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Understanding exotic forms of magnetism in quantum mechanical systems is a central goal of modern condensed matter physics, with implications from high temperature superconductors to spintronic devices. Simulating magnetic materials in the…

We study topology of frustration in $d$-dimensional Ising spin glasses with $d\ge 2$ with nearest-neighbor interactions. We prove the following: For any given spin configuration, the domain walls on the unfrustration network are all…

Mathematical Physics · Physics 2010-04-08 Tohru Koma

Highly frustrated magnets, with their macroscopically-degenerate classical ground states and massively-entangled quantum spin liquid phases, have been pivotal to the development of modern condensed matter concepts such as emergent…

Strongly Correlated Electrons · Physics 2025-08-08 Andrea Pizzi , Claudio Castelnovo , Johannes Knolle

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…

Statistical Mechanics · Physics 2015-05-19 A. Jagannathan , B. Motz , E. Vedmedenko

The superconducting state in a fully frustrated wire network with the dice lattice geometry is investigated in the vicinity of the transition temperature. Using Abrikosov's variational procedure, we write the Ginzburg-Landau free energy…

Superconductivity · Physics 2009-11-10 S. E. Korshunov , B. Doucot

The Ising model, often seen as the paradigmatic spin model, has been heavily studied for its mathematical description of ferromagnetism in statistical mechanics. We explore a quantum version of this model, the transverse field Ising model,…

Statistical Mechanics · Physics 2023-11-09 Abhiraj Jalagekar

Active systems are comprised of constituents with interactions that are generically non-reciprocal in nature. Such non-reciprocity often gives rise to situations where conflicting objectives exist, such as in the case of a predator pursuing…

Disordered Systems and Neural Networks · Physics 2024-02-28 Ryo Hanai

We propose a scheme to investigate the effect of frustration on the magnetic phase transitions of cold atoms confined in an optical lattice. We also demonstrate how to get two-leg spin ladders with frustrated spin-exchange coupling which…

Quantum Gases · Physics 2010-07-20 François Crépin , Roberta Citro , Pascal Simon

We realize a three-dimensional artificial spin ice of disconnected nanomagnets interacting solely via dipolar coupling, patterned on square pyramids. This Pyramid artificial spin ice, with both tilted and in-plane nanomagnets, supports…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Luca Berchialla , Gavin M. Macauley , Flavien Museur , Anja Weber , Laura J. Heyderman

Recovery of ground-state degeneracy in two-dimensional square ice is a significant challenge in the field of geometric frustration with far-reaching fundamental implications, such as realization of vertex models and understanding the effect…

Soft Condensed Matter · Physics 2020-06-15 Erdal C. Oğuz , Antonio Ortiz-Ambriz , Hadas Shem-Tov , Eric Babià-Soler , Pietro Tierno , Yair Shokef

Nonreciprocal interactions often create conflicting dynamical objectives that cannot be simultaneously satisfied, leading to nonreciprocal frustration. On the other hand, geometric frustration arises when conflicting static objectives in…

Quantum Physics · Physics 2025-08-11 Guitao Lyu , Myung-Joong Hwang

We map a geometrically frustrated Ising system with transversal field generated quantum dynamics to a strongly anisotropic lattice of non-crossing elastic strings. The combined effect of frustration, quantum and thermal spin fluctuations is…

Statistical Mechanics · Physics 2007-05-23 Ying Jiang , Thorsten Emig

Artificial spin ices are ensembles of geometrically-arranged, interacting nanomagnets which have shown promising potential for the realization of reconfigurable magnonic crystals. Such systems allow for the manipulation of spin waves on the…

Mesoscale and Nanoscale Physics · Physics 2020-04-21 Ezio Iacocca , Sebastian Gliga , Olle Heinonen

We computationally study the frustrated magnetic configurations of a thin soft magnetic layer with the boundary condition fixed by underlying hard magnets. Driven by geometrical constraints and external magnetic field, transitions between…

Other Condensed Matter · Physics 2007-06-01 Hemachander Subramanian , J. E. Han

Tunable magnetic interactions in high-mobility nonmagnetic semiconductor heterostructures are centrally important to spin-based quantum technologies. Conventionally, this requires incorporation of "magnetic impurities" within the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christoph Siegert , Arindam Ghosh , Michael Pepper , Ian Farrer , David A. Ritchie

Geometric frustration of interacting spin systems is the driving force of a variety of fascinating phenomena in low-dimensional magnetism. In this contribution I will review recent results on frustration-induced effects in magnetic…

Materials Science · Physics 2007-08-09 J. Schnack

A promising route to realize entangled magnetic states combines geometrical frustration with quantum-tunneling effects. Spin-ice materials are canonical examples of frustration, and Ising spins in a transverse magnetic field are the…

In this review, I outline some principal theoretical knowledge on the properties of frustrated systems and thin films. The two points I would like to emphasize: i) the physics in low dimensions where exact solutions can be obtained, ii) the…

Statistical Mechanics · Physics 2019-03-27 H Diep

Artificial spin-ice systems, consisting of arrays of interacting ferromagnetic nanoelements, offer a versatile platform for reconfigurable magnonics with potential in GHz logic and neuromorphic computing. However, weak dipolar coupling…

Mesoscale and Nanoscale Physics · Physics 2024-11-25 Syamlal Sankaran Kunnath , Mateusz Zelent , Mathieu Moalic , Maciej Krawczyk

We consider an alternative to the usual spin glass paradigm for disordered magnetism, consisting of the previously unstudied combination of frustrated magnetic interactions and pseudo-dipolar disorder in spin positions. We argue that this…

Other Condensed Matter · Physics 2011-11-02 S. T. Banks , S. T. Bramwell