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The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

Spin liquids are novel states of matter with fractionalized excitations. A recent numerical study of Hubbard model on a honeycomb lattice\cite{Meng2010} indicates that a gapped spin liquid phase exists close to the Mott transition. Using…

Strongly Correlated Electrons · Physics 2011-07-25 Yuan-Ming Lu , Ying Ran

Spin scalar chiral ordering gives rise to nontrivial topological characters and peculiar transport properties. We here examine how quantum spin fluctuations affect the spin scalar chiral ordering in itinerant electron systems. We take the…

Strongly Correlated Electrons · Physics 2015-06-17 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and characterize potential gapped quantum spin liquid phases that…

Strongly Correlated Electrons · Physics 2017-01-25 Pavel Kos , Matthias Punk

We explore the phase diagram of the strongly correlated Hubbard model with intrinsic spin orbit coupling on the honeycomb lattice. We obtain the low energy effective model describing the spin degree of freedom. We study the resulting model…

Strongly Correlated Electrons · Physics 2012-11-20 Abolhassan Vaezi , Mahdi Mashkoori , Mehdi Hosseini

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

Quantum spin liquids are long-range entangled phases whose magnetic correlations are determined by strong quantum fluctuations. While an overarching principle specifying the precise microscopic coupling scenarios for which quantum…

Strongly Correlated Electrons · Physics 2020-01-08 Nils Niggemann , Max Hering , Johannes Reuther

We study the extended Hubbard model on the triangular lattice as a function of filling and interaction strength. The complex interplay of kinetic frustration and strong interactions on the triangular lattice leads to exotic phases where…

Strongly Correlated Electrons · Physics 2014-12-16 Luca F. Tocchio , Claudius Gros , Xue-Feng Zhang , Sebastian Eggert

We study the phase diagram of the frustrated $t{-}t^\prime$ Hubbard model on the square lattice by using a novel variational wave function. Taking the clue from the backflow correlations that have been introduced long-time ago by Feynman…

Strongly Correlated Electrons · Physics 2010-09-23 Federico Becca , Luca F. Tocchio , Sandro Sorella

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric…

Strongly Correlated Electrons · Physics 2013-07-09 Kuang Shing Chen , Zi Yang Meng , Unjong Yu , Shuxiang Yang , Mark Jarrell , Juana Moreno

Quantum spin liquids (QSLs) are long-range entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced…

Strongly Correlated Electrons · Physics 2017-09-20 Ciarán Hickey , Lukasz Cincio , Zlatko Papić , Arun Paramekanti

We study excitations in weakly interacting pairs of quantum spin ladders coupled through geometrically frustrated bonds. The ground state is a disordered spin liquid, that at high fields is replaced by an ordered chiral helimagnetic phase.…

Strongly Correlated Electrons · Physics 2015-05-14 A. Zheludev , V. O. Garlea , A. Tsvelik , L. -P. Regnault , K. Habicht , K. Kiefer , B. Roessli

The frustrated magnet $\alpha$-RuCl$_3$ constitutes a fascinating quantum material platform that harbors the intriguing Kitaev physics. However, a consensus on its intricate spin interactions and field-induced quantum phases has not been…

Strongly Correlated Electrons · Physics 2021-07-16 Han Li , Hao-Kai Zhang , Jiucai Wang , Han-Qing Wu , Yuan Gao , Dai-Wei Qu , Zheng-Xin Liu , Shou-Shu Gong , Wei Li

While the enhancement of the spin-space symmetry from the usual $\mathrm{SU}(2)$ to $\mathrm{SU}(N)$ is promising for finding nontrivial quantum spin liquids, its realization in magnetic materials remains challenging. Here we propose a new…

Strongly Correlated Electrons · Physics 2018-09-12 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

Strongly Correlated Electrons · Physics 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

We present microscopic magnetic properties of a two dimensional triangular lattice Sc2Ga2CuO7, consisting of single and double triangular Cu planes. A Curie-Weiss temperature theta_CW = --44 K and an antiferromagnetic (AFM) exchange…

Strongly Correlated Electrons · Physics 2017-12-06 P. Khuntia , R. Kumar , A. V. Mahajan , M. Baenitz , Y. Furukawa

Mott insulators with both spin and orbital degeneracy are pertinent to a large number of transition metal oxides. The intertwined spin and orbital fluctuations can lead to rather exotic phases such as quantum spin-orbital liquids. Here we…

Quantum Gases · Physics 2015-03-27 Zhenyu Zhou , Erhai Zhao , W. Vincent Liu

Quantum spin liquids have been at the forefront of correlated electron research ever since their original proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders, along with the fractional…

Strongly Correlated Electrons · Physics 2018-04-26 Ioannis Rousochatzakis , Yuriy Sizyuk , Natalia B. Perkins

We investigate the Mott transition in the Kagom\'e lattice Hubbard model using a cluster extension of dynamical mean field theory. The calculation of the double occupancy, the density of states, the static and dynamical spin correlation…

Strongly Correlated Electrons · Physics 2009-11-11 Takuma Ohashi , Norio Kawakami , Hirokazu Tsunetsugu

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel
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