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We study the spin-ordering and the magnon collective modes of the two-dimensional Wigner crystal state at strong magnetic fields. Our work is based on the Hartree-Fock approximation for the ground state and the time-dependent Hartree-Fock…

Condensed Matter · Physics 2009-10-28 R. Cote , A. H. MacDonald

We explore the Dirac spin liquid (DSL) as a candidate for the ground state of the Mott insulating phase of fermions with six flavors on the Kagome lattice, particularly focusing on realizations using $^{173}$Yb atoms in optical lattices.…

Strongly Correlated Electrons · Physics 2025-12-02 Dániel Vörös , Kránitz Péter , Karlo Penc

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

Despite tremendous investigations, a quantum spin liquid state realized in spin-1/2 kagome Heisenberg antiferromagnet remains largely elusive. In herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$, a quantum spin liquid candidate on the perfect kagome…

Strongly Correlated Electrons · Physics 2021-06-15 H. Murayama , T. Tominaga , T. Asaba , A. de Oliveira Silva , Y. Sato , H. Suzuki , Y. Ukai , S. Suetsugu , Y. Kasahara , R. Okuma , I. Kimchi , Y. Matsuda

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…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

We investigate the impact of the spin-phonon coupling on the S=1/2 Heisenberg model on the kagome lattice. For the pure spin model, there is increasing evidence that the low-energy properties can be correctly described by a Dirac spin…

Strongly Correlated Electrons · Physics 2024-04-19 Francesco Ferrari , Federico Becca , Roser Valenti

We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi gases in the simplest two-component case including both thermodynamic instabilities and collective excitations. The magnetic dipolar interaction is invariant under…

Quantum Gases · Physics 2012-05-29 Yi Li , Congjun Wu

We propose an experiment to use the magneto-optical Faraday effect to probe the dynamic Hall conductivity of spin liquid candidates. Theory predicts that an external magnetic field will generate an internal gauge field. If the source of…

Strongly Correlated Electrons · Physics 2015-06-22 Jacob R. Colbert , H. Dennis Drew , Patrick A. Lee

We report numerical ground states for the dipolar XY spin model, which describes extended antiferromagnetic interactions in two-dimensional arrays of polar molecules and two-level Rydberg atoms. Carrying out large-scale density matrix…

Strongly Correlated Electrons · Physics 2026-05-11 Marcus Bintz , Ahmed Khalifa , Vincent S. Liu , Johannes Hauschild , Michael P. Zaletel , Shubhayu Chatterjee , Norman Y. Yao

The existance of a spin disordered ground state for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice is reconsidered. It is argued that there is a unique action which is continuous through the whole phase diagram,…

Condensed Matter · Physics 2009-10-22 Jaime Ferrer

We study the ground-state properties of a spin-1 Heisenberg model on a square lattice with the first- and second-nearest-neighbor antiferromagnetic couplings $J_1$ and $J_2$ and a three-spin scalar chirality term $J_\chi$. Using the density…

Strongly Correlated Electrons · Physics 2022-04-06 Yixuan Huang , W. Zhu , Shou-Shu Gong , Hong-Chen Jiang , D. N. Sheng

We theoretically investigate effects of lattice distortions on the spin ordering of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. In the model, local lattice distortions originating from the site vibration are…

Strongly Correlated Electrons · Physics 2019-04-15 Kazushi Aoyama , Hikaru Kawamura

A ferromagnet with spin anisotropies on the 2D Kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall…

Strongly Correlated Electrons · Physics 2009-10-31 Kenya Ohgushi , Shuichi Murakami , Naoto Nagaosa

The spin-1/2 antiferromagnetic Heisenberg model on a Kagome lattice is geometrically frustrated, which is expected to promote the formation of many-body quantum entangled states. The most sought-after among these is the quantum spin liquid…

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…

Strongly Correlated Electrons · Physics 2009-11-11 Olexei I. Motrunich

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

Strongly Correlated Electrons · Physics 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

We study the ground-state properties of the spin-half Heisenberg antiferromagnet on the two-dimensional star lattice by spin-wave theory, exact diagonalization and a variational mean-field approach. We find evidence that the star lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Richter , J. Schulenburg , A. Honecker , D. Schmalfuß

Recently several triangular-lattice magnets with delafossite structure have been found to display spin-liquid behavior down to the lowest temperatures. Remarkably, applying a magnetic field destroys the spin liquid which then gives way to…

Strongly Correlated Electrons · Physics 2024-07-09 Santanu Dey , Joseph Maciejko , Matthias Vojta

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when…

Strongly Correlated Electrons · Physics 2018-09-03 Toru Sakai , Hiroki Nakano

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents
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