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We consider orbital magnetic field effects in a spin liquid phase of a half-filled triangular lattice Hubbard system close to the Mott transition, continuing an earlier exploration of a state with spinon Fermi surface. Starting from the…

强关联电子 · 物理学 2009-11-11 Olexei I. Motrunich

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

强关联电子 · 物理学 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct…

强关联电子 · 物理学 2025-06-05 Anjishnu Bose , Kathleen Hart , Ruairidh Sutcliffe , Arun Paramekanti

At strong repulsion, the triangular-lattice Hubbard model is described by $s=1/2$ spins with nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120$^\circ$ order. Using the infinite density matrix…

强关联电子 · 物理学 2021-09-07 Tessa Cookmeyer , Johannes Motruk , Joel E. Moore

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

强关联电子 · 物理学 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

强关联电子 · 物理学 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

强关联电子 · 物理学 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

Inspired by the recent progress on the Dirac spin liquid and the kagom\'{e} lattice antiferromagnets, we revisit the U(1) Dirac spin liquid on the kagom\'{e} lattice and consider the response of this quantum state to the weak magnetic field…

强关联电子 · 物理学 2025-12-18 Si-Yu Pan , Jiahao Yang , Gang v. Chen

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

强关联电子 · 物理学 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

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…

强关联电子 · 物理学 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

强关联电子 · 物理学 2008-04-15 Peyman Sahebsara , David Sénéchal

We study Gutzwiller-projected wavefunctions for triangular-lattice U(1) Dirac spin liquids in a Zeeman field, where we allow the U(1) gauge field to develop a gauge flux, resulting in (spin-split) spinon Landau levels. We find that at a…

强关联电子 · 物理学 2026-01-22 Wen O. Wang , Urban F. P. Seifert , Oleg A. Starykh , Leon Balents

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

强关联电子 · 物理学 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

强关联电子 · 物理学 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

强关联电子 · 物理学 2009-11-10 Olexei I. Motrunich

We show how a gapless spin liquid with hidden octupolar order arises in an applied magnetic field, in a model applicable to thin films of 3He with competing ferromagnetic and antiferromagnetic (cyclic) exchange interactions. Evidence is…

强关联电子 · 物理学 2007-05-23 Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

Motivated by the recent observation of evidences of ferromagnetism in correlated insulating states in systems with Moir\'{e} superlattices, we study a two-orbital quantum antiferromagnetic model on the triangular lattice, where the two…

强关联电子 · 物理学 2019-07-31 Xiao-Chuan Wu , Anna Keselman , Chao-Ming Jian , Kelly Ann Pawlak , Cenke Xu

We study the competition between magnetic and spin-liquid phases in the Hubbard model on the anisotropic triangular lattice, which is described by two hopping parameters t and t' in different spatial directions and is relevant for layered…

强关联电子 · 物理学 2013-05-30 Luca F. Tocchio , Hélène Feldner , Federico Becca , Roser Valentí , Claudius Gros

By using variational wave functions and quantum Monte Carlo techniques, we investigate the complete phase diagram of the Heisenberg model on the anisotropic triangular lattice, where two out of three bonds have super-exchange couplings $J$…

强关联电子 · 物理学 2016-02-10 Elaheh Ghorbani , Luca F. Tocchio , Federico Becca

We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices…

强关联电子 · 物理学 2007-05-23 Sung-Sik Lee , Patrick A. Lee
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