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The coupled cluster method is applied to a spin-half model at zero temperature ($T=0$), which interpolates between Heisenberg antiferromagnets (HAF's) on a kagome and a square lattice. With respect to an underlying triangular lattice the…

Strongly Correlated Electrons · Physics 2015-03-17 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

We investigate the zero-temperature behavior of the classical Heisenberg model on the triangular lattice in which the competition between exchange interactions of different orders favors a relative angle between neighboring spins in the…

Statistical Mechanics · Physics 2012-06-05 S. E. Korshunov , F. Mila , K. Penc

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

Zero-point quantum fluctuations of a N\'eel order can produce effective interactions between quasi-orphan spins weakly coupled to the lattice. On the $\sqrt{3}\times\sqrt{3}-$distorted triangular lattice, this phenomenon leads to a…

Strongly Correlated Electrons · Physics 2023-04-18 G. G. Blesio , F. T. Lisandrini , M. G. Gonzalez

We reconsider the results cocerning the extreme-quantum $S=1/2$ square-lattice Heisenberg antiferromagnet with frustrating diagonal couplings ($J_1-J_2$ model) drawn from a comparison with exact-diagonalization data. A combined approach…

Condensed Matter · Physics 2009-10-22 N. B. Ivanov , J. Richter

Motivated by recent experiments on an S=1/2 antiferromagnet on the kagome lattice, we investigate the Heisenberg J1-J2 model with ferromagnetic J1 and antiferromagnetic J2. Classically the ground state displays Neel long range order with 12…

Strongly Correlated Electrons · Physics 2007-05-23 Jean-Christophe Domenge , Philippe Sindzingre , Claire Lhuillier , Laurent Pierre

The square lattice antiferromagnet with frustrating next nearest neighbour coupling continues to generate tremendous interest, with an elusive quantum disordered phase in the vicinity of $J_2$ = $J_1$/2. At this precise value of…

Strongly Correlated Electrons · Physics 2016-10-05 Bimla Danu , Gautam Nambiar , R. Ganesh

We use a variational mean-field like approach, the coupled cluster method (CCM) and exact diagonalization to investigate the ground-state order-disorder transition for the square lattice spin-half XXZ model with two different…

Strongly Correlated Electrons · Physics 2009-11-10 R. Darradi , J. Richter , S. E. Krueger

We apply the plaquette renormalization scheme of tensor network states [Phys. Rev. E, 83, 056703 (2011)] to study the spin-1/2 frustrated Heisenberg J1-J2 model on a L*L square lattice with L = 8, 16 and 32. By treating tensor elements as…

Strongly Correlated Electrons · Physics 2016-11-25 Ji-Feng Yu , Ying-Jer Kao

Second-order spin-wave expansions are used to compute the ground-state energy and sublattice magnetizations of the quantum one-dimensional Heisenberg ferrimagnet with nearest-neighbor antiferromagnetic interactions and two types of…

Strongly Correlated Electrons · Physics 2009-10-30 N. B. Ivanov

The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and…

Strongly Correlated Electrons · Physics 2015-06-04 Louis-Paul Henry , Peter C. W. Holdsworth , Frédéric Mila , Tommaso Roscilde

At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find…

Strongly Correlated Electrons · Physics 2010-05-03 Kingshuk Majumdar , Trinanjan Datta

Close to half filling and in the limit of strong interactions the Hubbard model leads a spin Hamiltonian. In its original isotropic form this is the Heisenberg model with antiferromagnetic coupling $J$. On a square lattice there is no…

Strongly Correlated Electrons · Physics 2016-12-28 Aaron Farrell , P. -K. Wu , Y. -J. Kao , T. Pereg-Barnea

We propose a modified spin-wave theory to study the 1/3 magnetization plateau of the antiferromagnetic Heisenberg model on the kagome lattice. By the self-consistent inclusion of quantum corrections, the 1/3 plateau is stabilized over a…

Strongly Correlated Electrons · Physics 2016-06-23 Zhong-Chao Wei , Hai-Jun Liao , Jing Chen , Hai-Dong Xie , Zhi-Yuan Liu , Zhi-Yuan Xie , Wei Li , Bruce Normand , Tao Xiang

Ground- and excited-state quantum fidelities in combination with generalized quantum fidelity susceptibilites, obtained from exact diagonalizations, are used to explore the phase diagram of the anisotropic next-nearest-neighbour triangular…

Strongly Correlated Electrons · Physics 2015-06-22 Mischa Thesberg , Erik S. Sørensen

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 investigate the ground-state phase diagram of a spin-1/2 honeycomb-lattice antiferromagnetic (AF) Heisenberg model with three exchange interactions, $J_{\rm A}$, $J_{\rm B}$, and $J_{\rm C}$ that is realized in a distorted…

Strongly Correlated Electrons · Physics 2022-06-29 Tokuro Shimokawa , Ken'ichi Takano , Zentaro Honda , Akira Okutani , Masayuki Hagiwara

The variational study of the ground state of the spin$-1/2$ anisotropic Heisenberg antiferromagnet has been revisited on a square lattice by improving and correcting past numerical results found in Sol. State. Comm. 165, 33 (2013). The…

Motivated by recent experiments and density functional theory calculations on choloalite PbCuTe$_2$O$_6$, which possesses a Cu-based three-dimensional hyperkagome lattice, we propose and study a $J_1$-$J_2$-$J_3$ antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-02-12 Hui-Ke Jin , Yi Zhou

We develop an improved variant of $U(1)$-symmetric infinite projected entangled-pair state (iPEPS) ansatz to investigate the ground state phase diagram of the spin-$1/2$ square $J_{1}-J_{2}$ Heisenberg model. In order to improve the…

Strongly Correlated Electrons · Physics 2018-06-01 R. Haghshenas , D. N. Sheng