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The properties of antiferromagnetic Heisenberg $S=\frac{1}{2}$ ladders with 2, 3, and 4 chains are expanded in the ratio of the intra- and interchain coupling constants. A simple mapping procedure is introduced to relate the 4 and 2-chain…

Condensed Matter · Physics 2009-10-22 M. Reigrotzki , H. Tsunetsugu , T. M. Rice

We study the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on a series of finite-size clusters with features inspired by the fullerenes. Frustration due to the presence of pentagonal rings makes such structures challenging in the context of…

Condensed Matter · Physics 2009-10-28 N. A. Modine , Efthimios Kaxiras

The homogenized stiffnesses of a corrugated plate are calculated by solving the periodicity cell problem of the homogenization theory by using two-steps dimension reduction procedure. The three-dimensional periodicity cell problem first…

Classical Physics · Physics 2018-11-22 A. A. Kolpakov , A. G. Kolpakov

The coupled cluster method (CCM) is applied to a spin-half model at zero temperature which interpolates between a triangular lattice antiferromagnet (TAF) and a Kagome lattice antiferromagnet (KAF). The strength of the bonds which connect…

Superconductivity · Physics 2017-08-23 D. J. J. Farnell , R. F. Bishop , K. A. Gernoth

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

The Dynamical Cluster Approximation with Betts clusters is used to calculate the antiferromagnetic phase diagram of the 3D Hubbard model at half filling. Betts clusters are a set of periodic clusters which best reflect the properties of the…

Strongly Correlated Electrons · Physics 2009-11-11 P. R. C. Kent , M. Jarrell , T. A. Maier , Th. Pruschke

We outline how the coupled cluster method of microscopic quantum many-body theory can be utilized in practice to give highly accurate results for the ground-state properties of a wide variety of highly frustrated and strongly correlated…

Strongly Correlated Electrons · Physics 2014-10-24 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We develop a calculation scheme using \textit{ab initio} tight-binding Hamiltonians to evaluate biquadratic magnetic interactions. This approach relies on the spin cluster expansion combined with the disordered local moment (DLM) method,…

Strongly Correlated Electrons · Physics 2025-11-21 Tatsuto Hatanaka , Juba Bouaziz , Takuya Nomoto , Ryotaro Arita

Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickelbased CMSX-4, cubic symmetry is nevertheless expected. It is…

Optimization and Control · Mathematics 2022-03-29 Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac

We employ an improved estimator to calculate the constraint effective potential of the staggered magnetization in the spin $\tfrac{1}{2}$ quantum Heisenberg model using a loop-cluster algorithm. The first and second moment of the…

Strongly Correlated Electrons · Physics 2009-11-13 U. Gerber , C. P. Hofmann , F. -J. Jiang , M. Nyfeler , U. -J. Wiese

We propose an efficient numerical method to obtain local order parameter in two-dimensional systems using spiral boundary conditions. As a benchmark, we first estimate the magnitude of staggered magnetization for the $S=1/2$ XXZ Heisenberg…

Strongly Correlated Electrons · Physics 2023-01-02 Masahiro Kadosawa , Masaaki Nakamura , Yukinori Ohta , Satoshi Nishimoto

The generalized spin stiffness constant for a doped quantum antiferromagnet has been investigated both analytically and numerically as a function of doping concentration at zero temperature, based on the strongly correlated t-J model on…

Strongly Correlated Electrons · Physics 2016-09-21 Suraka Bhattacharjee , Ranjan Chaudhury

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

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

A first-principles method is presented to calculate elastic constants up to the fourth order of crystals with the cubic and hexagonal symmetries. The method relies on the numerical differentiation of the second Piola-Kirchhoff stress tensor…

Materials Science · Physics 2023-05-03 Abhiyan Pandit , Angelo Bongiorno

In this article, we present new results of high-order coupled cluster method (CCM) calculations, based on a N\'eel model state with spins aligned in the $z$-direction, for both the ground- and excited-state properties of the spin-half {\it…

Strongly Correlated Electrons · Physics 2013-05-30 R. F. Bishop , D. J. J. Farnell , S. E. Krueger , J. B. Parkinson , J. Richter , C. Zeng

The Coupled-Cluster theory is one of the most successful high precision methods used to solve the stationary Schr\"odinger equation. In this article, we address the mathematical foundation of this theory with focus on the advances made in…

Chemical Physics · Physics 2019-09-04 Andre Laestadius , Fabian M. Faulstich

We compute, within the Schwinger-boson scheme, the Gaussian-fluctuation corrections to the order-parameter stiffness of two frustrated quantum spin systems: the triangular-lattice Heisenberg antiferromagnet and the J1-J2 model on the square…

Statistical Mechanics · Physics 2009-10-30 L. O. Manuel , A. E. Trumper , H. A. Ceccatto

We compute the momentum- and frequency-dependent longitudinal spin structure factor for the one-dimensional spin-1/2 $XXZ$ Heisenberg spin chain in a magnetic field, using exact determinant representations for form factors on the lattice.…

Strongly Correlated Electrons · Physics 2009-11-11 J. -S. Caux , J. -M. Maillet

We investigate an antiferromagnetic quantum Heisenberg model on a square lattice with high-spin magnetic impurities to clarify how random and stealthy hyperuniform impurity configurations influence the bulk magnetic properties. Stealthy…

Disordered Systems and Neural Networks · Physics 2026-02-27 K. Asakura , K. Yamamoto , A. Koga