Thermodynamic Properties of the<i>S</i>=1/2 Heisenberg Chain with Staggered Dzyaloshinsky–Moriya Interaction

Shibata, Naokazu; Ueda, Kazuo

doi:10.1143/jpsj.70.3690

Cited by 35 publications

(50 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To our knowledge, previous numerical works 12,19,20,21 only showed m u and m s separately, while numerical results for the combination m phys (Eq. 3) have not been published yet.…”

Section: ′′mentioning

confidence: 91%

“…Due to the fast disappearance of finite-size effects for higher magnetic fields it is completely sufficient for our purposes to apply the Lanczos diagonalization procedure to rings with N ≤ 20 sites. Therefore, the additional effort of a DMRG procedure 12,19,20,21 is not necessary here.…”

Section: ′′mentioning

confidence: 99%

“…Recently, for the staggered S = 1/2 AFHC the magnetization curve has been calculated by several groups 12,19,20,21 . As yet, these theoretical predictions have not been verified experimentally.…”

mentioning

confidence: 99%

See 2 more Smart Citations

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

We present a high-field magnetization study of the S=1/2 antiferromagnetic Heisenberg chain [PM Cu(NO3)2(H2O)2]n. For this material, as result of the Dzyaloshinskii-Moriya interaction and a staggered g-tensor, the ground state is characterized by an anisotropic field-induced spin excitation gap and a staggered magnetization. Our data reveal the qualitatively different behavior in the directions of maximum and zero spin excitation gap. The data are analyzed via exact diagonalization of a linear spin chain with up to 20 sites and on basis of the Bethe ansatz equations, respectively. For both directions we find very good agreement between experimental data and theoretical calculations. We extract the magnetic coupling strength J/kB along the chain direction to 36.3(5) K and determine the field dependence of the staggered magnetization component ms.PACS numbers: 75.10. Jm, 75.50.Ee, 75.30.Gw, 75.50.Xx Motivated by the rich variety of different magnetic ground states, such as quantum critical behavior or gaps in the spin excitation spectra, quasi-one-dimensional quantum magnets have been the focus of intense experimental and theoretical research efforts in recent years 1,2,3,4 . To gain deeper insight into the physics of such quantum spin systems well-defined model compounds need to be explored. Here, the uniform S = 1/2 antiferromagnetic Heisenberg chain (AFHC) is of particular interest, since it is exactly solvable using the so-called Bethe ansatz equations 5,6,7 . In S = 1/2 AFHCs, lacking inversion symmetry, additional terms in the Hamiltonian have to be taken into account, that is the Dzyaloshinskii-Moriya (DM) interaction and an alternating g tensor 8,9 . This gives rise to an effective staggered field h s perpendicular to the applied magnetic field H. Then the Hamiltonian is written aswith J as the coupling constant, h u = gµ B H/J as the effective uniform field, and h s the induced effective staggered field. In the following we refer to this as the staggered S = 1/2 AFHC model. Resulting from this extension of the uniform S = 1/2 AFHC are the opening of an anisotropic spin excitation gap with application of a magnetic field and new, particlelike excitations such as solitons, antisolitons, and their bound state, the "breather" 10,11 . Moreover, by fully evaluating the effect of the DM interaction on the ground state properties, a crossover to a qualitatively different high-field behavior has been predicted recently 12 .The model for the staggered S = 1/2 AFHC has been used to describe two materials in particular, copper benzoate 3 and copper pyrimidine nitrate [PM Cu(NO 3 ) 2 (H 2 O) 2 ] n 13 . For the latter compound, from a single-crystal study a magnetic exchange parameter J/k B = 36 K is derived. Further, an additional Curie-like contribution to the magnetic susceptibility at low temperatures is observed, which varies strongly with magnitude and direction of the applied external field. Specificheat measurements in magnetic fields verify the predicted formation of an anisotropic spin excitation gap, whos...

show abstract

“…To our knowledge, previous numerical works 12,19,20,21 only showed m u and m s separately, while numerical results for the combination m phys (Eq. 3) have not been published yet.…”

