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The Ising model, often seen as the paradigmatic spin model, has been heavily studied for its mathematical description of ferromagnetism in statistical mechanics. We explore a quantum version of this model, the transverse field Ising model,…

Statistical Mechanics · Physics 2023-11-09 Abhiraj Jalagekar

The synergistic interplay between spin correlations, spin-orbit coupling, and competing exchange interactions provides a promising route to realize exotic quantum states with nontrivial excitations in rare-earth based frustrated magnets.…

Strongly Correlated Electrons · Physics 2026-05-25 J. Khatua , D. Tay , T. Shiroka , M. Pregelj , K. Kargeti , S. K. Panda , G. B. G. Stenning , P. Manuel , M. D. Le , D. T. Adroja , P. Khuntia

We report positive muon spin relaxation measurements on the triangular lattice magnetic system FeGa2S4. A magnetic transition not previously detected by specific heat and magnetic susceptibility measurements is found in zero field at T^*…

Strongly Correlated Electrons · Physics 2012-04-25 P. Dalmas de Reotier , A. Yaouanc , D. E. MacLaughlin , Songrui Zhao , T. Higo , S. Nakatsuji , Y. Nambu , C. Marin , G. Lapertot , A. Amato , C. Baines

Magnetization, entropy and magnetocaloric properties of various geometrically frustrated tetrahedra-based Ising antiferromagnetic nanoclusters with corner-, edge-, and face-sharing topologies are studied by exact enumeration. It is found…

Strongly Correlated Electrons · Physics 2019-06-26 M. Mohylna , M. Žukovič

With up to 7 million spins, the existence of spontaneous magnetization of Ising spins on directed Barabasi-Albert networks is investigated by Monte Carlo simulations. We confirm our earlier result that the magnetization for different…

Disordered Systems and Neural Networks · Physics 2007-05-23 Muneer A. Sumour , M. M. Shabat , D. Stauffer

We numerically study the one-dimensional long-range Transverse Field Ising Model (TFIM) in the antiferromagnetic (AFM) regime at zero temperature using Generalized Hartree-Fock (GHF) theory. The spin-spin interaction extends to all spins in…

Quantum Physics · Physics 2023-05-10 Michael P. Kaicher , Davide Vodola , Simon B. Jäger

We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that…

Statistical Mechanics · Physics 2013-06-25 Milan Žukovič , Andrej Bobák

Rare earth triangular lattice materials have been proposed as a good platform for the investigation of frustrated magnetic ground states. KErSe$_2$ with the delafossite structure, contains perfect two-dimensional Er$^{3+}$ triangular layers…

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice…

Strongly Correlated Electrons · Physics 2009-10-31 A. Honecker

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

We consider the problem of the doped Ising antiferromagnet on the frustrated triangular lattice in the limit where the hole kinetic energy is much smaller than the Ising exchange. For a {\it single} hole we prove a ``frustrated Nagaoka…

Strongly Correlated Electrons · Physics 2016-08-31 R. Moessner , S. L. Sondhi

For a class of highly frustrated antiferromagnetic quantum spin lattices the ground state exhibits a huge degeneracy in high magnetic fields due to the existence of localized magnon states. For some of these spin lattices (in particular,…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter

The kagome lattice -- a two-dimensional (2D) arrangement of corner-sharing triangles -- is at the forefront of the search for exotic states generated by magnetic frustration. Such states have been observed experimentally for Heisenberg and…

A spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice is studied, employing Monte-Carlo simulation with the single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is…

Statistical Mechanics · Physics 2021-01-13 Soham Chandra

Over the past two decades, the magnetic ground states of all rare earth titanate pyrochlores have been extensively studied, with the exception of Sm$_2$Ti$_2$O$_7$. This is, in large part, due to the very high absorption cross-section of…

By utilizing tensor-network-based methods, we investigate the zero- and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnetic (HAF) model on an infinite Husimi lattice that contains 3/2 sites per triangle. The ground…

Strongly Correlated Electrons · Physics 2014-02-27 Tao Liu , Shi-Ju Ran , Wei Li , Xin Yan , Yang Zhao , Gang Su

In this paper, we investigate the low temperature magnetic properties of the rare-earth garnet compound Nd$_3$Ga$_5$O$_{12}$ in detail by means of magnetization, specific heat and magnetocaloric effect measurements. The magnetic thermal…

Strongly Correlated Electrons · Physics 2023-03-21 N. Zhao , H. Ge , L. Zhou , Z. M. Song , J. Yang , T. T. Li , L. Wang , Y. Fu , Y. F. Zhang , J. B. Xu , S. M. Wang , J. W. Mei , X. Tong , L. S. Wu , J. M. Sheng

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for $J_1 > |J_2|,…

Strongly Correlated Electrons · Physics 2022-11-03 Jeanne Colbois , Bram Vanhecke , Laurens Vanderstraeten , Andrew Smerald , Frank Verstraete , Frédéric Mila

We consider a class of anisotropic spin-$\frac{1}{2}$ models with competing ferro- and antiferromagnetic interactions on two-dimensional Tasaki and kagome lattices consisting of corner sharing triangles. For certain values of the…

Strongly Correlated Electrons · Physics 2021-10-22 D. V. Dmitriev , V. Ya. Krivnov

Rare earth garnets are an exciting playground for studying the exotic magnetic properties of the frustrated hyperkagome lattice. Here we present a comprehensive study of the single ion and collective magnetic properties of the garnet…

Strongly Correlated Electrons · Physics 2019-11-27 Y. Cai , M. N. Wilson , J. Beare , C. Lygouras , G. Thomas , D. R. Yahne , K. Ross , K. M. Taddei , G. Sala , H. A. Dabkowska , A. A. Aczel , G. M. Luke