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Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-operator and strong-coupling expansions, we analyse the dynamical spin structure factor of the spin-half Heisenberg model on the square-lattice bilayer. We…

Strongly Correlated Electrons · Physics 2016-01-06 M. Lohöfer , T. Coletta , D. G. Joshi , F. F. Assaad , M. Vojta , S. Wessel , F. Mila

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

We study a bilayer of the frustrated $J_1$-$J_2$ Heisenberg-model on the square lattice. Starting from the dimer limit at strong interlayer coupling, we perform series expansions using the perturbative Continuous Unitary Transformation,…

Strongly Correlated Electrons · Physics 2023-02-24 Erik Wagner , Wolfram Brenig

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

We study the excitation spectrum of the two-leg antiferromagnetic S=1/2 Heisenberg ladder. Our approach is based on the description of the excitations as triplets above a strong-coupling singlet ground state. The quasiparticle spectrum is…

Strongly Correlated Electrons · Physics 2009-10-31 O. P. Sushkov , V. N. Kotov

Motivated by the lack of direct evidence with inelastic neutron scattering of the well documented bound state of Heisenberg ferromagnets, we use the time-dependent Thermal Density Matrix Renormalization Group algorithm to study the…

Strongly Correlated Electrons · Physics 2022-03-07 Mithilesh Nayak , Frédéric Mila

The ground state properties and phase diagram of the bilayer square-lattice Heisenberg model are studied in a broad parameter space of intralayer exchange couplings, assuming an antiferromagnetic coupling between constituent layers. In the…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Matsushita , Martin P. Gelfand , Chikara Ishii

We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the inter-plaquette coupling. Using stochastic series expansion quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-09-08 Jun-Han Huang , Zenan Liu , Han-Qing Wu , Dao-Xin Yao

For special coupling ratios, the one-dimensional (1D) s=1/2 Heisenberg model with antiferromagnetic nearest and next-nearest neighbor interactions has a pure dimer ground state, and the 1D s=1 Heisenberg model with antiferromagnetic…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller

We review the theoretical behaviour of the total and one-particle structure factors at a quantum phase transition for temperature T=0. The predictions are compared with exact or numerical results for the transverse Ising model, the…

Statistical Mechanics · Physics 2009-11-13 C. J. Hamer

Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field theory for general S and high-order expansions about the dimer…

Condensed Matter · Physics 2011-01-06 Martin P. Gelfand , Zheng Weihong , C. J. Hamer , J. Oitmaa

We theoretically study spin-$1/2$ fermions confined to two spatial dimensions and experiencing isotropic short-range attraction in the presence of both spin-orbit coupling and Zeeman spin splitting - a prototypical system for developing…

Quantum Gases · Physics 2022-05-25 Ulrich Ebling , Ulrich Zülicke , Joachim Brand

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

Dynamical structure factors of the S=1 bond-alternating spin chains in the dimer phase are calculated at finite temperature, using the pair dynamical correlated-effective-field approximation. At T=0, the delta-function-type peak of the…

Strongly Correlated Electrons · Physics 2009-11-11 Takahumi Suzuki , Sei-ichiro Suga

We determine the dynamical structure factor of the two-leg spin-1/2 Heisenberg ladder at low temperatures in the regime of strong rung coupling. The dominant feature at zero temperature is the coherent triplon mode. We show that the…

Strongly Correlated Electrons · Physics 2010-09-17 W. D. Goetze , U. Karahasanovic , F. H. L. Essler

The dynamical spin structure factor and the Raman response are calculated for structurally dimerized and spin-Peierls chains in a magnetic field, using exact diagonalization techniques. In both cases there is a spin liquid phase composed of…

Strongly Correlated Electrons · Physics 2009-10-31 Weiqiang Yu , Stephan Haas

We present a numerical study of the spin-1/2 bilayer Heisenberg antiferromagnet with random interlayer dimer dilution. From the temperature dependence of the uniform susceptibility and a scaling analysis of the spin correlation length we…

Disordered Systems and Neural Networks · Physics 2009-11-07 O. P. Vajk , M. Greven

We study numerically the dimerized Heisenberg model with frustration appropriate for the quasi-1D spin-Peierls compound CuGeO$_3$. We present evidence for a bound state in the dynamical structure factor for any finite dimerization $\delta$…

Strongly Correlated Electrons · Physics 2016-08-31 Andreas Fledderjohann , Claudius Gros

The exploration of cold polar molecules in different geometries is a rapidly developing experimental and theoretical pursuit. Recently, the implementation of optical lattices has enabled confinement in stacks of planes, the number of which…

Quantum Gases · Physics 2011-09-12 A. G. Volosniev , N. T. Zinner , D. V. Fedorov , A. S. Jensen , B. Wunsch

The dynamical dimer structure factor is an observable probing spin-singlet excitations of quantum magnets distinct from those commonly studied by the spin structure factor. We report the dimer response for the extended spin-$1/2$…

Strongly Correlated Electrons · Physics 2026-04-29 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann , Johannes Knolle
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