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Related papers: Unhappy Vertices in Artificial Spin Ice: Degenerac…

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Although initially introduced to mimic the spin-ice pyrochlores, no artificial spin ice has yet exhibited the expected degenerate ice-phase with critical correlations similar to the celebrated Coulomb phase in the pyrochlore lattice. Here…

Strongly Correlated Electrons · Physics 2013-10-23 Gia-Wei Chern , Muir J. Morrison , Cristiano Nisoli

Since the problem of the residual entropy of square ice was exactly solved, exact solutions for two-dimensional realistic ice models have been of interest. In this paper, we study the exact residual entropy of ice hexagonal monolayer in two…

Statistical Mechanics · Physics 2023-05-22 De-Zhang Li , Wei-Jie Huang , Yao Yao , Xiao-Bao Yang

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

Geometric frustration emerges when local interaction energies in an ordered lattice structure cannot be simultaneously minimized, resulting in a large number of degenerate states. The numerous degenerate configurations may lead to practical…

The third law of thermodynamics dictates that the entropy of a system in thermal equilibrium goes to zero as its temperature approaches absolute zero. In ice, however, a "zero point" or residual entropy can be measured - attributable to a…

Strongly Correlated Electrons · Physics 2015-06-25 G. C. Lau , R. S. Freitas , B. G. Ueland , B. D. Muegge , E. L. Duncan , P. Schiffer , R. J. Cava

Artificial spin ices have transcended their origins in frustrated rare-earth pyrochlores to become a versatile platform for engineering exotic states of matter. Across diverse implementations, from nanomagnets and superconducting vortices…

Soft Condensed Matter · Physics 2026-04-01 Renaud Baillou , Matthew Terkel , Cristiano Nisoli , Pietro Tierno

Increasingly large datasets of microscopic images with atomic resolution facilitate the development of machine learning methods to identify and analyze subtle physical phenomena embedded within the images. In this work, microscopic images…

Disordered Systems and Neural Networks · Physics 2025-07-24 Arnab Neogi , Suryakant Mishra , Prasad P Iyer , Tzu-Ming Lu , Ezra Bussmann , Sergei Tretiak , Andrew Crandall Jones , Jian-Xin Zhu

We investigate numerically the micromagnetic properties and the low-energy physics of an artificial square spin system in which the nanomagnets are physically connected at the lattice vertices. Micromagnetic simulations reveal that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

Artificial spin ice systems have been introduced as a possible mean to investigate frustration effects in a well-controlled manner by fabricating lithographically-patterned two-dimensional arrangements of interacting magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

We study a frustrated two-dimensional array of dipoles forming an artificial rectangular spin ice with horizontal and vertical lattice parameters given by $a$ and $b$ respectively. We show that the ice regime could be stabilized by…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 F. S. Nascimento , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

In many frustrated Ising models, a single-spin flip dynamics is frozen out at low temperatures compared to the dominant interaction energy scale because of the discrete "multiple valley" structure of degenerate ground-state manifold. This…

Statistical Mechanics · Physics 2010-10-20 Hiroshi Shinaoka , Yukitoshi Motome

It has long been known that disorder, perturbing the energy landscape of magnetic systems, can introduce glassy dynamics. However, the controlled role of increasing disorder in driving glass formation remains difficult to isolate in…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Davis Crater , Ryan Mueller , Sanjib Thapa , Kevin Hofhuis , Armin Kleibert , Francesco Caravelli , Alan Farhan

We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units. Each star is built from edge-sharing triangles with an…

Strongly Correlated Electrons · Physics 2026-02-10 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

Long-range ordering is typically associated with a decrease in entropy. Yet, it can also be driven by increasing entropy in certain special cases. We demonstrate that artificial spin ice arrays of single-domain nanomagnets can be designed…

Artificial magnetic honeycomb lattices are expected to exhibit a broad and tunable range of novel magnetic phenomena that would be difficult to achieve in natural materials, such as long-range spin ice, entropy-driven magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , L. Debeer-Schmitt , A. Dahal , A. Glavic , P. Kampschroeder , J. Gunasekera , D. K. Singh

In classical and quantum frustrated magnets the interactions in combination with the lattice structure impede the spins to order in optimal configurations at zero temperature. The theoretical interest in their classical realisations has…

Statistical Mechanics · Physics 2017-02-01 Leticia F. Cugliandolo

Artificial spin ice provides a versatile setting for emergent gauge fields and magnetic monopole excitations. Here we propose a driven-dissipative polariton realization of artificial spin ice, in which the circular polarization of each link…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Junhui Cao , Alexey Kavokin

Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

Strongly Correlated Electrons · Physics 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

Arrays of interacting magnetic nanostructures were introduced recently as a powerful approach to investigate experimentally the exotic many-body physics of frustrated spin models. Following a similar strategy based on…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 V. Schanilec , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

Here an artificial spin ice (ASI) lattice is introduced that exhibits unique Ising and non-Ising behavior under specific field switching protocols because of the inclusion of coupled nanomagnets into the unit cell. In the Ising regime, a…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 R. Puttock , A. Manzin , V. Neu , F. Garcia Sanchez , A. Fernandez Scarioni , H. W. Schumacher , O. Kazakova
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