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

arXiv:1306.0600 · Physica B Condensed Matter

Thermodynamics of ferromagnetic spin chains in a magnetic field: Impact of the spin–wave interaction

Christoph P. Hofmann

Published Mar 3, 2014• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physb.2014.02.047

Related papers

Thermodynamics and magnetization process of the frustrated ferromagnetic spin-1/2 chain

Fabian Heidrich‐Meisner, D. C. Cabra, T. Vekua +1 more

Bulletin of the American Physical Society•Mar 15, 2006•0 citations

Application of Modified Spin Wave Theory to Ferromagnetic Spin Chain with Arbitrary Range Interactions (Field-Induced Phase Transitions and Dynamics in Quantum Spin Systems)

Makoto Kaburagi, Takashi Hashimoto, Min Gu Kang +1 more

Progress of Theoretical Physics•Jan 1, 2005•0 citations

Thermodynamics of spin- 1 ∕ 2 antiferromagnet-antiferromagnet-ferromagnet and ferromagnet-ferromagnet-antiferromagnet trimerized quantum Heisenberg chains

Bo Gu, Gang Su, Song Wei Gao

The magnetization process, the susceptibility, and the specific heat of the spin-$1∕2$ antiferromagnet (AF)-AF-ferromagnet (F) and F-F-AF trimerized quantum Heisenberg chains have been investigated by means of the transfer matrix renormalization group (TMRG) technique as well as the modified spin-wave (MSW) theory. A magnetization plateau at $m=1∕6$ for both trimerized chains is observed at low temperature. The susceptibility and the specific heat show various behaviors for different ferromagnetic and antiferromagnetic interactions and in different magnetic fields. The TMRG results of susceptibility and the specific heat can be nicely fitted by a linear superposition of double two-level systems, where two fitting equations are proposed. Three branch excitations, one gapless excitation and two gapful excitations, for both systems are found within the MSW theory. It is observed that the MSW theory captures the main characteristics of the thermodynamic behaviors at low temperatures. The TMRG results are also compared with the possible experimental data.

arXiv:cond-mat/0512652•Physical Review B•Apr 27, 2006•41 citations

The Thermodynamics of Linear Spin Chains in a Transverse Magnetic Field

Sergei A. Pikin, V. M. Tsukernik

Journal of Experimental and Theoretical Physics•May 1, 1966•4 citations

Magnetism and thermodynamics of spin- (12,1) decorated Heisenberg chain with spin-1 pendants

Shou-Shu Gong, Wei Li, Yang Zhao +1 more

The magnetic and thermodynamic properties of a ferrimagnetic decorated spin-$(\frac{1}{2},1)$ Heisenberg chain with spin-1 pendant spins are investigated for three cases: (A) ${J}_{1},{J}_{2}>0$; (B) ${J}_{1}>0$ and ${J}_{2}<0$; and (C) ${J}_{1}<0$ and ${J}_{2}>0$, where ${J}_{1}$ and ${J}_{2}$ are the exchange couplings between spins in the chain and along the rung, respectively. The low-lying and magnetic properties are explored jointly by the real-space renormalization group, spin wave, and density-matrix renormalization-group methods, while the transfer-matrix renormalization-group method is invoked to study the thermodynamics. It is found that the magnon spectra consist of a gapless and two gapped branches. Two branches in case (C) have intersections. The coupling dependence of low-energy gaps are analyzed. In a magnetic field, a $m=\frac{3}{2}$ ($m$ is the magnetization per unit cell) plateau is observed for case (A), while two plateaux at $m=\frac{1}{2}$ and $\frac{3}{2}$ are observed for cases (B) and (C). Between the two plateaux in cases (B) and (C), the sublattice magnetizations for the spins coupled by ferromagnetic interactions have decreasing regions with increasing the magnetic field. At finite temperature, the zero-field susceptibility temperature product $\ensuremath{\chi}T$ and specific heat exhibit distinct exotic features with varying the couplings and temperature for different cases. $\ensuremath{\chi}T$ is found to converge as $T\ensuremath{\rightarrow}0$, which is different from the divergent behavior in the spin-$(\frac{1}{2},1)$ mixed-spin chain without pendants. The observed thermodynamic behaviors are also discussed with the help of their low-lying excitations.

