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We study low temperature properties of an atomic spinless interacting Fermi gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer. The system is described by a quantum spin 1/2 model on the triangular lattice with…

Other Condensed Matter · Physics 2009-11-10 B. Damski , H. -U. Everts , A. Honecker , H. Fehrmann , L. Santos , M. Lewenstein

Quantum fluctuations enhanced by frustration and subtle interplay between competing degrees of freedom offer an ideal ground to realize novel states with fractional quantum numbers in quantum materials that defy standard theoretical…

In this paper, we propose a novel quantum paramagnetic state in two-dimensional antiferromagnets: the spontaneously trimer state, which is constructed by the trimers of spins. Each trimer is a singlet state formed by three neighboring spins…

Strongly Correlated Electrons · Physics 2011-02-21 Zi Cai , Shu Chen , Yupeng Wang

We investigate properties of exotic pairing states in a three-dimensional Fermi gas with three-dimensional spin-orbit coupling and an effective Zeeman field. The interplay of spin-orbit coupling, effective Zeeman field and pairing can lead…

Quantum Gases · Physics 2013-06-10 Xiang-Fa Zhou , Guang-Can Guo , Wei Zhang , Wei Yi

Two-component dipolar fermions in zigzag optical lattices allow for the engineering of spin-orbital models. We show that dipolar lattice fermions permit the exploration of a regime typically unavailable in solid-state compounds that is…

Strongly Correlated Electrons · Physics 2015-11-26 G. Sun , A. K. Kolezhuk , L. Santos , T. Vekua

We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we…

Strongly Correlated Electrons · Physics 2018-12-05 Yafei Ren , T. -S. Zeng , W. Zhu , D. N. Sheng

Ferrotoroidicity, the fourth form of primary ferroic order, breaks both space and time inversion symmetry. So far, direct observation of ferrotoroidicity in natural materials remains elusive, which impedes the exploration of ferrotoroidic…

The kagome lattice of spin-1/2 copper atoms in herbertsmithite is conjectured to sustain a quantum spin liquid state with spinon quasiparticles. Ideally, the kagome crystal planes are each separated by a plane of spinless zinc atoms.…

Kagome magnets are believed to have numerous exotic physical properties due to the possible interplay between lattice geometry, electron correlation and band topology. Here, we report the large anomalous Hall effect in the kagome…

Materials Science · Physics 2021-06-22 Dong Chen , Congcong Le , Chenguang Fu , Haicheng Lin , Walter Schnelle , Yan Sun , Claudia Felser

Kagome lattice antiferromagnets exhibit plethora of intriguing phases of matter. Particularly interesting state appears at the magnetic field-induced $1/9$ magnetization plateau observed in several recent experimental studies. The nature…

Strongly Correlated Electrons · Physics 2025-12-15 Tanja Đurić , Pinaki Sengupta

Although spin is a fundamental quantum number, measuring spin transport in traditional solid state systems is extremely challenging. This poses a major obstacle to detecting interesting quantum states including certain spin liquids. In this…

Strongly Correlated Electrons · Physics 2020-05-28 Ya-Hui Zhang , Ashvin Vishwanath

Nematicity plays an important role in strongly correlated electron systems. We explore the spin nematicity of a spin-1 kagome lattice antiferromagnet with the bilinear-biquadratic model and single-ion anisotropy using a generalized…

Strongly Correlated Electrons · Physics 2025-07-24 Chun-Jiong Huang , Xu-Ping Yao , Gang v. Chen

The study of the ground state of spinless fermions in 2d disordered clusters (Phys. Rev. Lett. {\bf 83}, 1826 (1999)) has suggested the existence of a new quantum phase for intermediate Coulomb energy to kinetic energy ratios $r_s$. Exact…

Condensed Matter · Physics 2016-08-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

The recent experimental observation of a potential fractional quantum spin Hall (FQSH) state in the twisted MoTe$_2$ system has sparked theoretical explorations at total filling $\nu_T=1$ of a pair of $C=\pm 1$ Chern bands from the two…

Strongly Correlated Electrons · Physics 2024-03-20 Ya-Hui Zhang

Spin-1 antiferromagnets are abundant in nature, but few theories or results exist to understand their general properties and behavior, particularly in situations when geometric frustration is present. Here we study the $S=1$ Kagome compound…

Strongly Correlated Electrons · Physics 2020-04-29 Arpita Paul , Chia-Min Chung , Turan Birol , Hitesh J. Changlani

Spin-$1/2$ kagome antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) ground states. While QSL ground states are predicted for the pure Heisenberg model, understanding the robustness of the QSL to additional…

Strongly Correlated Electrons · Physics 2026-02-16 Shengtao Jiang , Arthur C. Campello , Wei He , Jiajia Wen , Daniel M. Pajerowski , Young S. Lee , Hong-Chen Jiang

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

Nearest-neighbor interacting S = 1/2 spins on the ideal Kagom\'{e} lattice are predicted to form a variety of novel quantum entangled states, including quantum spin-liquid (SL) and valence bond solid (VBS) phases. In real materials, the…

Strongly Correlated Electrons · Physics 2019-10-31 N. J. Laurita , A. Ron , J. W. Han , A. Scheie , J. P. Sheckelton , R. W. Smaha , W. He , J. -J. Wen , J. S. Lee , Y. S. Lee , M. R. Norman , D. Hsieh

We report 17O NMR measurements in the S=1/2 Cu2+ kagome antiferromagnet Herbertsmithite ZnCu3(OH)6Cl2 down to 45mK in magnetic fields ranging from 2T to 12T. While Herbertsmithite displays a gapless spin-liquid behavior in zero field, we…

Strongly Correlated Electrons · Physics 2013-09-09 M. Jeong , F. Bert , P. Mendels , F. Duc , J. C. Trombe , M. A. de Vries , A. Harrison

General conditions in which disordered, spin liquid, and valence-bond ordered phases occur in quantum Ising antiferromagnets are studied using the prototype Kagome lattice spin models. A range of quantum dynamical processes in the Ising…

Strongly Correlated Electrons · Physics 2010-07-16 Predrag Nikolic