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The ground state properties of a frustrated spin-1/2 system is studied on a trellis ladder which is composed of two zigzag ladders interacting through rung interactions. The presence of rung interaction between the zigzag ladders induces a…

Strongly Correlated Electrons · Physics 2020-01-08 Debasmita Maiti , Manoranjan Kumar

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

Even as the understanding of the mechanism behind correlated insulating states in magic-angle twisted bilayer graphene converges towards various kinds of spontaneous symmetry breaking, the metallic "normal state" above the insulating…

Strongly Correlated Electrons · Physics 2021-12-24 Peter Cha , Aavishkar A. Patel , Eun-Ah Kim

In this paper we explore the phase diagram and excitations of a distorted triangular lattice antiferromagnet. The unique two-dimensional distortion considered here is very different from the 'isosceles'-type distortion that has been…

Strongly Correlated Electrons · Physics 2016-11-11 S. Toth , B. Lake , K Hradil , T. Guidi , K. C. Rule , M. B. Stone , A. T. M. N. Islam

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

Statistical Mechanics · Physics 2024-07-08 Takumi Oshima , Tomotoshi Nishino

The two-dimensional triangular-lattice antiferromagnet (TLAF) is a textbook example of frustrated magnetic systems. Despite its simplicity, the TLAF model exhibits a highly rich and complex magnetic phase diagram, featuring numerous…

In this review, we outline the important results on the resistivity encountered by an electron in magnetically ordered materials. The mechanism of the collision between the electron and the lattice spins is shown. Experiments on the spin…

Statistical Mechanics · Physics 2023-01-10 Danh-Tai Hoang , Hung T. Diep

Owing to a high degree of geometrical frustration an Ising antiferromagnet on a kagome lattice (IAKL) is known to exhibit no long-range ordering at any temperature, including the ground state. Nevertheless, at low temperatures it shows a…

Statistical Mechanics · Physics 2020-07-08 M. Semjan , M. Žukovič

We show that one-dimensional topological objects (kinks) are natural degrees of freedom for an antiferromagnetic Ising model on a triangular lattice. Its ground states and the coexistence of spin ordering with an extensive zero-temperature…

Statistical Mechanics · Physics 2009-11-07 Maxim Mostovoy , Nikolai Prokof'ev , Daniel Khomskii , Jasper Knoester

Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic…

Strongly Correlated Electrons · Physics 2020-04-03 A. O. Sorokin

We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

We have studied a spin-1/2, ABA, Ising trilayer system with two different types of interactions, in-plane ferromagnetic and out-of-plane anti-ferromagnetic, among the lattice sites, on different layers. In the pure case, devoid of any…

Statistical Mechanics · Physics 2020-05-07 Soham Chandra , Muktish Acharyya

Strong commensurate antiferromagnetism proximate to superconductivity is found in some members of the kappa-(ET) family, while a spin gap (SG) is found in the theta-(ET). Both kappa- and theta-(ET) materials have frustrated triangular…

Strongly Correlated Electrons · Physics 2014-07-28 R. T. Clay , S. Mazumdar

Spin waves in the type-III ordered antiferromagnetic state of the frustrated $t$-$t'$ Hubbard model on the fcc lattice are calculated to investigate finite-$U$-induced competing interaction and frustration effects on magnetic excitations…

Strongly Correlated Electrons · Physics 2017-04-04 Avinash Singh , Shubhajyoti Mohapatra , Timothy Ziman , Tapan Chatterji

We study a bilayer Ising spin system consisting of antiferromagnetic (AF) and ferromagnetic (FM) triangular planes, coupled by ferromagnetic exchange interaction, by standard Monte Carlo and parallel tempering methods. The AF/FM bilayer is…

Statistical Mechanics · Physics 2016-09-01 M. Žukovič , A. Bobák

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be…

Strongly Correlated Electrons · Physics 2018-10-03 Andrew Smerald , Frederic Mila

The triangular lattice compound TlYbS$_2$ was prepared as large single crystals via a molten flux growth technique using sodium chloride. Anisotropic magnetic susceptibility measurements down to 0.4 K indicate a complete absence of…

Materials Science · Physics 2020-03-10 Timothy Ferreira , Jie Xing , Liurukara D. Sanjeewa , Athena S. Sefat

We synthesized a quasi-two-dimensional distorted triangular lattice antiferromagnet Ca$_3$CoNb$_2$O$_9$, in which the effective spin of Co$^{2+}$ is 1/2 at low temperatures, whose magnetic properties were studied by dc susceptibility and…

Strongly Correlated Electrons · Physics 2015-12-25 J. Dai , P. Zhou , P. S. Wang , F. Pang , T J. Munsie , G. M. Luke , J. S. Zhang , Weiqiang Yu
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