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We study the spin-$1/2$ Heisenberg model on the square lattice with the first and second nearest-neighbor antiferromagnetic couplings $J_1$, $J_2$, as well as the three-spin scalar chiral coupling $J_{\chi}$. Using density matrix…

强关联电子 · 物理学 2024-03-27 Xiao-Tian Zhang , Yixuan Huang , Han-Qing Wu , D. N. Sheng , Shou-Shu Gong

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

强关联电子 · 物理学 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

We study the interplay of electric and magnetic order in the one dimensional Heisenberg spin-1/2 XXZ chain with large Ising anisotropy in the presence of the Dzyaloshinskii-Moriya (D-M) interaction and with longitudinal and transverse…

强关联电子 · 物理学 2018-02-22 Pradeep Thakur , P. Durganandini

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

强关联电子 · 物理学 2011-11-09 Seiji Yunoki , Sandro Sorella

We perform a systematic DMRG investigation of the two natural spin-1 generalizations of the spin-1/2 Majumdar-Ghosh chain, the spin-1 $J_1-J_2$ Heisenberg chain, where $J_2$ is a next-nearest neighbor Heisenberg coupling, and the spin-1…

强关联电子 · 物理学 2019-09-24 Natalia Chepiga , Frédéric Mila

We investigate the ground-state properties of the spin-half $J_1{-}J_2$ Heisenberg chain with a next-nearest-neighbor spin-Peierls dimerization using conformal field theory and Lanczos exact diagonalizations. In agreement with the results…

强关联电子 · 物理学 2009-11-10 Luca Capriotti , Federico Becca , Sandro Sorella , Alberto Parola

We investigate the ground-state phase diagram of the spin-1 Kitaev--Heisenberg chain in the presence of uniaxial single-ion anisotropy (SIA) $D_z$ by density-matrix renormalization group (DMRG) calculations. By combining energy-curvature…

强关联电子 · 物理学 2025-12-25 Sahinur Reja , Satoshi Nishimoto

We explore the effect of the third nearest-neighbors on the magnetic properties of the Heisenberg model on an anisotropic triangular lattice. We obtain the phase diagram of the model using Schwinger-boson mean-field theory. Competition…

强关联电子 · 物理学 2014-06-18 Jaime Merino , Michael Holt , Ben J. Powell

We study the spin-1/2 Heisenberg model on the square lattice with first- and second-neighbor antiferromagnetic interactions J1 and J2, which possesses a nonmagnetic region that has been debated for many years and might realize the…

强关联电子 · 物理学 2015-06-18 Shou-Shu Gong , Wei Zhu , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

强关联电子 · 物理学 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

We investigate the effect of a single-ion anisotropy on the bilinear-biquadratic spin-1 J1-J2 chain, focusing on the quantum phase transitions out of the trimerized phase. Using large-scale density matrix renormalization group simulations,…

强关联电子 · 物理学 2026-04-29 Bowy M. La Riviere , Natalia Chepiga

The spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

强关联电子 · 物理学 2020-07-15 Francesco Ferrari , Federico Becca

We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In…

强关联电子 · 物理学 2013-02-21 V. M. L. Durga Prasad Goli , Shaon Sahoo , S. Ramasesha , Diptiman Sen

We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

强关联电子 · 物理学 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

Ordering of frustrated S=1/2 and 1 XY and Heisenberg spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied by exact diagonalization and density-matrix renormalization-group methods. It is…

强关联电子 · 物理学 2009-10-31 M. Kaburagi , H. Kawamura , T. Hikihara

The spin-$1/2$ Heisenberg chain with a ferromagnetic first-neighbor exchange coupling $J_1$ and an antiferromagnetic second-neighbor $J_2$ has a Haldane dimer ground state with an extremely small spin gap. Thus, the ground state is readily…

强关联电子 · 物理学 2020-07-03 Hiroshi Ueda , Shigeki Onoda

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

强关联电子 · 物理学 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

Using the coupled cluster method we investigate spin-$s$ $J_{1}$-$J_{2}'$ Heisenberg antiferromagnets (HAFs) on an infinite, anisotropic, triangular lattice when the spin quantum number $s=1$ or $s=3/2$. With respect to a square-lattice…

强关联电子 · 物理学 2012-03-01 P. H. Y. Li , R. F. Bishop

Using the density matrix renormalization group technique, we study the ground state phase diagram and other low-energy properties of an isotropic antiferromagnetic spin-half chain with both dimerization and frustration, i.e., an alternation…

凝聚态物理 · 物理学 2009-10-22 R. Chitra , Swapan K. Pati , H. R. Krishnamurthy , D. Sen , S. Ramasesha

We have considered and alternating Heisenberg spin chain with nearest-neighbor ($J_1$), next-nearest neighbor ($J_2$) antiferromagnetic couplings along with z-component of the Dzyaloshinskii-Moriya(DM) ($D_z$) interactions. The Hamiltonian…

强关联电子 · 物理学 2020-12-15 Abhiroop Lahiri , Swapan K Pati