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We use the sixteen vertex model to describe bi-dimensional artificial spin ice (ASI). We find excellent agreement between vertex densities in fifteen differently grown samples and the predictions of the model. Our results demonstrate that…

Statistical Mechanics · Physics 2013-10-01 Demian Levis , Leticia F. Cugliandolo , Laura Foini , Marco Tarzia

Artificial spin ices are frustrated spin systems that can be engineered, wherein fine tuning of geometry and topology has allowed the design and characterization of exotic emergent phenomena at the constituent level. Here we report a…

We introduce a quantum dimer model on the hexagonal lattice that, in addition to the standard three-dimer kinetic and potential terms, includes a competing potential part counting dimer-free hexagons. The zero-temperature phase diagram is…

Strongly Correlated Electrons · Physics 2015-11-24 T. M. Schlittler , T. Barthel , G. Misguich , J. Vidal , R. Mosseri

Topological phases of spin liquids with constrained disorder can host a kinetics of fractionalized excitations. However, spin-liquid phases with distinct kinetic regimes have proven difficult to observe experimentally. Here we present a…

In this paper we conduct Monte Carlo simulations to investigate the thermodynamic properties of a geometry of artificial spin ice recently proposed in the literature that had been termed "rewritable" spin ice, for its experimental…

Mesoscale and Nanoscale Physics · Physics 2019-08-01 R. A. Stancioli , L. A. S. Mól

Inspired by the experimental realization of direct kagome spin ice [Yue et al., Nat. Nanotechnol. 19, 1101 (2024)], the theoretical six-vertex model on the kagome lattice is systematically simulated using the directed loop Monte Carlo…

Statistical Mechanics · Physics 2026-01-12 Wei Zhang , Wanzhou Zhang , Jie Zhang , Chengxiang Ding , Youjin Deng

Artificial spin-ices consist of lithographic arrays of single-domain magnetic nanowires organised into frustrated lattices. These geometries are usually two-dimensional, allowing a direct exploration of physics associated with frustration,…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 M. Saccone , A. Van den Berg , E. Harding , S. Singh , S. R. Giblin , F. Flicker , S. Ladak

Inspired by the stable bilayer water ice grown in the laboratory (Nature 577, 60, 2020), we propose a model representing water ice as a two-layer six-vertex model. Using the loop update Monte Carlo method, we unveil meaningful findings.…

Statistical Mechanics · Physics 2024-05-21 Telun Zhong , Heyang Ma , Peijun Zheng , Jie Zhang , Wanzhou Zhang

Recent excitement in the quantum spin ice community has come from the experimental discovery of pseudospin-$1/2$ breathing pyrochlores, including Ba$_3$Yb$_2$Zn$_5$O$_{11}$, in which inversion symmetry is broken by the `up' and `down'…

Strongly Correlated Electrons · Physics 2024-05-14 Alaric Sanders , Claudio Castelnovo

Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an…

Strongly Correlated Electrons · Physics 2024-01-29 Ritwika Majumder , Onur Erten , Anamitra Mukherjee

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

Artificial spin ices are arrays of coupled nanomagnets, which exhibit a variety of fascinating collective behaviour including emergent magnetic monopoles, charge screening, and novel phase transitions. However, they have mainly been…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Gavin M. Macauley , Luca Berchialla , Peter M. Derlet , Laura J. Heyderman

Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of $\mathbb{Z}_2$…

Quantum Gases · Physics 2025-04-14 Jeet Shah , Gautam Nambiar , Alexey V. Gorshkov , Victor Galitski

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

We construct a family of short-range resonating-valence-bond wave functions on a layered cubic lattice, allowing for a tunable anisotropy in the amplitudes assigned to nearest-neighbour valence bonds along one axis. Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2013-11-04 Jin Xu , K. S. D. Beach

We control quantum fluctuations to create the ground state magnetic phases of a classical Ising model with a tunable longitudinal magnetic field using a system of 6 to 10 atomic ion spins. Due to the long-range Ising interactions, the…

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

Ice states, in which frustrated interactions lead to a macroscopic ground-state degeneracy, occur in water ice, in problems of frustrated charge order on the pyrochlore lattice, and in the family of rare-earth magnets collectively known as…

Strongly Correlated Electrons · Physics 2015-03-19 Nic Shannon , Olga Sikora , Frank Pollmann , Karlo Penc , Peter Fulde

Quantum phase transitional behavior of a finite periodic XX spin-1/2 chain with nearest neighbor interaction in a uniform transverse field is studied based on the simple exact solutions. It is found that there are [N/2] level-crossing…

Quantum Physics · Physics 2007-05-23 Feng Pan , Nan Ma , Xin Guan , J. P. Draayer
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