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Unified models incorporating the right handed neutrino in a symmetric way generically possess parity symmetry. If this is broken spontaneously it results in the formation of domain walls in the early Universe, whose persistence is unwanted.…

High Energy Physics - Theory · Physics 2014-02-03 Urjit A. Yajnik , Sasmita Mishra , Debasish Borah

Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter such as water ice, spin ice and frustrated…

Soft Condensed Matter · Physics 2008-12-18 Yilong Han , Yair Shokef , Ahmed M. Alsayed , Peter Yunker , Tom C. Lubensky , Arjun G. Yodh

We consider 2D Heisenberg antiferromagnets on a triangular lattice with spatially anisotropic interactions in a high magnetic field close to the saturation. We show that this system possess rich phase diagram in field/anisotropy plane due…

Strongly Correlated Electrons · Physics 2014-08-25 Oleg A. Starykh , Wen Jin , Andrey V. Chubukov

We consider the effect of geometric frustration induced by the random distribution of loop lengths in the "fat" graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is…

Disordered Systems and Neural Networks · Physics 2008-11-26 Martin Weigel , Des Johnston

We use a combination of analytical and numerical techniques to study the phase diagram of the frustrated Heisenberg model on the bilayer honeycomb lattice. Using the Schwinger boson description of the spin operators followed by a mean field…

Strongly Correlated Electrons · Physics 2014-01-08 Hao Zhang , M. Arlego , C. A. Lamas

Spontaneous symmetry breaking (SSB) is key for our understanding of phase transitions and the spontaneous emergence of order. Photonics provide versatile systems to study SSB. In this work, we report that for a two-dimensional (2D) periodic…

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

Strongly Correlated Electrons · Physics 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

Frustration of long-range order via lattice geometries serves to amplify fluctuations of the order parameter and generate unconventional ground states that are highly sensitive to perturbations. Traditionally, this concept of geometric…

In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part…

A study of spinless matter fermions coupled to a constrained $\mathbb{Z}_{2}$ lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous…

Strongly Correlated Electrons · Physics 2022-06-22 Wolfram Brenig

Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the…

Statistical Mechanics · Physics 2021-10-15 Vanja Marić , Fabio Franchini , Domagoj Kuić , Salvatore Marco Giampaolo

We investigated the isotropic spin-1/2 Heisenberg model on an anisotropic square lattice with competing exchange interactions, motivated by the unconventional magnetic behavior observed in the verdazyl-based compound (o-MePy-V)PF6. Using a…

Strongly Correlated Electrons · Physics 2025-11-21 L. M. Ramos , M. Schmidt , F. M. Zimmer

We present a study of the effects of simultaneous charge- and spin-frustration on the two-dimensional strongly correlated quarter-filled band on an anisotropic triangular lattice. The broken-symmetry states that dominate in the weakly…

Strongly Correlated Electrons · Physics 2014-07-28 S. Dayal , R. T. Clay , H. Li , S. Mazumdar

Phase diagram of an Ising-spin Kondo lattice model on a triangular lattice near 1/3-filling is investigated by Monte Carlo simulation. We identify a partially disordered phase with coexistence of magnetic order and paramagnetic moments,…

Strongly Correlated Electrons · Physics 2012-10-23 Hiroaki Ishizuka , Yukitoshi Motome

Geometric frustration has long been a subject of enduring interest in condensed matter physics. While geometric frustration traditionally focuses on magnetic systems, little attention is paid to the "frustrated superconductivity" which…

Superconductivity · Physics 2025-10-16 Hong-Min Jiang , Wen-Qian Dong , Shun-Li Yu , Z. D. Wang

We report on a spontaneous breakdown of parity in the ground state of a spin Hamiltonian involving nearest-neighbor interactions. This occurs for a one-dimensional model where spins transform under the gauge field representation of QCD, the…

Strongly Correlated Electrons · Physics 2013-01-14 Stephan Rachel , Dirk Schuricht , Burkhard Scharfenberger , Ronny Thomale , Martin Greiter

We analyze the effects of a trimerized modulation in a quantum spin $S=\frac12$ zig-zag ladder at the magnetization plateau $M=1/3$. Such periodicity is argued to be stemmed from lattice deformations by phonons. The interplay between…

Strongly Correlated Electrons · Physics 2007-11-05 H. D. Rosales , D. C. Cabra , M. D. Grynberg , G. L. Rossini , T. Vekua

Two-leg spin-1/2 ladder systems consisting of a ferromagnetic leg and an antiferromagnetic leg are considered where the spins on the legs interact through antiferromagnetic rung couplings $J_1$. These ladders can have two geometrical…

Strongly Correlated Electrons · Physics 2018-03-14 Debasmita Maiti , Dayasindhu Dey , Manoranjan Kumar

The strong coupling phase diagram of the spinless fermions on the anisotropic triangular lattice at half-filling is presented. The geometry of inter-site Coulomb interactions rules the phase diagram. Unconventional charge ordered phases are…

Strongly Correlated Electrons · Physics 2015-06-25 Chisa Hotta , Nobuo Furukawa , Akihiko Nakagawa , Kenn Kubo