Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

Quantum phase transition as a result of magnetic frustrations in a ferrimagnetic Heisenberg system

Zhang Song-Jun, Jianjun Jiang, Yongjun Liu, 扬州大学物理科学与技术学院,扬州 225002

Published Jan 1, 2008• 5 citations
Publisher

Abstract

Using density-matrix renormalization group (DMRG) method, we studied the effect of magnetic frustrations due to next-nearest- neighbor bonds in a system of quasi-one-dimensional Heisenberg antiferromagnetic chain but with ferrimagnetic properties. In this paper, the ground state energy per unit cell, spin correlation function and spin gap are calculated. As a result of the frustrations, the quantum disordered phase with the spin gap appears at the spin order-disorder phase transition point αC≈0.412 to α＝1. And in the region of magnetic-order phase, the increasing magnetic frustrations reduce the magnetic order.

DOI
10.7498/aps.57.531

Related papers

Quantum phase transition caused by the frustration and anisotropic effect in the S＝1 ferromagnetic model

Yongjun Liu

By using the density matrix renormalization group(DMRG) method,the author investigates the diagram of the one-dimensional frustrated anisotropic ferromagnetic S=1 Heisenberg spin model,in which the nearest neighboring interactions are anisotropic ferromagnetic and the next nearest neighboring exchanges are considerable anti-ferromagnetic.The ground state energy and both the in-plane and out-of-plane spin correlation functions are calculated.Apart from the ferromagnetic phase and the spin-fluid phase in the small frustration region,but in the large frustration region,it is identified that spin correlations decay with a short-range exponential law and an oscillating behavior.The result is different from the previous result for S=1/2.

Journal of Yangzhou University•Jan 1, 2012•0 citations

DMRG research on a system of quasi-one-dimensional Heisenberg antiferromagnetic chain with symmetry breaking of sublattice

Yongjun Liu

By using density-matrix renormalization group(DMRG) method,the authors investigate a system of quasi-one-dimensional Heisenberg antiferromagnetic chain with symmetry breaking of sublattice.The ground state energy per unit cell,spin correlation function and staggered susceptibility are calculated.The calculations show that the system exhibits ferrimagnetic properties,although the spin-spin interactions are antiferromagnetic.The results are consistent qualitatively with the conclusion predicted by LIEB-MATTIS theorem and the results calculated by spin-wave theory.

Journal of Yangzhou University•Jan 1, 2007•0 citations

Frustrated quantum Heisenberg ferrimagnetic chains

Nedko B. Ivanov, Johannes Richter, Ulrich Schollwöck

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 $1/S$ spin-wave expansions, density-matrix renormalization group, and exact diagonalization techniques. It is argued that the zero-point spin fluctuations completely destroy the classical commensurate-incommensurate continuous transition. Instead, the long-range ferrimagnetic state disappears through a discontinuous transition to a singlet state at a larger value of the frustration parameter. In the ferrimagnetic phase we find a disorder point marking the onset of incommensurate real-space short-range spin-spin correlations.

arXiv:cond-mat/9803150•Physical review. B, Condensed matter•Dec 1, 1998•30 citations

Numerical Research on Quasi-one-dimensional Heisenberg Antiferromagnetic Spin System

Dongfang Chen

The magnetic order of a special quasi-one-dimensional Heisenberg antiferromagnetic spin model with numerical density matrix renormalization groups is discussed. The ground energy per unit cell, spin correlation function and the spin gap are calculated. Results show that the quasi-one-dimensional spin system has magnetic long-rang order under ground state and the spin correlation on chain is short-rang.

Journal of Jiangsu University of Science and Technology•Jan 1, 2005•0 citations

Frustration-Induced Ferrimagnetism in Heisenberg Spin Chains

Tokuro Shimokawa, Hiroki Nakano

We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism is realized not only in the case of S=1/2 but also S=1 despite that there is only a single spin site in each unit cell determined from the shape of the Hamiltonian. Our numerical results suggest that a "multi-sublattice structure" is not required for the occurrence of ferrimagnetism in quantum spin systems with isotropic interactions.

arXiv:1111.3430•Journal of the Physical Society of Japan•Nov 21, 2011•5 citations