arXiv:1006.0794•Physical Review B•Jun 21, 2010•22 citations

Thermodynamics of the Ishimori-Haldane-Faddeev ferromagnetic chain: The field-dependent case

Nikos Theodorakopoulos, N. C. Bacalis, Z. Xiong

We calculate the thermodynamic properties of the spin-S, isotropic ferromagnetic chain with nearest-neighbor logarithmic interactions, in an external magnetic field. The calculation is performed via the transfer integral method (S=\ensuremath{\infty}) and via the interacting soliton-gas scheme (any S). The results indicate scaling behavior of the field-dependent part of the free energy; the scaling function appears to be spin independent. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matter•Aug 1, 1996•2 citations
The magnetization process, the susceptibility, and the specific heat of the spin-1∕21∕21∕2 antiferromagnet (AF)-AF-ferromagnet (F) and F-F-AF trimerized quantum Heisenberg chains have been investigated by means of the transfer matrix renormalization group (TMRG) technique as well as the modified spin-wave (MSW) theory. A magnetization plateau at m=1∕6m=1∕6m=1∕6 for both trimerized chains is observed at low temperature. The susceptibility and the specific heat show various behaviors for different ferromagnetic and antiferromagnetic interactions and in different magnetic fields. The TMRG results of susceptibility and the specific heat can be nicely fitted by a linear superposition of double two-level systems, where two fitting equations are proposed. Three branch excitations, one gapless excitation and two gapful excitations, for both systems are found within the MSW theory. It is observed that the MSW theory captures the main characteristics of the thermodynamic behaviors at low temperatures. The TMRG results are also compared with the possible experimental data.
The magnetic and thermodynamic properties of a ferrimagnetic decorated spin-(12,1)(\frac{1}{2},1)(21​,1) Heisenberg chain with spin-1 pendant spins are investigated for three cases: (A) J1,J2>0{J}_{1},{J}_{2}>0J1​,J2​>0; (B) J1>0{J}_{1}>0J1​>0 and J2<0{J}_{2}<0J2​<0; and (C) J1<0{J}_{1}<0J1​<0 and J2>0{J}_{2}>0J2​>0, where J1{J}_{1}J1​ and J2{J}_{2}J2​ are the exchange couplings between spins in the chain and along the rung, respectively. The low-lying and magnetic properties are explored jointly by the real-space renormalization group, spin wave, and density-matrix renormalization-group methods, while the transfer-matrix renormalization-group method is invoked to study the thermodynamics. It is found that the magnon spectra consist of a gapless and two gapped branches. Two branches in case (C) have intersections. The coupling dependence of low-energy gaps are analyzed. In a magnetic field, a m=32m=\frac{3}{2}m=23​ (mmm is the magnetization per unit cell) plateau is observed for case (A), while two plateaux at m=12m=\frac{1}{2}m=21​ and 32\frac{3}{2}23​ are observed for cases (B) and (C). Between the two plateaux in cases (B) and (C), the sublattice magnetizations for the spins coupled by ferromagnetic interactions have decreasing regions with increasing the magnetic field. At finite temperature, the zero-field susceptibility temperature product $\ensuremath{\chi}T$ and specific heat exhibit distinct exotic features with varying the couplings and temperature for different cases. $\ensuremath{\chi}T$ is found to converge as $T\ensuremath{\rightarrow}0$, which is different from the divergent behavior in the spin-(12,1)(\frac{1}{2},1)(21​,1) mixed-spin chain without pendants. The observed thermodynamic behaviors are also discussed with the help of their low-lying excitations.