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We investigate a simple model of a frustrated spin-1/2 Heisenberg chain coupled to adiabatic phonons under an external magnetic field. Using field theoretic methods complemented by extensive Density Matrix Renormalisation Group techniques…

Strongly Correlated Electrons · Physics 2009-11-11 T. Vekua , D. C. Cabra , A. Dobry , C. Gazza , D. Poilblanc

Spin-1/2 Heisenberg model on kagome lattice is a typical frustrated quantum spin system. A basic structure of kagome lattice is also present in kagome-strip lattice in one dimension, where a similar type of frustration is expected. We thus…

Strongly Correlated Electrons · Physics 2018-01-19 K. Morita , T. Sugimoto , S. Sota , T. Tohyama

We investigate a simple model of a frustrated classical spin chain coupled to adiabatic phonons under an external magnetic field. A thorough study of the magnetization properties is carried out both numerically and analytically. We show…

Strongly Correlated Electrons · Physics 2007-05-23 D. C. Cabra , M. Moliner , F. Stauffer

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization…

Strongly Correlated Electrons · Physics 2016-08-15 A. Fledderjohann , C. Gerhardt , M. Karbach , K. -H. Mütter , R. Wießner

We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaux for m=0, 1/4, 1/2 and 3/4, where m is the magnetization normalized by its saturation value.…

Strongly Correlated Electrons · Physics 2017-01-26 Sylvain Capponi

Magnetization plateaus are some of the most striking manifestations of frustration in low-dimensional spin systems. We present numerical studies of magnetization plateaus in the fascinating spin-1/2 skewed ladder system obtained by…

Strongly Correlated Electrons · Physics 2020-05-27 Dayasindhu Dey , Sambunath Das , Manoranjan Kumar , S. Ramasesha

We study the magnetisation process of the one dimensional spin-1/2 antiferromagnetic Heisenberg model with modulated couplings over j=1,2,3 sites. It turns out that the evolution of magnetisation plateaus depends on j and on the wave number…

Strongly Correlated Electrons · Physics 2016-08-31 R. M. Wiessner , A. Fledderjohann , K. -H. Muetter , M. Karbach

We present a study of the magnetic order and the structural stability of two-dimensional quantum spin systems in the presence of spin-lattice coupling. For a square lattice it is shown that the plaquette formation is the most favourable…

Statistical Mechanics · Physics 2013-05-29 Carsten Aits , Ute Löw , Andreas Klümper , Werner Weber

We analyze the magnetization curve of the spin-1/2 kagome Heisenberg model in a magnetic field. Using state-of-the-art variational wavefunctions based on neural networks, we confirm the presence of robust magnetization plateaus at $m=1/3$,…

Strongly Correlated Electrons · Physics 2026-02-16 Andreas Raikos , Sylvain Capponi , Fabien Alet

Magnetization plateaus, visible as anomalies in magnetic susceptibility at low temperatures, are one of the hallmarks of frustrated magnetism. We show how an extremely robust half-magnetization plateau can arise from coupling between spin…

Strongly Correlated Electrons · Physics 2009-11-10 K. Penc , N. Shannon , H. Shiba

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin systems at rational values of the magnetization. In one dimension, the appearance of a plateau is controlled by a quantization condition for the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , J. Schulenburg , J. Richter

We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at…

Strongly Correlated Electrons · Physics 2016-10-19 Katsuhiro Morita , Naokazu Shibata

Magnetization plateaus in quantum spin systems emerges in two-dimensional frustrated systems such as kagome lattice. The spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice is also appropriate for the study of magnetization…

Strongly Correlated Electrons · Physics 2018-03-16 Katsuhiro Morita , Takami Tohyama

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

The Heisenberg model on a face center cubic (fcc) lattice is a typical three-dimensional frustrated spin system expected to have magnetization plateaus and supersolid phases. There are model compounds $A_2$CoTeO$_6$ ($A$ = Ca, Sr, Pb) for…

Strongly Correlated Electrons · Physics 2019-04-24 Katsuhiro Morita , Takami Tohyama

We propose a microscopic magneto-electric model in which the coupling between spins and electric dipoles is mediated by lattice distortions. The magnetic sector is described by a spin S=1/2 Heisenberg model coupled directly to the lattice…

Strongly Correlated Electrons · Physics 2019-11-06 D. C. Cabra , A. O. Dobry , C. J. Gazza , G. L. Rossini

We investigate the spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice in an external magnetic field. By combining density-matrix renormalization group, sign-problem-free quantum Monte Carlo in a mixed…

Statistical Mechanics · Physics 2026-03-03 Katarina Karlova , Jozef Strecka

We clarify the existence of several magnetization plateaux for the kagome $S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner…

Strongly Correlated Electrons · Physics 2013-10-30 Sylvain Capponi , Oleg Derzhko , Andreas Honecker , Andreas M. Läuchli , Johannes Richter

We discuss our numerical results on the properties of the S = 1/2 frustrated J1-J2 Heisenberg model on a square lattice as a function of temperature and frustration angle phi = atan(J2/J1) in an applied magnetic field. We cover the full…

Strongly Correlated Electrons · Physics 2007-06-21 Burkhard Schmidt , Nic Shannon , Peter Thalmeier
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