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We investigate a frustrated Ising spin system on the garnet lattice composed of a specific network of corner-sharing triangles. By means of Monte Carlo simulations with the heat bath algorithm, we discuss the magnetic properties at finite…

Statistical Mechanics · Physics 2009-11-10 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

Frustrated magnets provide a platform for exploring exotic phases beyond conventional ordering, with potential relevance to functional materials and information technologies. In this work, we use Monte Carlo simulations to map the…

Strongly Correlated Electrons · Physics 2025-12-16 Prakash Timsina , Andres Chappa , Deema Alyones , Igor Vasiliev , Ludi Miao

The interplay between competing degrees of freedom can stabilize non-trivial magnetic states in correlated electron materials. Frustration-induced strong quantum fluctuations can evade long-range magnetic ordering leading to exotic quantum…

Strongly Correlated Electrons · Physics 2023-10-12 B. Sana , M. Barik , M. Pregelj , U. Jena , M. Baenitz , J. Sichelschmidt , K. Sethupathi , P. Khuntia

We report the specific heat and entropy of single crystals of the spin ice compound Dy2Ti2O7 at temperatures down to 0.35 K. We apply magnetic fields along the four characteristic directions: [100], [110], [111] and [112]. Because of Ising…

Strongly Correlated Electrons · Physics 2009-11-10 Ryuji Higashinaka , Hideto Fukazawa , Yoshiteru Maeno

We investigate the frustrated $J_1$-$J_2$ Ising model with nearest-neighbor interaction $J_1$ and next-nearest-neighbor interaction $J_2$ in two kinds of generalized triangular lattices (GTLs) employing the Wang--Landau Monte Carlo method…

Statistical Mechanics · Physics 2024-06-28 Hoseung Jang , Unjong Yu

We study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice…

Statistical Mechanics · Physics 2008-04-28 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

Geometric frustration among competing spin exchanges can give rise to novel quantum phases by enhancing fluctuations that drive magnetic systems beyond the classical regime. We investigate the frustrated array of strongly correlated spin…

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

There is a new class of two-dimensional magnetic materials polymeric iron (III) acetate fabricated recently in which Fe ions form a star lattice. We study the thermodynamics of Ising spins on the star lattice with exact analytic method and…

Strongly Correlated Electrons · Physics 2012-10-08 Zewei Chen , Nvsen Ma , Dao-Xin Yao

Geometrically frustrated materials have a ground-state degeneracy that may be lifted by subtle effects, such as higher order interactions causing small energetic preferences for ordered structures. Alternatively, ordering may result from…

Statistical Mechanics · Physics 2011-08-03 Yair Shokef , Anton Souslov , Tom C. Lubensky

Magnetic frustration in metallic rare earth lanthanides ($Ln$) with $4f$-electrons is crucial for producing interesting magnetic phases with high magnetic anisotropy where intertwined charge and spin degrees of freedom lead to novel…

Strongly Correlated Electrons · Physics 2022-10-05 Ian A. Leahy , Keke Feng , Roei Dey , Ryan Baumbach , Minhyea Lee

We report thermodynamic and neutron scattering measurements of the triangular-lattice quantum Ising magnet TmMgGaO 4 in longitudinal magnetic fields. Our experiments reveal a quasi-plateau state induced by quantum fluctuations. This state…

We study multilayer triangular lattice Ising antiferromagnets with interlayer interactions that are weak and frustrated in an abc stacking. By analysing a coupled height model description of these systems, we show that they exhibit a…

Statistical Mechanics · Physics 2016-01-05 F. J. Burnell , J. T. Chalker

Ground-state and magnetocaloric properties of a double-tetrahedral chain, in which nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular clusters half filled with mobile electrons, are exactly…

Statistical Mechanics · Physics 2016-10-12 Lucia Galisova , Dorota Jakubczyk

We study a classical fully-frustrated honeycomb lattice Ising model using Markov chain Monte Carlo methods and exact calculations . The Hamiltonian realizes a degenerate ground state manifold of equal-energy states, where each hexagonal…

Statistical Mechanics · Physics 2009-06-02 Shawn Andrews , Hans De Sterck , Stephen Inglis , Roger G. Melko

We study the spin 1/2 triangular-lattice $J_1$-$J_2$-$J_3$ antiferromagnet close to the saturation field using the dilute Bose gas theory, where the magnetic structure is determined by the condensation of magnons. We focus on the case of…

Strongly Correlated Electrons · Physics 2014-05-12 Giacomo Marmorini , Tsutomu Momoi

Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising models in terms of infinite tensor networks %, i.e. tensor…

Statistical Mechanics · Physics 2021-01-20 Bram Vanhecke , Jeanne Colbois , Laurens Vanderstraeten , Frank Verstraete , Frédéric Mila

The low temperature magnetic properties of pyrochlore compound Dy2Ti2O7 in magnetic fields applied along the [111] direction are reported. Below 1 K, a clear plateau has been observed in the magnetization process in the field range 2~9 kOe,…

Materials Science · Physics 2009-11-07 Kazuyuki Matsuhira , Zenji Hiroi , Takashi Tayama , Seishi Takagi , Toshiro Sakakibara

We propose quenched disorders could bring novel quantum excitations and models to certain quantum magnets. Motivated by the recent experiments on the quantum Ising magnet TmMgGaO$_4$, we explore the effects of the quenched disorder and the…

Strongly Correlated Electrons · Physics 2023-05-23 Chun-Jiong Huang , Xiaoqun Wang , Ziqiang Wang , Gang Chen

High degeneracy in ground states leads to the generation of exotic zero-energy modes, a representative example of which is the formation of molecular spin liquid-like fluctuations in a frustrated magnet. Here we present single-crystal…

Strongly Correlated Electrons · Physics 2014-07-17 K. Tomiyasu , T. Yokobori , Y. Kousaka , R. I. Bewley , T. Guidi , T. Watanabe , J. Akimitsu , K. Yamada