Thermodynamics of the spin-flop transition in a quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XYZ</mml:mi></mml:math>chain

Wang, X.; Zotos, X.; Karadamoglou, J.; Papanicolaou, N.

doi:10.1103/physrevb.61.14303

Cited by 7 publications

(6 citation statements)

References 9 publications

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“…20 The absence of such anomalies in the present model reinforces the need for explaining the excess specific heat in simple terms.…”

Section: A Field Perpendicular To Csupporting

confidence: 71%

“…The implied normal spinwave behavior of this easyplane ferromagnetic chain should be contrasted with the low-temperature anomalies discovered by Johnson and Bonner 19 in an easy-axis ferromagnetic chain and recently confirmed by a TMRG calculation. 20 The absence of such anomalies in the present model reinforces the need for explaining the excess specific heat in simple terms.…”

Section: A Field Perpendicular To Csupporting

confidence: 71%

“…24 Nevertheless, TMRG can be applied in a straightforward manner irrespective of complete integrability. 20 The extent to which the 1D Hamiltonian ͑1.1͒ may describe the magnetic properties of CsNiF 3 has been debated on several occasions. Our calculations confirm the general conclusion that the 1D model accounts for the main features of all available experimental data.…”

Section: Discussionmentioning

confidence: 99%

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Magnon dispersion and thermodynamics inCsNiF3

Karadamoglou

Papanicolaou

Wang³

et al. 2001

Phys. Rev. B

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We present an accurate transfer matrix renormalization group calculation of the thermodynamics in a quantum spin-1 planar ferromagnetic chain. We also calculate the field dependence of the magnon gap and confirm the accuracy of the magnon dispersion derived earlier through a 1/n expansion. We are thus able to examine the validity of a number of previous calculations and further analyze a wide range of experiments on CsNiF 3 concerning the magnon dispersion, magnetization, susceptibility, and specific heat. Although it is not possible to account for all data with a single set of parameters, the overall qualitative agreement is good and the remaining discrepancies may reflect a departure from ideal quasi-one-dimensional model behavior. Finally, we present some indirect evidence to the effect that the popular interpretation of the excess specific heat in terms of sine-Gordon solitons may not be appropriate.

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“…20 The absence of such anomalies in the present model reinforces the need for explaining the excess specific heat in simple terms.…”

Section: A Field Perpendicular To Csupporting

confidence: 71%

Section: A Field Perpendicular To Csupporting

confidence: 71%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Magnon dispersion and thermodynamics inCsNiF3

Karadamoglou

Papanicolaou

Wang³

et al. 2001

Phys. Rev. B

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“…One therefore expects a gapless mode in the excitation spectrum corresponding to the Goldstone mode of the broken continuous symmetry which can be found explicitly by going to the next order in a 1/S expansion [316]. It may be mentioned here that spin-flop transitions in one-dimensional spin-1/2 systems have been studied earlier [317][318][319].…”

Section: (A) Quantum Annni Modelmentioning

confidence: 85%

Quantum phase transitions in transverse field spin models: from statistical physics to quantum information

