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We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S_1 > S_2, using 1/S…

强关联电子 · 物理学 2009-10-31 N. B. Ivanov , J. Richter , U. Schollwoeck

We study the frustrated and dimerized ferromagnetic-antiferromagnetic $J_1$-$J_1'$-$J_2$ chain using the density-matrix renormalization group (DMRG) method. Based on numerical calculations of the second derivative of energy, spin gap,…

强关联电子 · 物理学 2023-11-10 Jędrzej Wardyn , Satoshi Nishimoto , Cliò Efthimia Agrapidis

Frustrated one-dimensional (1D) magnets are known as ideal playgrounds for new exotic quantum phenomena to emerge. We consider an elementary frustrated 1D system: the spin-$\frac{1}{2}$ ferromagnetic ($J_1$) Heisenberg chain with…

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 study the spin $S=1$ Heisenberg chain, with nearest neighbor, next nearest neighbor ($\alpha$) and biquadratic ($\beta$) interactions using a combination of the density matrix renormalization group (DMRG), an analytic variational matrix…

强关联电子 · 物理学 2015-01-28 J. H. Pixley , Aditya Shashi , Andriy H. Nevidomskyy

Using a loop-cluster algorithm we investigate the spin 1/2 Heisenberg antiferromagnet on a square lattice with exchange coupling $J$ and an additional four-spin interaction of strength $Q$. We confirm the existence of a phase transition…

强关联电子 · 物理学 2009-11-13 F. -J. Jiang , M. Nyfeler , S. Chandrasekharan , U. -J. Wiese

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

凝聚态物理 · 物理学 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

Some rigorous results are presented for a first-order quantum phase transition between the dimerized state and Haldane-type state (i.e., a state similar to the ground state of the one-dimensional spin-1 Heisenberg chain) in the spin-1/2…

凝聚态物理 · 物理学 2016-08-31 Y. Xian

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

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

强关联电子 · 物理学 2010-05-04 Anders W. Sandvik

We investigate a one-dimensional S=1 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. Investigating the ground state energy of the static bond-alternating chain, we find that the…

统计力学 · 物理学 2009-10-31 Hiroaki Onishi , Seiji Miyashita

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 examine the phase diagram of the spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice, in which $J_1$ is the ferromagnetic exchange interaction between nearest neighbors, $J_2$ is…

强关联电子 · 物理学 2016-03-02 D. C. Carvalho , A. S. T. Pires , L. A. S. Mól

Using the density-matrix renormalization group technique, we study a one-dimensional spin-$\frac{1}{2}$ Heisenberg chain consisting of coupled tetramers as an effective spin model for copper vanadate CuInVO$_5$. We obtain the ground-state…

强关联电子 · 物理学 2019-04-17 Sahinur Reja , Satoshi Nishimoto

The zero-temperature ground-state (GS) properties and phase diagram of a frustrated spin-1 $J_{1}$--$J_{2}$ Heisenberg model on the checkerboard square lattice are studied, using the coupled cluster method. We consider the case where the…

强关联电子 · 物理学 2014-08-20 P H Y Li , R F Bishop , C E Campbell

We use the density matrix renormalization group method to study the ground state `phase' diagram and some low-energy properties of isotropic antiferromagnetic spin-$1 \over 2$ and spin-$1$ chains with a next-nearest neighbor exchange $J_2…

凝聚态物理 · 物理学 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , S. Ramasesha , H. R. Krishnamurthy

We use a tensor network renormalization group method to study random $S=2$ antiferromagnetic Heisenberg chains with alternating bond strength distributions. In the absence of randomness, bond alternation induces two quantum critical points…

强关联电子 · 物理学 2023-12-18 Yen-Tung Lin , Shao-Fu Liu , Pochung Chen , Yu-Cheng Lin

The $J_1$-$J_2$ spin chain is one of the canonical models of quantum magnetism, and has long been known to host a critical antiferromagnetic phase with power-law decay of spin correlations. We show in this Letter that there are, in fact,…

统计力学 · 物理学 2025-10-29 Adam J. McRoberts , Chris Hooley , A. G. Green

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

Heisenberg antiferromagnet with an easy-plane anisotropy is discussed in which a magnetic spiral is induced by Dzyaloshinskii-Moriya interaction and/or frustration of the exchange coupling. The distortion of the spiral by small in-plane…

强关联电子 · 物理学 2026-05-05 P. T. Bolokhova , A. V. Syromyatnikov
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