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The ground state of the bilayer Kitaev model with the Heisenberg-type interlayer exchange interaction is investigated by means of the exact diagonalization. Calculating the ground-state energy, local quantity defined on each plaquette, and…

Strongly Correlated Electrons · Physics 2019-05-24 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga

We investigate a bilayer Kitaev model, where two honeycomb layers are coupled by the Heisenberg interactions, to discuss effects of an interlayer coupling against the Kitaev quantum spin liquids (QSLs). In this model, there exists a local…

Strongly Correlated Electrons · Physics 2018-03-06 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga

We study ground-state and thermodynamic properties of an $S=1$ Kitaev model. We first clarify the existence of global parity symmetry in addition to the local symmetry on each plaquette, which enables us to perform the large scale…

Strongly Correlated Electrons · Physics 2018-05-03 Akihisa Koga , Hiroyuki Tomishige , Joji Nasu

We present a general computational framework to investigate ground state properties of quantum spin models on infinite two-dimensional lattices using automatic differentiation-based gradient optimization of infinite projected entangled-pair…

Computational Physics · Physics 2023-08-08 Xing-Yu Zhang , Shuang Liang , Hai-Jun Liao , Wei Li , Lei Wang

We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice…

Quantum Physics · Physics 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi

We present an exact diagonalization study of bilayer clusters of t-J model. Our results indicate a crossover between two markedly different regimes which occurs when the ratio J_perp/J between inter-layer and intra-layer exchange constants…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers…

Strongly Correlated Electrons · Physics 2016-10-12 Akinori Tanaka

The ground state of the square lattice bilayer quantum antiferromagnet with nearest ($J_1$) and next-nearest ($J_2$) neighbour intralayer interaction is studied by means of the dimer expansion method up to the 6-th order in the interlayer…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuo Hida

We study the ground state and low-lying excited states of the Kitaev-Heisenberg model on a ladder geometry using the density matrix renormalization group and Lanczos exact diagonalization methods. The Kitaev and Heisenberg interactions are…

Strongly Correlated Electrons · Physics 2019-06-19 Cliò Efthimia Agrapidis , Jeroen van den Brink , Satoshi Nishimoto

We present a innovative relationship between ground states of the Ising model and dimer coverings which sheds new light on the Ising Models with highly degenerated ground states and enables one to construct such models. Thanks to this…

Statistical Mechanics · Physics 2010-12-22 Jerzy Cislo

Inspired by the Affleck-Kennedy-Lieb-Tasaki (AKLT) model, we present exact solutions for a spin-1 chain with Kitaev-like couplings. We consider an expanded Kitaev model with bilinear and biquadratic terms. At an exactly solvable point, the…

Strongly Correlated Electrons · Physics 2025-10-16 Alwyn Jose Raja , R. Ganesh

We study the iron dimer by using an accurate ansatz for quantum chemical calculations based on a simple variational wave function, defined by a single geminal expanded in molecular orbitals and combined with a real space correlation factor.…

Other Condensed Matter · Physics 2009-06-29 Michele Casula , Mariapia Marchi , Sam Azadi , Sandro Sorella

We report on a study of a bilayer two-dimensional electron gas at Landau level filling factor $\nu=2$. The system exhibits both magnetic and spontaneous interlayer phase coherence broken symmetries. We propose a 3-parameter Slater…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. MacDonald , R. Rajaraman , T. Jungwirth

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

Excitation spectra in bilayer quantum Hall systems at total Landau-level filling $\nu=2$ are studied by the Hartree-Fock-Bogoliubov approximation. The systems have the spin degrees of freedom in addition to the layer degrees of freedom…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yuichi Shimoda , Tatsuya Nakajima , Anju Sawada

We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as…

Strongly Correlated Electrons · Physics 2024-12-24 Elahe Samimi , Antonia Duft , Patrick Adelhardt , Kai Phillip Schmidt , Saeed S. Jahromi

We present a new method to study the ground state of quantum spin systems using the Monte Carlo techniques together with restructured intermediate states which we proposed previously. Our basic idea is to obtain coefficients in the…

Condensed Matter · Physics 2016-08-31 Tomo Munehisa , Yasuko Munehisa

We use perturbative series expansions about a staggered dimerized ground state to compute the ground state energy, triplet excitation spectra and spectral weight for a one-dimensional model in which each site has an $S=\case 1/2$ spin ${\bf…

Strongly Correlated Electrons · Physics 2009-11-07 Weihong Zheng , J. Oitmaa

The purpose of this paper is to investigate the ground-state properties of two-dimensional Heisenberg models on a square lattice with a given dimerization. Our aim is threefold: First, we want to investigate the dimensional transition from…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper , K. Hamacher

We study the spectrum of a bilayer of Kitaev magnets on the honeycomb lattice, coupled by Heisenberg exchange in the quantum-dimer phase at strong interlayer coupling. Using the perturbative Continuous Unitary transformation (pCUT) we…

Strongly Correlated Electrons · Physics 2021-09-27 Erik Wagner , Wolfram Brenig
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