Dutta¹,

Aeppli²,

Chakrabarti³

et al. 2010

Preprint

112

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We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of some paradigmatic models, namely, the spin-1/2 Ising and XY models in a transverse field in one and higher spatial dimensions. Beginning with a brief overview of quantum phase transitions, we introduce the model Hamiltonians and discuss the equivalence between the quantum phase transition in such a model and the finite temperature phase transition in a higher dimensional classical model. We then provide exact solutions in one spatial dimension connecting them to conformal field theoretical studies when possible. We also discuss Kitaev models, and some other exactly solvable spin systems in this context. Studies of quantum phase transitions in the presence of quenched randomness and with frustrating interactions are presented in details. We discuss novel phenomena like Griffiths-McCoy singularities associated with quantum phase transitions of lowdimensional transverse Ising models with random interactions and transverse fields. We then turn to more recent topics like information theoretic measures of the quantum phase transitions in these models; we elaborate on the scaling behaviors of concurrence, entanglement entropy (for both pure and random models), quantum discord and quantum fidelity close to a quantum critical point. At the same time, we discuss the decoherence (or Loschmidt echo) of a qubit coupled to a quantum critical spin chain. We then focus on non-equilibrium dynamics of a variety of transverse field systems across quantum critical points and lines. After briefly mentioning rapid quenching studies, we dwell on slow dynamics and discuss the Kibble-Zurek scaling for the defect density following a quench across critical points and its modifications for quenching across critical lines, gapless regions and multicritical points. We present a brief discussion on adiabatic perturbation theory indicating the limits of slow and sudden quenching; we introduce the concept of a generalized fidelity susceptibility in this context. Topics like the role of different quenching schemes, local quenching, quenching of models with random interactions and quenching of a spin chain coupled to a heat bath are touched upon. The connection between non-equilibrium dynamics and quantum information theoretic measures (introduced in the previous section) is presented at some length. We indicate the connection between Kibble-Zurek scaling and adiabatic evolution of a state as well as the application of adiabatic dynamics as a tool of a quantum optimization technique known as quantum annealing (or adiabatic quantum computation). The final section is dedicated to a detailed discussion on recent experimental studies of transverse Ising-like systems.

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“…Low-dimensional frustration quantum magnetic systems have attracted much attention since they exhibit strange quantum phenomena, which are closely related to the lowtemperature quantum phase transition of low-dimensional condensed matter. [1][2][3][4][5][6][7][8] Especially in the diamond-chain compound Cu 3 (CO 3 ) 2 (OH) 2 single crystal, [2] the 1/3 magnetization plateau and double peaks of magnetic susceptibility and specific heat were observed experimentally. This triggered intensive research interests in such low-dimensional magnetic chain materials.…”

Section: Introductionmentioning

confidence: 98%

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature*

Cheng¹,

Li²,

Cheng³

et al. 2021

Chinese Phys. B

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We used the Jordan–Wigner transform and the invariant eigenoperator method to study the magnetic phase diagram and the magnetization curve of the spin-1/2 alternating ferrimagnetic diamond chain in an external magnetic field at finite temperature. The magnetization versus external magnetic field curve exhibits a 1/3 magnetization plateau at absolute zero and finite temperatures, and the width of the 1/3 magnetization plateau was modulated by tuning the temperature and the exchange interactions. Three critical magnetic field intensities H CB, H CE and H CS were obtained, in which the H CB and H CE correspond to the appearance and disappearance of the 1/3 magnetization plateau, respectively, and the higher H CS correspond to the appearance of fully polarized magnetization plateau of the system. The energies of elementary excitation ℏ ω σ,k (σ = 1, 2, 3) present the extrema of zero at the three critical magnetic fields at 0 K, i.e., [ℏ ω 3,k (H CB)]min = 0, [ℏ ω 2,k (H CE)]max = 0 and [ℏ ω 2,k (H CS)]min = 0, and the magnetic phase diagram of magnetic field versus different exchange interactions at 0 K was established by the above relationships. According to the relationships between the system’s magnetization curve at finite temperatures and the critical magnetic field intensities, the magnetic field-temperature phase diagram was drawn. It was observed that if the magnetic phase diagram shows a three-phase critical point, which is intersected by the ferrimagnetic phase, the ferrimagnetic plateau phase, and the Luttinger liquid phase, the disappearance of the 1/3 magnetization plateau would inevitably occur. However, the 1/3 magnetization plateau would not disappear without the three-phase critical point. The appearance of the 1/3 magnetization plateau in the low temperature region is the macroscopic manifestations of quantum effect.

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Thermodynamics of the spin-flop transition in a quantumXYZchain

Cited by 7 publications

References 9 publications

Magnon dispersion and thermodynamics inCsNiF3

Magnon dispersion and thermodynamics inCsNiF3

Quantum phase transitions in transverse field spin models: from statistical physics to quantum information

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature*

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