Section: ′′mentioning

confidence: 91%

Section: ′′mentioning

confidence: 99%

See 1 more Smart Citation

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

show abstract

“…The J = 7/2 ground-state multiplet splits into four doublets as a result of the crystal-field effect. Thus, the low-temperature dynamics is described by an effective S = 1/2 spin chain with antiferromagnetic interactions and staggered field [2,3]. However, some effort was needed to model the specific heat results for Yb 4 As 3 [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…, B is the uniform external magnetic field perpendicular to the one--dimensional spin chain, g ⊥ = 1.3 and g = 3.0 [2], tan(θ) = 0.19 [3] and the intrachain exchange coupling J/k B = −28 K.…”

Section: Introductionmentioning

confidence: 99%

Field-Dependent Specific Heat and Energy Gap in the Yb₄As₃Compound

Matysiak

2010

Acta Phys. Pol. A

View full text Add to dashboard Cite

We report the low-temperature specific-heat simulation results and reanalyzed measurement data on polydomain Yb4As3 in magnetic fields B = 0 and 6 T. The data considered here are independent and supplement those considered earlier. A quantitative agreement has again been achieved between the magnetic experimental specific-heat data and the numerical results obtained by the quantum transfer-matrix simulation technique, yielding a new evidence in favour of the Heisenberg model of the antiferromagnetic spin S = 1/2 chain with the value of the exchange integral J/kB = −28 K. The finite-size quantum transfer matrix approximants have been extrapolated exploiting the procedure developed previously. On the basis of the data in magnetic field and using the corresponding density-matrix renormalization group results, the energy-gap size ∆ has been estimated for the applied magnetic field B = 6 T, leading to the experimental verification in the extended region of the scaling law ∆ ∼ B 2/3 following from the sine-Gordon model.

show abstract

The semimetallic S = 1/2 antiferromagnetic chain Yb₄As₃: quantum transfer‐matrix simulations and experimental field‐dependent specific‐heat data

Matysiak¹,

Kamieniarz

Gegenwart

et al. 2003

Physica Status Solidi (b)

View full text Add to dashboard Cite

The S ¼ 1=2 antiferromagnetic Heisenberg model with the Dzyaloshinsky-Moriya interaction is applied to Yb 4 As 3 . In this paper we calculate the specific heat of this model, mapped onto the isotropic Heisenberg model with both uniform field B x and staggered field B y s , by the numerical quantum transfer-matrix (QTM) method and we present new experimental results for the polydomain sample in the applied field.

show abstract

Thermodynamic Properties of theS=1/2 Heisenberg Chain with Staggered Dzyaloshinsky–Moriya Interaction

Cited by 35 publications

References 17 publications

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

Field-Dependent Specific Heat and Energy Gap in the Yb₄As₃Compound

The semimetallic S = 1/2 antiferromagnetic chain Yb₄As₃: quantum transfer‐matrix simulations and experimental field‐dependent specific‐heat data

Contact Info

Product

Resources

About

Thermodynamic Properties of theS=1/2 Heisenberg Chain with Staggered Dzyaloshinsky–Moriya Interaction

Cited by 35 publications

References 17 publications

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(Wolter1, Rakoto2, Costes3 et al. 2003Phys. Rev. B292272View full textAdd to dashboardCite

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(Wolter1, Rakoto2, Costes3 et al. 2003Phys. Rev. B292272View full textAdd to dashboardCite

Field-Dependent Specific Heat and Energy Gap in the Yb4As3Compound

The semimetallic S = 1/2 antiferromagnetic chain Yb4As3: quantum transfer‐matrix simulations and experimental field‐dependent specific‐heat data

Contact Info

Product

Resources

About

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

High-field magnetization study of theS=12antiferromagnetic Heisenberg chain[PMCu(
Wolter
¹
,
Rakoto
²
,
Costes
³

et al. 2003
Phys. Rev. B
29
2
27
2
View full text Add to dashboard Cite

Field-Dependent Specific Heat and Energy Gap in the Yb₄As₃Compound

The semimetallic S = 1/2 antiferromagnetic chain Yb₄As₃: quantum transfer‐matrix simulations and experimental field‐dependent specific‐heat data