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We identify and discuss the ground state of a quantum magnet on a triangular lattice with bond-dependent Ising-type spin couplings, that is, a triangular analog of the Kitaev honeycomb model. The classical ground-state manifold of the model…

Strongly Correlated Electrons · Physics 2015-11-24 George Jackeli , Adolfo Avella

We demonstrate a mapping between the problem of charge ordering in a triangular array of quantum dots and a frustrated Ising spin model. Charge correlation in the low temperature state is characterized by an intrinsic height field order…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov , Boris Kozinsky

Frustrated transition metal compounds in which spin-orbit coupling (SOC) and electron correlation work together have attracted much attention recently. In the case of 5$d$ transition metals, where SOC is large, $j_\text{eff}=1/2$ bands near…

Strongly Correlated Electrons · Physics 2015-10-14 Andrei Catuneanu , Jeffrey G. Rau , Heung-Sik Kim , Hae-Young Kee

We analyze the magnetically ordered phases in the Kondo lattice model on a square lattice around quarter filling using the dynamical mean field theory. We find that close to quarter filling besides the paramagnetic phase, at least three…

Strongly Correlated Electrons · Physics 2017-11-16 Robert Peters , Norio Kawakami

Phase diagram of a spin-ice type Kondo lattice model, potentially relevant to metallic pyrochlore oxides, is obtained by the Monte Carlo simulation implementing the polynomial expansion technique up to the system size with 2048 sites. We…

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

The kagome lattice -- a two-dimensional (2D) arrangement of corner-sharing triangles -- is at the forefront of the search for exotic states generated by magnetic frustration. Such states have been observed experimentally for Heisenberg and…

The study of electronic and magnetic properties of kagome lattice has been an active research area searching for topological phases of matters. In particular, the kagome system with transition metal stannides and etc exhibit interesting…

Strongly Correlated Electrons · Physics 2020-10-21 Hee Seung Kim , Archana Mishra , SungBin Lee

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 consider the potential for novel forms of magnetism arising from the subtle interplay between electrons and spins in the under-screened kagome Kondo lattice model. At weak coupling, we show that incommensurate non-coplanar multi-wave…

Strongly Correlated Electrons · Physics 2015-08-05 Shivam Ghosh , Patrick O' Brien , Christopher L. Henley , Michael J. Lawler

We have explored spin, charge and orbitally ordered states in La1-xSrxMnO3 (0 < x < 1/2) using model Hartree-Fock calculations on d-p-type lattice models. At x=1/8, several charge and orbitally modulated states are found to be stable and…

Strongly Correlated Electrons · Physics 2009-10-31 T. Mizokawa , D. I. Khomskii , G. A. Sawatzky

This paper clarifies the microscopic nature of the staggered scalar order, which is specific to even number of f electrons per site. In such systems, crystalline electric field (CEF) can make a singlet ground state. As exchange interaction…

Strongly Correlated Electrons · Physics 2015-05-20 Yoshio Kuramoto , Shintaro Hoshino , Junya Otsuki

We reveal the significance of kinetic-driven multiple-spin interactions hidden in geometrically-frustrated Kondo lattice models. Carefully examining the perturbation in terms of the spin-charge coupling up to the fourth order, we find that…

Strongly Correlated Electrons · Physics 2015-06-03 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

The magnetic ground state of geometrically frustrated antiferromagnet attracts great research interests due to the possibility to realize novel quantum magnetic state such as a quantum spin liquid. Here we present a comprehensive magnetic…

Strongly Correlated Electrons · Physics 2025-06-09 Feihao Pan , Nan Zhao , Songnan Sun , Chenglin Shang , Peng Cheng , Jieming Sheng , Liusuo Wu

The combined effect of frustration and correlation in electrons is a matter of considerable interest of late. In this context a Falicov-Kimball model on a triangular lattice with two localized states, relevant for certain correlated…

Strongly Correlated Electrons · Physics 2015-05-19 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant…

Strongly Correlated Electrons · Physics 2013-05-03 Hiroaki Ishizuka , Yukitoshi Motome

We report our theoretical results on the emergence of a partially-disordered state at zero temperature and its detailed nature in the periodic Anderson model on a triangular lattice at half filling. The partially-disordered state is…

Strongly Correlated Electrons · Physics 2015-05-28 Satoru Hayami , Masafumi Udagawa , Yukitoshi Motome

Frustrated magnetic interactions in a quasi-two-dimensional [111] slab of pyrochlore lattice were studied. For uniform nearest neighbor (NN) interactions, we show that the complex magnetic problem can be mapped onto a model with two…

Strongly Correlated Electrons · Physics 2012-06-05 K. Iida , S. -H. Lee , S. -W. Cheong

The magnetic ground state and the crystalline electric field level scheme of the triangular lattice antiferromagnet KCeO$_2$ are investigated. Below $T_N =$ 300 mK, KCeO$_2$ develops signatures of magnetic order in specific heat…

The spin-one-half Falicov-Kimball model with spin-dependent on-site interaction between localized ($f$) and itinerant ($d$) electrons is studied by small-cluster exact-diagonalization calculations and a well-controlled approximative method…

Strongly Correlated Electrons · Physics 2008-05-28 Hana Cencarikova , Pavol Farkasovsky , Natalia Tomasovicov , Martin Zonda

We study an effective low-energy Kondo model on the triangular lattice in which itinerant electrons occupy a valence pocket at $\Gamma$ and three conduction pockets at the $M$ points of the Brillouin zone. This construction has a…

Strongly Correlated Electrons · Physics 2026-04-21 Kai Vylet , Xingkai Huang , Leon Balents