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The concepts of deconfinement and topological order are of great current interest for quantum information science and for our understanding of quantum materials. Here, we introduce a simple model of three antiferromagnetically coupled Kondo…

Strongly Correlated Electrons · Physics 2021-09-08 Elio J. König , Piers Coleman , Yashar Komijani

We investigate the quantum phase transitions in two capacitively coupled chains of ultra-small Josephson-junctions, with emphasis on the external charge effects. The particle-hole symmetry of the system is broken by the gate voltage applied…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mahn-Soo Choi , M. Y. Choi , Taeseung Choi , Sung-Ik Lee

The concept of geometrical frustration has led to rich insights into condensed matter physics, especially as a mechansim to produce exotic low energy states of matter. Here we show that frustration provides a natural vehicle to generate…

Statistical Mechanics · Physics 2020-12-17 Paul A. McClarty , Masudul Haque , Arnab Sen , Johannes Richter

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

Tunneling between two-dimensional electron layers with mutually correlated disorder potentials is studied theoretically. Due to this correlation, the diffusive eigenstates in different layers are almost orthogonal to each other. As a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. A. Zyuzin , E. G. Mishchenko , M. E. Raikh

The coupling of Josephson oscillations in layered superconductors is studied with help of a tunneling Hamiltonian formalism. The general form of the current density across the barriers between the superconducting layers is derived. The…

Superconductivity · Physics 2015-06-25 Ch. Preis , Ch. Helm , J. Keller , A. Sergeev , R. Kleiner

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

Dimensionality is a critical factor in determining the properties of solids and is an apparent built-in character of the crystal structure. However, it can be an emergent and tunable property in geometrically frustrated spin systems. Here,…

Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

Packing frustration for confined fluids, i.e., the incompatibility between the preferred packing of the fluid particles and the packing constraints imposed by the confining surfaces, is studied for a dense hard-sphere fluid confined between…

Soft Condensed Matter · Physics 2014-09-05 Kim Nygård , Sten Sarman , Roland Kjellander

Especially in one dimension, models with discrete and continuous symmetries display different physical properties, starting from the existence of long-range order. In this work, we that, by adding topological frustration, an…

Strongly Correlated Electrons · Physics 2022-09-29 Alberto Giuseppe Catalano , Daria Brtan , Fabio Franchini , Salvatore Marco Giampaolo

We use a semiclassical large-$S$ expansion to study a plateau at $1/3$ saturation in the magnetization curve of a frustrated ferrimagnet on a spatially anisotropic kagom\'{e} lattice. The spins have both ferromagnetic and antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-03-17 Edward Parker , Leon Balents

Geometrical frustration in correlated systems can give rise to a plethora of novel ordered states and intriguing phases. Here, we analyze theoretically vertex-sharing frustrated Kagome lattice of Josephson junctions and identify various…

Quantum Physics · Physics 2023-11-13 Oliver Neyenhuys , Mikhail V. Fistul , Ilya M. Eremin

We consider a ring of three quantum dots mutually coupled by antiferromagnetic exchange interactions, and tunnel-coupled to two metallic leads: the simplest device in which the consequences of local frustration arising from internal degrees…

Strongly Correlated Electrons · Physics 2010-03-10 Andrew K. Mitchell , David E. Logan

We study the geometrical frustration scenario of glass formation for simple hard sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing…

Disordered Systems and Neural Networks · Physics 2015-03-19 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

Strongly Correlated Electrons · Physics 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

We study frustrated quantum systems from a quantum information perspective. Within this approach, we find that highly frustrated systems do not follow any general ''area law'' of block entanglement, while weakly frustrated ones have area…

Quantum Physics · Physics 2008-10-30 Aditi Sen De , Ujjwal Sen , Jacek Dziarmaga , Anna Sanpera , Maciej Lewenstein

The interplay of Coulomb repulsion and geometrical frustration on charge-driven quantum phase transitions is explored. The ground state phase diagram of an extended Hubbard model on an anisotropic triangular lattice relevant to…

Strongly Correlated Electrons · Physics 2011-10-27 L. Cano-Cortes , A. Ralko , C. Fevrier , J. Merino , S. Fratini

Two-dimensional arrays of ballistic Josephson junctions are important as model systems for synthetic quantum materials. Here, we investigate arrays of multiterminal junctions which exhibit a phase difference $\varphi_0$ at zero current.…