Vadim N. Smelyanskiy , Kostyantyn Kechedzhi , Sergio Boixo , Hartmut Neven , Boris Altshuler

We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional geometries and spin configurations. We regularize this path…

高能物理 - 理论 · 物理学 2015-07-15 J. Ambjorn , Sh. Khachatryan , A. Sedrakyan

The collective modes of stripes in double layer quantum Hall systems are computed using the time-dependent Hartree-Fock approximation. It is found that, when the system possesses spontaneous interlayer coherence, there are two gapless…

介观与纳米尺度物理 · 物理学 2009-11-07 R. Cote , H. A. Fertig

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

统计力学 · 物理学 2013-09-18 Angel J. Garcia-Adeva

Energy spectra and spin configurations of a system of N=4 electrons in lateral double quantum dots (quantum dot Helium molecules) are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

介观与纳米尺度物理 · 物理学 2009-08-03 Ying Li , Constantine Yannouleas , Uzi Landman

Artificial quantum systems have emerged as indispensable platforms to realize exotic topological matter in a well-controlled manner. Here, we demonstrate topological quantum Heisenberg spin lattices, engineered with spin chains and…

介观与纳米尺度物理 · 物理学 2025-10-13 Hao Wang , Peng Fan , Jing Chen , Lili Jiang , Hong-Jun Gao , Jose L. Lado , Kai Yang

We study a model of spins 1/2 on a square lattice, generalizing the quantum compass model via the addition of perturbing Heisenberg interactions between nearest neighbors, and investigate its phase diagram and magnetic excitations. This…

强关联电子 · 物理学 2015-06-05 F. Trousselet , A. M. Oles , P. Horsch

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

强关联电子 · 物理学 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

强关联电子 · 物理学 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

We use the spin functional renormalization group to investigate the $J_1$-$J_2$ quantum Heisenberg model on a square lattice. By incorporating sum rules associated with the fixed length of the spin operators as well as the nontrivial…

强关联电子 · 物理学 2024-05-08 Andreas Rückriegel , Dmytro Tarasevych , Peter Kopietz

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

强关联电子 · 物理学 2007-05-23 S. Moukouri , J. V. Alvarez

Achieving long-range ferrimagnetic order in purely organic systems remains a major challenge in molecular magnetism. Here we report the synthesis and characterization of heterospin-coupling motifs, formed by covalently linking spin-1/2 and…

介观与纳米尺度物理 · 物理学 2026-04-10 Elia Turco , Fupeng Wu , Annika Bernhardt , Nils Krane , Ji Ma , Roman Fasel , Michal Juriček , Xinliang Feng , Pascal Ruffieux

We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually…

量子物理 · 物理学 2007-05-23 G. P. Berman , V. N. Gorshkov , V. I. Tsifrinovich

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

强关联电子 · 物理学 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

A number of interesting features of the ground states of quantum spin chains are analized with the help of a functional integral representation of the system's equilibrium states. Methods of general applicability are introduced in the…

凝聚态物理 · 物理学 2009-10-22 Michael Aizenman , Bruno Nachtergaele

We devote this work to the study of the mean-field phase diagram of the $\nu=0$ quantum Hall state in bilayer graphene and the computation of the corresponding neutral collective modes, extending the results of recent works in the…

介观与纳米尺度物理 · 物理学 2017-04-20 J. R. M. de Nova , I. Zapata

We investigate the non magnetic phase of the spin-half frustrated Heisenberg antiferromagnet on the square lattice using exact diagonalization (up to 36 sites) and quantum Monte Carlo techniques (up to 144 sites). The spin gap and the…

强关联电子 · 物理学 2009-10-31 Luca Capriotti , Sandro Sorella