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We demonstrate the existence of orbital Coulomb phase as the exact ground state of p-orbital exchange Hamiltonian on the diamond lattice. The Coulomb phase is an emergent state characterized by algebraic dipolar correlations and a gauge…

Strongly Correlated Electrons · Physics 2012-05-21 Gia-Wei Chern , Congjun Wu

We study the low-temperature behaviour of spin ice when uniaxial pressure induces a tetragonal distortion. There is a phase transition between a Coulomb liquid and a fully magnetised phase. Unusually, it combines features of discontinuous…

Statistical Mechanics · Physics 2010-09-07 Ludovic D. C. Jaubert , J. T. Chalker , Peter C. W. Holdsworth , R. Moessner

Actively shought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at extremely low temperatures. Despite ongoing searches, QSLs remain…

Strongly Correlated Electrons · Physics 2015-07-22 Juan Carrasquilla , Zhihao Hao , Roger G. Melko

The realization and study of arrays of interacting magnetic nanoislands, such as artificial spin ices, have reached mature levels of control that allow design and demonstration of exotic, collective behaviors not seen in natural materials.…

Disordered Systems and Neural Networks · Physics 2021-11-18 Francesco Caravelli , Cristiano Nisoli

Magnetic monopoles, long hypothesised as fundamental particles carrying isolated magnetic charge, emerge in spin-ice systems as fractionalised excitations governed by the ice rule. Yet their three-dimensional field structure has never been…

Mesoscale and Nanoscale Physics · Physics 2025-11-10 Arjen van den Berg , Peter Rickhaus , Frank Barrows , Cristiano Nisoli , Sam Ladak

Achieving thermal equilibrium in two-dimensional lattices of interacting nanomagnets has been a key issue on the route to study exotic phases in artificial frustrated magnets. We revisit this issue in artificial one-dimensional kagom\'e…

Disordered Systems and Neural Networks · Physics 2023-10-19 L. Salmon , V. Schánilec , J. Coraux , B. Canals , N. Rougemaille

Artificial ice systems have been designed to replicate paradigmatic phenomena observed in frustrated spin systems. Here we present a detailed theoretical analysis based on Monte-Carlo simulations of the low energy phases in an artificial…

Statistical Mechanics · Physics 2019-04-17 Anne Le Cunuder , Irénée Frérot , Antonio Ortiz-Ambriz , Pietro Tierno

Recent experiments on the "hyper-kagome" lattice system Na$_4$Ir$_3$O$_8$ have demonstrated that it is a rare example of a three dimensional spin-1/2 frustrated antiferromagnet. We investigate the role of quantum fluctuations as the primary…

Strongly Correlated Electrons · Physics 2009-11-13 Michael J. Lawler , Hae-Young Kee , Yong Baek Kim , Ashvin Vishwanath

Artificial spin ices are ideal frustrated model systems in which to explore or design emergent phenomena with unprecedented characterization of the constituent degrees of freedom. In square spin ice, violations of the ice rule are…

Soft Condensed Matter · Physics 2020-09-21 A. Libal , A. del Campo , C. Nisoli , C. Reichhardt , C. J. O. Reichhardt

We analyze the rotational demagnetization of artificial spin ice, a recently realized array of nanoscale single-domain ferromagnetic islands. Demagnetization does not anneal this model system into its anti-ferromagnetic ground state: the…

A doped semiconductor double-quantum-dot molecule is proposed as a qubit realization. The quantum information is encoded in the electron spin, thus benefiting from the long relevant decoherence times; the enhanced flexibility of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Troiani , U. Hohenester , E. Molinari

Spin glasses, generally defined as disordered systems with randomized competing interactions, are a widely investigated complex system. Theoretical models describing spin glasses are broadly used in other complex systems, such as those…

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

A new model of localized highly frustrated ferromagnetism is presented: kagome spin ice. By use of analytical and Monte Carlo calculations its massive groundstate entropy is evaluated. Monte Carlo calculations are also used to explore the…

Materials Science · Physics 2007-05-23 A. S. Wills , R. Ballou , C. Lacroix

We study quantum spin ice in an external magnetic field applied along a $<100>$ direction. When quantum spin fluctuations are weak, elementary excitations are quantum strings with monopoles at their ends manifested as multiple spin-wave…

Strongly Correlated Electrons · Physics 2012-06-18 Yuan Wan , Oleg Tchernyshyov

Quantum magnetic properties in a geometrically frustrated lattice of spin-1/2 magnet, such as quantum spin liquid or solid and the associated spin fractionalization, are considered key in developing a new phase of matter. The feasibility of…

Strongly Correlated Electrons · Physics 2018-03-21 J. Gunasekera , A. Dahal , Y. Chen , J. Rodriguez , L. Harriger , S. Thomas , T. Heitmann , V. Dugaev , A. Ernst , D. K. Singh

In 1935, Pauling estimated the residual entropy of water ice with remarkable accuracy by considering the degeneracy of the ice rule {\it solely at the vertex level}. Indeed, his estimate works well for both the three-dimensional pyrochlore…

Statistical Mechanics · Physics 2015-06-11 Muir J. Morrison , Tammie R. Nelson , Cristiano Nisoli

The interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum…

Strongly Correlated Electrons · Physics 2025-01-03 Sunghoon Kim , Mohammad Saad , Dan Mao , Adhip Agarwala , Debanjan Chowdhury

We consider possible exotic ground states of quantum spin ice as realized in rare earth pyrochlores. Prior work in Phys. Rev. Lett. 108, 037202 introduced a gauge mean field theory (gMFT) to treat spin or pseudospin Hamiltonians for such…

Strongly Correlated Electrons · Physics 2015-06-04 SungBin Lee , Shigeki Onoda , Leon Balents

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