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In this Letter we report how thermodynamic properties of a giant frustrated magnetic Keplerate molecule of N=30 spins s=1/2 can be evaluated with the help of the highly accurate finite-temperature Lanczos method. The comparison to…

Strongly Correlated Electrons · Physics 2010-12-23 J. Schnack

We discuss the magnetocaloric properties of gadolinium containing magnetic molecules which potentially could be used for sub-Kelvin cooling. We show that a degeneracy of a singlet ground state could be advantageous in order to support…

Strongly Correlated Electrons · Physics 2014-09-17 J. Schnack , C. Heesing

It is virtually impossible to evaluate the magnetic properties of large anisotropic magnetic molecules numerically exactly due to the huge Hilbert space dimensions as well as due to the absence of symmetries. Here we propose to advance the…

Strongly Correlated Electrons · Physics 2014-09-17 O. Hanebaum , J. Schnack

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

Strongly Correlated Electrons · Physics 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

We use the example of the cuboctahedron, a highly frustrated molecule with 12 sites, to study the approach to the classical limit. We compute magnetic susceptibility, specific heat, and magnetic cooling rate at high magnetic fields and low…

Strongly Correlated Electrons · Physics 2009-02-17 A. Honecker , M. E. Zhitomirsky

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable…

Strongly Correlated Electrons · Physics 2020-03-04 Katsuhiro Morita , Takami Tohyama

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the…

Strongly Correlated Electrons · Physics 2009-11-11 R. Schmidt , J. Richter , J. Schnack

We investigate the magnetocaloric properties of certain antiferromagnetic spin systems that have already been or very likely can be synthesized as magnetic molecules. It turns out that the special geometric frustration which is present in…

Strongly Correlated Electrons · Physics 2008-07-23 J. Schnack , R. Schmidt , J. Richter

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For…

Strongly Correlated Electrons · Physics 2024-06-12 Philipp Schmoll , Christian Balz , Bella Lake , Jens Eisert , Augustine Kshetrimayum

The description and detection of unconventional magnetic states such as spin liquids is a recurring topic in condensed matter physics. While much of the efforts have traditionally been directed at geometrically frustrated antiferromagnets,…

Strongly Correlated Electrons · Physics 2018-05-25 L. Bovo , M. Twengström , O. A. Petrenko , T. Fennell , M. J. P. Gingras , S. T. Bramwell , P. Henelius

We overview physical effects of exchange frustration and quantum spin fluctuations in (quasi-) two dimensional (2D) quantum magnets ($S=1/2$) with square, rectangular and triangular structure. Our discussion is based on the $J_1$-$J_2$ type…

Strongly Correlated Electrons · Physics 2017-10-13 Burkhard Schmidt , Peter Thalmeier

We present results from our analysis of the finite-temperature properties of the spin 1/2 $J_{1}$-$J_{2}$ Heisenberg model on a square lattice. The analysis is based on the exact diagonalization of small clusters with 16 and 20 sites…

Strongly Correlated Electrons · Physics 2009-11-10 Burkhard Schmidt , Peter Thalmeier

Geometrically frustrated magnetic molecules have attracted a lot of interest in the field of molecular magnetism as well as frustrated Heisenberg antiferromagnets. In this article we demonstrate how an approximate diagonalization scheme can…

Strongly Correlated Electrons · Physics 2018-10-23 R. Schnalle , A. Laeuchli , J. Schnack

Thermodynamic properties of cubic Heisenberg ferromagnets with competing exchange interactions are considered near the frustration point where the coefficient $D$ in the spin-wave spectrum $E_{\mathbf{k}}\sim D k^{2}$ vanishes. Within the…

Strongly Correlated Electrons · Physics 2015-04-21 A. N. Ignatenko , A. A. Katanin , V. Yu. Irkhin

In this study, we investigate the finite-temperature properties of the spin-1/2 $J_1-J_2$ Heisenberg model on the kagome lattice using the orthogonalized finite-temperature Lanczos method. Under a zero magnetic field, the specific heat…

Strongly Correlated Electrons · Physics 2023-11-10 Katsuhiro Morita

The spin-$1/2$ Heisenberg antiferromagnet on the square-kagome (SK) lattice has attracted growing attention as a model system of highly frustrated quantum magnetism. A further motivation for theoretical studies comes from the recent…

Strongly Correlated Electrons · Physics 2023-06-22 Johannes Richter , Jürgen Schnack

Frustrated bilayer quantum magnets have attracted attention as flat-band spin systems with unconventional thermodynamic properties. We study the low-temperature properties of a frustrated honeycomb-lattice bilayer spin-$\frac{1}{2}$…

Strongly Correlated Electrons · Physics 2018-07-26 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

Using magnetization, specific heat and neutron scattering measurements, as well as exact calculations on realistic models, the magnetic properties of the \lacuvo compound are characterized on a wide temperature range. At high temperature,…

We have found a class of zero-dimensional geometrically frustrated Heisenberg spin systems exhibiting anomalous behavior in an external magnetic field B similar to that occuring in geometrically frustrated planar antiferromagnetic lattices.…

Materials Science · Physics 2009-11-10 C. Schroeder , H. Nojiri , J. Schnack , P. Hage , M. Luban , P. Koegerler

Frustrated three dimensional quantum magnets are notoriously impervious to theoretical analysis. Here we use a combination of three computational methods to investigate the three dimensional pyrochlore $S=1/2$ quantum antiferromagnet, an…

Strongly Correlated Electrons · Physics 2020-08-10 Robin Schäfer , Imre Hagymási , Roderich Moessner , David J. Luitz
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