Ferrimagnetic states inS= 1/2 frustrated Heisenberg chains with period 3 exchange modulation

K Hida

The ground state properties of the S = 1/2 frustrated Heisenberg chain with period 3 exchange modulation are investigated using the numerical diagonalization and density matrix renormalization group (DMRG) method. It is known that this model has a magnetization plateau at one third of the saturation magnetization M s . On the other hand, the ground state is ferrimagnetic even in the absence of frustration if one of the nearest neighbour bond is ferromagnetic and the others are antiferromagnetic. In the present work, we show that this ferrimagnetic state continues to the region in which all bonds are antiferromagnetic if the frustration is strong. This state further continues to the above-mentioned 1/3 plateau state. In between, we also find the noncollinear ferrimagnetic phase in which the spontaneous magnetization is finite but less than M s /3. The intuitive interpretation for the phase diagram is given and the physical properties of these phases are discussed.

arXiv:cond-mat/0608582•Journal of Physics Condensed Matter•Mar 23, 2007•25 citations
Using density-matrix renormalization group (DMRG) method, we studied the effect of magnetic frustrations due to next-nearest- neighbor bonds in a system of quasi-one-dimensional Heisenberg antiferromagnetic chain but with ferrimagnetic properties. In this paper, the ground state energy per unit cell, spin correlation function and spin gap are calculated. As a result of the frustrations, the quantum disordered phase with the spin gap appears at the spin order-disorder phase transition point αC≈0.412 to α＝1. And in the region of magnetic-order phase, the increasing magnetic frustrations reduce the magnetic order.
By using the density matrix renormalization group(DMRG) method,the author investigates the diagram of the one-dimensional frustrated anisotropic ferromagnetic S=1 Heisenberg spin model,in which the nearest neighboring interactions are anisotropic ferromagnetic and the next nearest neighboring exchanges are considerable anti-ferromagnetic.The ground state energy and both the in-plane and out-of-plane spin correlation functions are calculated.Apart from the ferromagnetic phase and the spin-fluid phase in the small frustration region,but in the large frustration region,it is identified that spin correlations decay with a short-range exponential law and an oscillating behavior.The result is different from the previous result for S=1/2.
By using density-matrix renormalization group(DMRG) method,the authors investigate a system of quasi-one-dimensional Heisenberg antiferromagnetic chain with symmetry breaking of sublattice.The ground state energy per unit cell,spin correlation function and staggered susceptibility are calculated.The calculations show that the system exhibits ferrimagnetic properties,although the spin-spin interactions are antiferromagnetic.The results are consistent qualitatively with the conclusion predicted by LIEB-MATTIS theorem and the results calculated by spin-wave theory.
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 S1>S2,{S}_{1}>{S}_{2},S1​>S2​, using 1/S1/S1/S spin-wave expansions, density-matrix renormalization group, and exact diagonalization techniques. It is argued that the zero-point spin fluctuations completely destroy the classical commensurate-incommensurate continuous transition. Instead, the long-range ferrimagnetic state disappears through a discontinuous transition to a singlet state at a larger value of the frustration parameter. In the ferrimagnetic phase we find a disorder point marking the onset of incommensurate real-space short-range spin-spin correlations.
We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism is realized not only in the case of S=1/2 but also S=1 despite that there is only a single spin site in each unit cell determined from the shape of the Hamiltonian. Our numerical results suggest that a "multi-sublattice structure" is not required for the occurrence of ferrimagnetism in quantum spin systems with isotropic interactions.
The ground state properties of the S = 1/2 frustrated Heisenberg chain with period 3 exchange modulation are investigated using the numerical diagonalization and density matrix renormalization group (DMRG) method. It is known that this model has a magnetization plateau at one third of the saturation magnetization M s . On the other hand, the ground state is ferrimagnetic even in the absence of frustration if one of the nearest neighbour bond is ferromagnetic and the others are antiferromagnetic. In the present work, we show that this ferrimagnetic state continues to the region in which all bonds are antiferromagnetic if the frustration is strong. This state further continues to the above-mentioned 1/3 plateau state. In between, we also find the noncollinear ferrimagnetic phase in which the spontaneous magnetization is finite but less than M s /3. The intuitive interpretation for the phase diagram is given and the physical properties of these phases are discussed.