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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…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper

We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that…

Statistical Mechanics · Physics 2013-06-25 Milan Žukovič , Andrej Bobák

Triangular lattice antiferromagnets first attracted attention as a frustrated magnetic lattice which can serve as a platform to realize the resonating valence bond state. While the triangular lattice itself was shown to support classical…

Strongly Correlated Electrons · Physics 2026-05-25 Jazzmin Victorin , Shreenanda Ghosh , Seyed Koohpayeh , Chris Lygouras , Natalia Drichko

The spin wave excitations of the geometrically frustrated triangular lattice antiferromagnet (TLA) $\rm CuFeO_2$ have been measured using high resolution inelastic neutron scattering. Antiferromagnetic interactions up to third nearest…

Strongly Correlated Electrons · Physics 2007-10-08 F. Ye , J. A. Fernandez-Baca , R. S. Fishman , Y. Ren , H. J. Kang , Y. Qiu , T. Kimura

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

We use series expansions to study the excitation spectra of spin-1/2 antiferromagnets on anisotropic triangular lattices. For the isotropic triangular lattice model (TLM) the high-energy spectra show several anomalous features that differ…

Strongly Correlated Electrons · Physics 2009-11-11 Weihong Zheng , John O. Fjaerestad , Rajiv R. P. Singh , Ross H. McKenzie , Radu Coldea

We use a combination of density matrix renormalization group calculations and analytical approaches to study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , Hyejin Ju , Hong-Chen Jiang , Oleg A. Starykh , Leon Balents

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Quantum Gases · Physics 2013-01-30 Philipp Hauke

We have performed Monte Carlo studies of the 3D $XY$ model with random uniaxial anisotropy, which is a model for randomly pinned spin-density waves. We study $L \times L \times L$ simple cubic lattices, using $L$ values in the range 16 to…

Disordered Systems and Neural Networks · Physics 2009-06-25 Ronald Fisch

Single crystals of Cr$_2$Ge$_2$Te$_6$ were studied by high-resolution capacitance dilatometry to obtain in-plane ($B\parallel ab$) and out-of-plane ($B\parallel c$) thermal expansion and magnetostriction at temperatures between 2 and 300 K…

Strongly Correlated Electrons · Physics 2023-05-24 S. Spachmann , S. Selter , B. Büchner , S. Aswartham , R. Klingeler

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

The spatially anisotropic triangular antiferromagnet is investigated with the numerical diagonalization method. As the anisotropy varies, the model changes into a variety of systems such as the one-dimensional, triangular, and…

Statistical Mechanics · Physics 2009-11-13 Yoshihiro Nishiyama

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp}$ hopping amplitudes at…

Strongly Correlated Electrons · Physics 2021-03-19 Marcin Raczkowski , Fakher F. Assaad , Masatoshi Imada

We present a functional renormalization group scheme that allows us to calculate frustrated magnetic systems of arbitrary lattice geometry beyond O(200) sites from first principles. We study the magnetic susceptibility of the…

Strongly Correlated Electrons · Physics 2015-05-19 Johannes Reuther , Ronny Thomale

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

In the geometrically frustrated materials with the low-dimensional and small spin moment, the quantum fluctuation could interfere with the complicated interplay of the spin, electron, lattice and orbital interactions, and host exotic ground…

Strongly Correlated Electrons · Physics 2018-09-19 Z. Lu , L. Ge , G. Wang , M. Russina , G. Guenther , C. R. dela Cruz , R. Sinclair , H. D. Zhou , J. Ma

We present a model compound with a spin-1/2 spatially anisotropic frustrated square lattice, in which three antiferromagnetic interactions and one ferromagnetic interaction are competing. We observe an unconventional gradual increase in the…

Strongly Correlated Electrons · Physics 2021-06-24 H. Yamaguchi , Y. Iwasaki , Y. Kono , T. Okubo , S. Miyamoto , Y. Hosokoshi , A. Matsuo , T. Sakakibara , T. Kida , M. Hagiwara

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter
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