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Quenched disorder effects on frustrated systems are explored by considering random fluctuations on the antiferromagnetic (AF) interactions between spins on the checkerboard lattice. The replica framework is adopted within a cluster…

Disordered Systems and Neural Networks · Physics 2022-04-13 F. M. Zimmer , W. C. Silva , M. Schmidt , S. G. Magalhaes

Spin waves are collective perturbations in the orientation of the magnetic moments in magnetically ordered materials. Their rich phenomenology is intrinsically three-dimensional; however, the three-dimensional imaging of spin waves has so…

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri , J. V. Alvarez

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche

Geometrically frustrated materials have a ground-state degeneracy that may be lifted by subtle effects, such as higher order interactions causing small energetic preferences for ordered structures. Alternatively, ordering may result from…

Statistical Mechanics · Physics 2011-08-03 Yair Shokef , Anton Souslov , Tom C. Lubensky

We present design techniques of special optical lattices that allow quantum simulation of spin frustration in two-dimensional systems. By carefully overlaying optical lattices with different periods and orientations, we are able to adjust…

Strongly Correlated Electrons · Physics 2015-06-12 Zhi-Xin Chen , Han Ma , Mo-Han Chen , Xiang-Fa Zhou , Lixin He , Guang-Can Guo , Xingxiang Zhou , Yan Chen , Zheng-Wei Zhou

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…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

We present magnetic properties of the three-band Hubbard model in the para- and antiferromagnetic phase on a hypercubic lattice calculated with the Dynamical Mean-Field Theory (DMFT). To allow for solutions with broken spin-symmetry we…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. B. Zoelfl , Th. Pruschke , J. Keller

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

We show that the entangled-plaquette variational ansatz can be adapted to study the two-dimensional $t-J$ model in the presence of two mobile holes. Specifically, we focus on a square lattice comprising up to $N=256$ sites in the parameter…

Strongly Correlated Electrons · Physics 2016-11-23 Fabio Mezzacapo , Adriano Angelone , Guido Pupillo

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

We explore a variational Ansatz for lattice quantum systems -- named long-range entangled-plaquette state -- in which pairs of clusters of adjacent lattice sites are correlated at any distance. The explicit scale-free structure of…

Strongly Correlated Electrons · Physics 2019-11-11 Jérôme Thibaut , Tommaso Roscilde , Fabio Mezzacapo

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

Artificial spin ice systems, namely lattices of interacting single domain ferromagnetic islands, have been used to date as microscopic models of frustration induced by lattice topology, allowing for the direct visualization of spin…

Soft Condensed Matter · Physics 2016-02-03 Antonio Ortiz-Ambriz , Pietro Tierno

The extraordinary properties of the Kitaev model have motivated an intense search for new physics in materials that combine geometrical and bond frustration. In this work, we employ inelastic neutron scattering, spin wave theory, and exact…

We present the electronic band structures of states with the same symmetry as the three-sublattice planar antiferromagnetic order of the triangular lattice. Such states can also be defined on the honeycomb lattice provided the spin density…

Strongly Correlated Electrons · Physics 2018-08-15 Alex Thomson , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

We present a model compound with a spin-1/2 frustrated square lattice, in which three ferromagnetic (F) interactions and one antiferromagnetic (AF) compet. Considering the effective spin-1 formed by the dominant F dimer, this square lattice…

Strongly Correlated Electrons · Physics 2021-08-31 H. Yamaguchi , N. Uemoto , T. Okubo , Y. Kono , S. Kittaka , T. Sakakibara , T. Yajima , S. Shimono , Y. Iwasaki , Y. Hosokoshi

The ground state of an electron gas is characterized by the interparticle spacing to the effective Bohr radius ratio r_s=a/a_B*. For polarized electrons on a two dimensional square lattice with Coulomb repulsion, we study the threshold…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Houman Falakshahi , Zoltán Ádám Németh , Jean-Louis Pichard

We introduce a frustration parameter $\alpha$ into the Vicsek-Kuramoto systems of self-propelled particles. While the system exhibits conventional synchronized states, such as global phase synchronization and swarming, for low frustration…

Adaptation and Self-Organizing Systems · Physics 2025-12-23 Yichen Lu , Yingshan Guo , Yiyi Zhang , Tong Zhu , Zhigang Zheng