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Frustrated magnets provide a platform for exploring exotic phases beyond conventional ordering, with potential relevance to functional materials and information technologies. In this work, we use Monte Carlo simulations to map the…

Strongly Correlated Electrons · Physics 2025-12-16 Prakash Timsina , Andres Chappa , Deema Alyones , Igor Vasiliev , Ludi Miao

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…

We study the double-exchange model at half-filling with competing superexchange interactions on a triangular lattice, combining exact diagonalization and Monte-Carlo methods. We find that in between the expected itinerant ferromagnetic and…

Strongly Correlated Electrons · Physics 2010-11-22 Sanjeev Kumar , Jeroen van den Brink

Magnetic and electronic states of an Ising-spin Kondo lattice model on a kagome lattice are investigated by a Monte Carlo simulation. In addition to the conventional ferromagnetic and ferrimagnetic orders, we show that this model exhibits…

Strongly Correlated Electrons · Physics 2015-02-18 Hiroaki Ishizuka , Yukitoshi Motome

Pyrochlore lattices, which are found in two important classes of materials -- the $A_2B_2X_7$ pyrochlore family and the $AB_2X_4$ spinel family -- are the quintessential 3-dimensional frustrated lattice architecture. While historically…

Strongly Correlated Electrons · Physics 2021-05-05 Dalmau Reig-i-Plessis , Alannah M. Hallas

We study the low-energy properties of the geometrically frustrated Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice on the basis of the renormalization group method and mean field analysis.…

Strongly Correlated Electrons · Physics 2009-11-07 Satoshi Fujimoto

We study a spin-ice Kondo lattice model on a breathing pyrochlore lattice with classical localized spins. The highly efficient kernel polynomial expansion method, together with a classical Monte Carlo method, is employed in order to study…

Strongly Correlated Electrons · Physics 2020-10-28 Munir Shahzad , Kipton Barros , Stephanie H. Curnoe

We study noncoplanar magnetic ordering in frustrated itinerant magnets. For a family of Kondo square lattice models with classical local moments, we find that a double-$Q$ noncoplanar vortex crystal has lower energy than the single-$Q$…

Strongly Correlated Electrons · Physics 2016-09-26 Ryo Ozawa , Satoru Hayami , Kipton Barros , Gia-Wei Chern , Yukitoshi Motome , Cristian D. Batista

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

Strongly Correlated Electrons · Physics 2015-12-08 Owen Benton , Nic Shannon

The glassy behavior observed in the pyrochlore magnet Y2Mo2O7, where the magnetic Mo^{4+} ions interact predominantly via isotropic nearest neighbor antiferromagnetic exchange, possibly with additional weak disorder, is a distinct class of…

Statistical Mechanics · Physics 2010-09-08 Ka-Ming Tam , Adam J. Hitchcock , Michel J. P. Gingras

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We study the transport properties of frustrated itinerant magnets comprising localized {\it classical} moments, which interact via exchange with the conduction electrons. Strong frustration stabilizes a liquidlike spin state, which extends…

Strongly Correlated Electrons · Physics 2016-11-11 Zhentao Wang , Kipton Barros , Gia-Wei Chern , Dmitrii L. Maslov , Cristian D. Batista

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

We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

Numerical investigation on the thermodynamic properties of an Ising spin Kondo lattice model on a kagome lattice is reported. By using Monte Carlo simulation, we investigated the magnetic phases at 1/3-filling. We identified two successive…

Strongly Correlated Electrons · Physics 2013-08-28 Hiroaki Ishizuka , Yukitoshi Motome

Magnetic frustration, which is well-defined in insulating systems with localized magnetic moments, yields exotic ground states like spin ices, spin glasses, or spin liquids. In metals magnetic frustration is less well defined because of the…

The collective behavior of interacting magnetic moments can be strongly influenced by the topology of the underlying lattice. In geometrically frustrated spin systems, interesting chiral correlations may develop that are related to the spin…

Strongly Correlated Electrons · Physics 2007-05-23 D. Grohol , K. Matan , J. H. Cho , S. -H. Lee , J. W. Lynn , D. G. Nocera , Y. S. Lee

Three-dimensionally (3D) frustrated magnets generally exist in the magnetic diamond and pyrochlore lattices, in which quantum fluctuations suppress magnetic orders and generate highly entangled ground states (GS). LiYbSe2 in a previously…

Strongly Correlated Electrons · Physics 2022-06-15 Ranuri S. Dissanayaka Mudiyanselage , Haozhe Wang , Olivia Vilella , Martin Mourigal , Gabriel Kotliar , Weiwei Xie

We investigate a (semi-)metal to insulator transition (MIT) realized in geometrically frustrated electron systems on the basis of the Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice. Using…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto
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