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Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

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

In this paper, we performed the comprehensive studies of frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers--Wannier transfer matrix method. The…

Statistical Mechanics · Physics 2025-04-25 F. A. Kassan-Ogly , A. V. Zarubin

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin and geometrical effects using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 P. Potasz , A. D. Guclu , A. Wojs , P. Hawrylak

Frustration, that is, the impossibility of satisfying the energetic preferences between all spin pairs simultaneously, underlies the complexity of many fundamental properties in spin systems, including the computational difficulty in…

Quantum Physics · Physics 2025-04-08 Zheng-Yang Zhou , Clemens Gneiting , J. Q. You , Franco Nori

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han

The Hubbard model with geometrical frustration is investigated in a metallic phase close to half-filling. We calculate the single particle spectral function for the triangular lattice within dynamical cluster approximation, which is further…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

We demonstrate the presence of an optical phase transition with frustration-induced spontaneous symmetry breaking in a triangular planar atomic array due to cooperative light-mediated interactions. We show how the array geometry of triangle…

Quantum Gases · Physics 2022-10-18 C. D. Parmee , K. E. Ballantine , J. Ruostekoski

The energy landscape of a single electron in a triple quantum dot can be tuned such that the energy separation between ground and excited states becomes a flat function of the relevant gate voltages. These so-called sweet spots are…

The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Ke Wang , Xing-Jian Liu , Li-Ming Tu , Jia-Jie Zhang , Vladimir N. Gladilin , Jun-Yi Ge

We discuss decoherence in charge qubits formed by multiple lateral quantum dots in the framework of the spin-boson model and the Born-Markov approximation. We consider the intrinsic decoherence caused by the coupling to bulk phonon modes.…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 Martina Hentschel , Diego C. B. Valente , Eduardo R. Mucciolo , Harold U. Baranger

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

Magnetism plays a key role in modern technology as essential building block of many devices used in daily life. Rich future prospects connected to spintronics, next generation storage devices or superconductivity make it a highly dynamical…

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

By using Density Matrix Renormalization Group (DMRG) technique we study the 1D extended anisotropic Heisenberg model. We find that starting from the ferromagnetic phase, the system undergoes two quantum phase transitions (QPTs) induced by…

Strongly Correlated Electrons · Physics 2018-04-09 E. Plekhanov , A. Avella , F. Mancini

Geometric frustration is a fundamental concept in various areas of physics, and its role in self-assembly processes has recently been recognized as a source of intricate self-limited structures. Here we present an analytic theory of the…

Soft Condensed Matter · Physics 2025-01-30 Nan Cheng , Kai Sun , Xiaoming Mao

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

A new method to characterize the strength of magnetic frustration is proposed by calculating the minimum dimensionality of the absolute ground states of the classical nearest-neighbor antiferromagnetic $n$-vector model with arbitrary $n$.…

Strongly Correlated Electrons · Physics 2023-07-04 N. P. Konstantinidis

We theoretically investigate the effects of the lattice geometry on the nonequilibrium dynamics of photo-excited carriers in a half-filled two-dimensional Hubbard model. Using a nonequilibrium generalization of the dynamical cluster…

Strongly Correlated Electrons · Physics 2021-01-04 Nikolaj Bittner , Denis Golež , Martin Eckstein , Philipp Werner

To get insight into the nature of the electronic fluid in the frustration-driven charge glasses, we investigate in-plane and out-of-plane charge transport for several quasi-triangular-lattice organic systems, $\theta$-(BEDT-TTF)$_2$X…

Strongly Correlated Electrons · Physics 2020-10-07 Takuro Sato , Kazuya Miyagawa , Masafumi Tamura , Kazushi Kanoda