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The ground-state properties of a spin $S=1/2$ tetrameric Heisenberg antiferromagnetic chain with alternating couplings AF$_{1}$-AF$_{2}$-AF$_{1}$% -F (AF and F denote antiferromagnetic and ferromagnetic couplings, respectively) are studied…

Strongly Correlated Electrons · Physics 2008-10-08 Shou-Shu Gong , Gang Su

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

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 the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

Strongly Correlated Electrons · Physics 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

Structural and magnetic properties of a two-dimensional spin-$\frac{5}{2}$ frustrated triangular lattice antiferromagnet NH$_{4}$Fe(PO$_{3}$F)$_2$ are explored via x-ray diffraction, magnetic susceptibility, high-field magnetization, heat…

Materials Science · Physics 2025-02-11 S. Mohanty , K. M. Ranjith , C. S. Saramgi , Y. Skourski , B. Büchner , H. -J. Grafe , R. Nath

The recent progress in the optimization of two-dimensional tensor networks [H.-J. Liao, J.-G. Liu, L. Wang, and T. Xiang, Phys. Rev. X ${\bf 9}$, 031041 (2019)] based on automatic differentiation opened the way towards precise and fast…

Strongly Correlated Electrons · Physics 2021-02-16 Juraj Hasik , Didier Poilblanc , Federico Becca

We study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbour exchange bonds (J>0 (antiferromagnetic) and J'>0,…

Strongly Correlated Electrons · Physics 2009-10-31 Sven E. Krüger , Johannes Richter , Jörg Schulenburg , Damian J. J. Farnell , Raymond F. Bishop

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Minoru Takahashi

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical…

Strongly Correlated Electrons · Physics 2022-11-24 Run-Ze Chi , Yang Liu , Yuan Wan , Hai-Jun Liao , T. Xiang

Frustrated magnetic compounds, in particular low-dimensional, are topical research due to persistent uncover of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are…

Disordered Systems and Neural Networks · Physics 2019-08-22 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , A. F. Barabanov

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

Our studies evidence an anisotropic magnetic order below $T_N = 32$~K. Susceptibility data in small fields of about 1~T reveal an antiferromagnetic (AFM) order for $H \perp c$, whereas for $H \parallel c$ the data are reminiscent of a…

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice. Lattices of N={36,144,inf} sites with periodic boundary conditions are considered. For the…

Strongly Correlated Electrons · Physics 2015-05-13 G. Evenbly , G. Vidal

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

We apply a recently developed functional renormalization group (fRG) scheme for quantum spin systems to the spin-1/2 antiferromagnetic XXZ model on a two-dimensional square lattice. Based on an auxiliary fermion representation we derive…

Strongly Correlated Electrons · Physics 2013-01-14 Stefan Göttel , Sabine Andergassen , Carsten Honerkamp , Dirk Schuricht , Stefan Wessel

We performed variational calculation based on the multi-scale entanglemnt renormalization ansatz, for the antiferromagnetic Heisenberg model on a Shastry Sutherland lattice (SSL). Our results show that at coupling ratio J'/J= 0.687(3), the…

Strongly Correlated Electrons · Physics 2012-12-11 Jie Lou , Takafumi Suzuki , Kenji Harada , Naoki Kawashima

We use the coupled cluster method (CCM) to study a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ Heisenberg antiferromagnet on a bilayer honeycomb lattice with $AA$ stacking. Both nearest-neighbor (NN) and frustrating…

Strongly Correlated Electrons · Physics 2018-07-09 P. H. Y. Li , R. F. Bishop

We propose that the valence bonds forming the ground state of the 2D-AF Heisenberg model on a square lattice may rotate under the effect of the antiferromagnetic background. To test this idea we apply a real space renormalization group…

Condensed Matter · Physics 2007-05-23 German Sierra , Miguel A. Martin-Delgado

The classical and the quantum, spin $S=1/2, versions of the uniaxially anisotropic Heisenberg antiferromagnet on a square lattice in a field parallel to the easy axis are studied using Monte Carlo techniques. For the classical version,…

Statistical Mechanics · Physics 2011-11-09 M. Holtschneider , S. Wessel , W. Selke

In this article we apply a recently invented analytical real-space renormalization group formulation which is based on numerical concepts of the density matrix renormalization group. Within a rigorous mathematical framework we construct…

Statistical Mechanics · Physics 2009-10-31 Andreas Degenhard