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Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

In the context of magnetism, frustration arises when a group of spins cannot find a configuration that minimizes all of their pairwise interactions simultaneously. We consider the effects of the geometric frustration that arises in a…

统计力学 · 物理学 2015-05-19 A. Jagannathan , B. Motz , E. Vedmedenko

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

介观与纳米尺度物理 · 物理学 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

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…

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

强关联电子 · 物理学 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

Frustrated systems, typically characterized by competing interactions that cannot all be simultaneously satisfied, display rich behaviours not found elsewhere in nature. Artificial spin ice takes a materials-by-design approach to studying…

介观与纳米尺度物理 · 物理学 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

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…

强关联电子 · 物理学 2013-10-23 Gia-Wei Chern , Muir J. Morrison , Cristiano Nisoli

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…

介观与纳米尺度物理 · 物理学 2019-07-03 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

The Penrose tiling is a perfectly ordered two dimensional structure with fivefold symmetry and scale invariance under site decimation. Quantum spin models on such a system can be expected to differ significantly from more conventional…

强关联电子 · 物理学 2011-11-10 Anuradha Jagannathan , Attila Szallas , Stefan Wessel , Michel Duneau

Quasicrystals lack translational symmetry, but can still exhibit long-ranged order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group…

强关联电子 · 物理学 2024-04-23 Jonas B. Profe , Carsten Honerkamp , Sebastian Achilles , Dante M. Kennes

Nanomagnetic arrays are widespread in data storage and processing. As current technologies approach fundamental limits on size and thermal stability, extracting additional functionality from arrays is crucial to advancing technological…

介观与纳米尺度物理 · 物理学 2018-05-07 J C Gartside , D M Arroo , D M Burn , V L Bemmer , A Moskalenko , L F Cohen , W R Branford

We discuss the ground state of a disordered two dimensional Heisenberg antiferromagnet. The starting structure is taken to be a perfectly deterministic quasiperiodic tiling, and the type of disorder we consider is geometric, involving…

强关联电子 · 物理学 2008-10-15 Attila Szallas , Anuradha Jagannathan

Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has previously been enabled by altering the nanomagnet size and…

介观与纳米尺度物理 · 物理学 2021-09-15 Susan Kempinger , Yu-Sheng Huang , Paul Lammert , Michael Vogel , Axel Hoffmann , Vincent H. Crespi , Peter Schiffer , Nitin Samarth

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

无序系统与神经网络 · 物理学 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

介观与纳米尺度物理 · 物理学 2014-04-07 Satyendra Prakash Pal , P. Sen

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…

介观与纳米尺度物理 · 物理学 2024-07-09 Gavin M. Macauley , Luca Berchialla , Peter M. Derlet , Laura J. Heyderman

When magnetic moments (spins) are regularly arranged in a geometry of a triangular motif, the spins may not satisfy simultaneously their interactions with their neighbors. This phenomenon, called frustration, leads to numerous energetically…

统计力学 · 物理学 2015-06-17 I. Klich , S. -H. Lee , K. Iida

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

强关联电子 · 物理学 2008-10-15 Anuradha Jagannathan , Attila Szallas

The stable magnetisation configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated…

无序系统与神经网络 · 物理学 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the…

斑图形成与孤子 · 物理学 2020-10-28 A. Andreanov , M. V. Fistul
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