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The interplay of electronic interactions and frustration in crystalline systems leads to a panoply of correlated phases, including exotic Mott insulators with non-trivial patterns of entanglement. Disorder introduces additional quantum…

Strongly Correlated Electrons · Physics 2025-01-03 Sunghoon Kim , Mohammad Saad , Dan Mao , Adhip Agarwala , Debanjan Chowdhury

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

The frustrated XY model on the honeycomb lattice has drawn lots of attentions because of the potential emergence of chiral spin liquid (CSL) with the increasing of frustrations or competing interactions. In this work, we study the extended…

Strongly Correlated Electrons · Physics 2021-01-27 Yixuan Huang , Xiao-Yu Dong , D. N. Sheng , C. S. Ting

We investigate effects of pseudo-spin population imbalance on Mott phases in 1D trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density matrix…

Strongly Correlated Electrons · Physics 2009-01-30 M. Machida , M. Okumura , S. Yamada , T. Deguchi , Y. Ohashi , H. Matsumoto

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 analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a…

Strongly Correlated Electrons · Physics 2013-11-15 S. R. Hassan , Sandeep K Goyal , R. Shankar , David Sénéchal

We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin $S=1/2$. We then introduce a systematic generalization of the approach for symmetric $\mathbb{Z}_2$…

Strongly Correlated Electrons · Physics 2016-03-31 Samuel Bieri , Claire Lhuillier , Laura Messio

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping $t$ and the third one has $t^\prime$ in a unit triangle. Working in a spin-rotating frame…

Strongly Correlated Electrons · Physics 2017-01-04 Shimpei Goto , Susumu Kurihara , Daisuke Yamamoto

Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale…

Strongly Correlated Electrons · Physics 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

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

The role of the multiorbital effects on the emergence of frustrated electronic orders on the triangular lattice at half filling is investigated through an extended spinless fermion Hubbard model. By using two complementary approaches,…

Strongly Correlated Electrons · Physics 2015-11-09 C. Février , S. Fratini , A. Ralko

Studying the finite-U Anderson lattice model in the strong hybridization limit, we find a heavy-fermion spin liquid phase, where both conduction and localized fermions are strongly hybridized to form heavy fermions but this heavy-fermion…

Strongly Correlated Electrons · Physics 2007-05-23 Ki-Seok Kim

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

The Kagome-lattice-based material, Volborthite, $\mathrm{Cu_3 V_2 O_7 (OH)_2 \cdot 2 H_2 O}$, has been considered as a promising platform for discovery of unusual quantum ground states due to the frustrated nature of spin interactions. Here…

Strongly Correlated Electrons · Physics 2017-07-19 Li Ern Chern , Kyusung Hwang , Tomonari Mizoguchi , Yejin Huh , Yong Baek Kim

We study spin liquid phases of spin-5/2 alkaline earth atoms on a honeycomb lattice at finite temperatures. Our analysis is based on a Gutzwiller projection variational approach recast to a path-integral formalism. In the framework of a…

Quantum Gases · Physics 2013-10-15 P. Sinkovicz , A. Zamora , E. Szirmai , M. Lewenstein , G. Szirmai

We report the study of phases and transitions of SU(N) Hofstadter-Hubbard model subject to commensurate magnetic field on the triangular lattice. At filling one fermion per site, for the number of fermion flavors 2 <= N <= 8, we identify…

Strongly Correlated Electrons · Physics 2026-02-26 Lu Zhang , Rongning Liu , Xue-Yang Song

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

Recent developments of theoretical studies on spin nanotubes are reviewed, especially focusing on the $S=1/2$ three-leg spin tube. In contrast to the three-leg spin ladder, the tube has a spin gap in case of the regular-triangle unit…

Statistical Mechanics · Physics 2010-10-11 Toru Sakai , Masahiro Sato , Kouichi Okunishi , Kiyomi Okamoto , Chigak Itoi

We report a microscopic mechanism for stabilization of biskyrmions in nature by investigating a minimal classical spin lattice model with nearest neighbour ferromagnetic Heisenberg exchange and static chiral magnetic interaction on the…

Strongly Correlated Electrons · Physics 2024-05-31 Deepak S. Kathyat , Pinaki Sengupta