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Frustrated quantum magnets may exhibit fascinating collective phenomena. The main goal of this dissertation is to provide conclusive evidence for the emergence of novel phases of matter like quantum spin liquids in local quantum spin…

强关联电子 · 物理学 2022-10-10 Alexander Wietek

The dynamical dimer structure factor is an observable probing spin-singlet excitations of quantum magnets distinct from those commonly studied by the spin structure factor. We report the dimer response for the extended spin-$1/2$…

The search for spin liquids, magnetic phases which lie outside the Landau paradigm, remains one of the central challenges for modern condensed matter physics. For a long time, the prime candidates were thought to be spin-1/2 magnets, but…

强关联电子 · 物理学 2026-03-02 Rico Pohle , Nic Shannon

We show that the honeycomb Heisenberg antiferromagnet with $J_1/2=J_2=J_3$, where $J_{1/2/3}$ are first-, second- and third-neighbour couplings respectively, forms a classical spin liquid with pinch-point singularities in the structure…

强关联电子 · 物理学 2016-10-13 J. Rehn , Arnab Sen , Kedar Damle , R. Moessner

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

强关联电子 · 物理学 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge…

强关联电子 · 物理学 2007-05-23 Michael Hermele , Matthew P. A. Fisher , Leon Balents

Recently, a number of experiments indicate the possible presence of spin liquid phases in quantum magnets with spin-1/2 and spin-1 moments sitting on triangular-lattice-based structures in Ba3CuSb2O9 and Ba3NiSb2O9 respectively. In relation…

强关联电子 · 物理学 2013-06-04 Kyusung Hwang , Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

Quantum spin-1/2 kagome Heisenberg antiferromagnet is the representative frustrated system possibly hosting a spin liquid. Clarifying the nature of this elusive topological phase is a key challenge in condensed matter, however, even…

强关联电子 · 物理学 2015-06-16 Satoshi Nishimoto , Naokazu Shibata , Chisa Hotta

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field…

强关联电子 · 物理学 2025-08-01 Josef Willsher , Johannes Knolle

We study the phase diagram at T=0 of the antiferromagnetic Heisenberg model on the triangular lattice with spatially-anisotropic interactions. For values of the anisotropy very close to J_alpha/J_beta=0.50, conventional spin wave theory…

统计力学 · 物理学 2009-10-31 Adolfo E. Trumper

We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with…

强关联电子 · 物理学 2015-07-08 Zhenyue Zhu , Steven R. White

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

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

强关联电子 · 物理学 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

The three-dimensional frustrated spin lattice in MgCrGaO4, where Cr3+ ions occupy a pyrochlore-like network, exemplifies a quantum magnet with competing interactions, macroscopic degeneracy, and exotic low-energy excitations. Using…

强关联电子 · 物理学 2026-03-17 U. Jena , S. Kundu , Suheon Lee , Q. Faure , F. Damay , S. Rols , Adam Berlie , S. Petit , Kwang-Yong Choi , P. Khuntia

We investigate the low temperature magnetic properties of a $S=\frac{5}{2}$ Heisenberg kagom\'e antiferromagnet, the layered monodiphosphate Li$_9$Fe$_3$(P$_2$O$_7$)$_3$(PO$_4$)$_2$, using magnetization measurements and $^{31}$P nuclear…

强关联电子 · 物理学 2021-10-08 E. Kermarrec , R. Kumar , G. Bernard , R. Hénaff , P. Mendels , F. Bert , P. L. Paulose , B. K. Hazra , B. Koteswararao

Quantum spin liquids are highly entangled magnetic states with exotic properties. The $S = 1/2$ square-lattice Heisenberg model is one of the foundational models in frustrated magnetism with a predicted, but never observed, quantum spin…

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…

强关联电子 · 物理学 2018-04-26 Ioannis Rousochatzakis , Yuriy Sizyuk , Natalia B. Perkins

Specific heat ($C_V$) measurements in the spin-1/2 Cu$_2$(C$_2$H$_{12}$N$_2$)$_2$Cl$_4$ system under a magnetic field up to $H=8.25 T$ are reported and compared to the results of numerical calculations based on the 2-leg antiferromagnetic…

强关联电子 · 物理学 2009-10-31 R. Calemczuk , J. Riera , D. Poilblanc , J. -P. Boucher , G. Chaboussant , L. Levy , O. Piovesana

We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting…

强关联电子 · 物理学 2025-12-03 Anna Keselman , Xinyuan Xu , Hao Zhang , Cristian D. Batista , Oleg A. Starykh

We numerically study the spin-$1/2$ breathing kagome lattice. In this variation of the kagome Heisenberg antiferromagnet, the spins belonging to upward and downward facing triangles have different coupling strengths. Using the density…

强关联电子 · 物理学 2017-11-22 Cécile Repellin , Yin-Chen He , Frank Pollmann