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Geometric frustration in quantum spin systems can lead to exotic ground states. In this study, we investigate the $\mathrm{SU}(3)$ spin model on the checkerboard lattice to explore the effects of frustration arising from its point-connected…

Strongly Correlated Electrons · Physics 2025-03-05 Junhao Zhang , Jie Hou , Jie Lou , Yan Chen

We experimentally investigate the charge (isospin) frustration induced by a geometrical symmetry in a triangular triple quantum dot. We observe the ground-state charge configurations of six-fold degeneracy, the manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2014-02-27 M. Seo , H. K. Choi , S. -Y. Lee , N. Kim , Y. Chung , H. -S. Sim , V. Umansky , D. Mahalu

We study the scaling behavior of the R\'enyi entanglement entropy with smooth boundaries at the phase transition point of the two-dimensional $J-Q_3$ model. Using the recently developed scaling formula [Deng {\it et al.}, Phys. Rev. B…

Strongly Correlated Electrons · Physics 2024-09-19 Zehui Deng , Lu Liu , Wenan Guo , Hai-qing Lin

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

The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely the signature of a spin-glass phase, as previously seen for the Ising (q=2) model. However, the ground-state entropy…

Statistical Mechanics · Physics 2021-06-08 Alpar Turkoglu , A. Nihat Berker

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…

We explore the magnetic phases in a Kondo lattice model on the geometrically frustrated Shastry-Sutherland lattice at metallic electron densities, searching for noncollinear and noncoplanar spin textures. Motivated by experimental…

Strongly Correlated Electrons · Physics 2017-12-05 Munir Shahzad , Pinaki Sengupta

Recent experiments [J. Guo et al., Phys. Rev. Lett.124,206602 (2020)] on thermodynamic properties of the frustrated layered quantum magnet SrCu$_2$(BO$_3$)$_2$ -- the Shastry-Sutherland material -- have provided strong evidence for a…

Strongly Correlated Electrons · Physics 2021-06-18 Guangyu Sun , Nvsen Ma , Bowen Zhao , Anders W. Sandvik , Zi Yang Meng

Geometric frustration appears in a broad range of systems, generally emerging as disordered ground configurations, thereby impeding understanding of the phenomenon's underlying mechanics. We report on a continuum system featuring locally…

Applied Physics · Physics 2021-06-04 Janav P. Udani , Andres F. Arrieta

Theoretical studies of quantum phase transitions have suggested critical points with higher symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising emergent symmetry of the coexistence state at a strongly…

Strongly Correlated Electrons · Physics 2019-07-03 Bowen Zhao , Phillip Weinberg , Anders W. Sandvik

The effect of geometrical frustration in a two-dimensional 1/4-filled strongly correlated electron system is studied theoretically, motivated by layered organic molecular crystals. An extended Hubbard model on the square lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 Jaime Merino , Hitoshi Seo , Masao Ogata

Topological frustration (or topological mechanics) is the existence of classical zero modes that are robust to many but not all distortions of the Hamiltonian. It arises naturally from locality in systems whose interactions form a set of…

Strongly Correlated Electrons · Physics 2022-07-21 Po-Wei Lo , Michael J. Lawler

We investigate the effect of geometrical frustration on the competition between the Kondo coupling and the Ruderman-Kittel-Kasuya-Yosida interaction in Kondo lattice systems. By variational Monte Carlo simulations, we reveal an emergent…

Strongly Correlated Electrons · Physics 2015-05-19 Yukitoshi Motome , Kyoya Nakamikawa , Youhei Yamaji , Masafumi Udagawa

Geometric frustration results from a discrepancy between the locally favored arrangement of the constituents of a system and the geometry of the embedding space. Geometric frustration can be either non-cumulative, which implies an extensive…

Soft Condensed Matter · Physics 2022-02-10 Snir Meiri , Efi Efrati

Exploring the influence of frustration on the phases and related phase transitions in condensed matter physics is of fundamental importance in uncovering the role played by frustration. In the two-dimensional square lattice, a minimal…

Strongly Correlated Electrons · Physics 2024-04-26 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

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

The superconducting state typically favors a uniform spatial distribution akin to ferromagnetism. Nevertheless, the pair-density-wave state exhibits sign changes in the pairing order, leading to potential frustrations in phase coherence.We…

Superconductivity · Physics 2024-12-31 Zhiming Pan , Chen Lu , Fan Yang , Congjun Wu

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

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…

Pattern Formation and Solitons · Physics 2020-10-28 A. Andreanov , M. V. Fistul

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

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