The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

Caux, Jean-Sébastien; Mossel, Jorn; Castillo, Isaac Pérez

doi:10.1088/1742-5468/2008/08/p08006

Cited by 48 publications

(90 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The specific value Q ǫ is obtained from the solution of a quartic equation [24]. For SrCo 2 V 2 O 8 , Q can be written in terms of the crystallographic wavevector transfer Q ′ as Q = Q ′ c /4 = 2πl/4, where Q ′ c is the wave vector transfer in terms of the c-lattice parameter of SrCo 2 V 2 O 8 .…”

Section: Spinon Continuum At T > Tnmentioning

confidence: 99%

Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet

et al. 2017

View full text Add to dashboard Cite

Confinement is a process by which particles with fractional quantum numbers bind together to form quasiparticles with integer quantum numbers. The constituent particles are confined by an attractive interaction whose strength increases with increasing particle separation and as a consequence, individual particles are not found in isolation. This phenomenon is well known in particle physics where quarks are confined in baryons and mesons. An analogous phenomenon occurs in certain spatially anisotropic magnetic insulators. These can be thought of in terms of weakly coupled chains of spins S=1/2, and a spin flip thus carries integer spin S=1. Interestingly the collective excitations in these systems, called spinons, turn out to carry fractional spin quantum number S=1/2. Interestingly, at sufficiently low temperatures the weak coupling between chains can induce an attractive interaction between pairs of spinons that increases with their separation and thus leads to confinement. In this paper, we employ inelastic neutron scattering to investigate the spinonconfinement process in the quasi-one dimensional, spin-1/2, antiferromagnet with Heisenberg-Ising (XXZ) anisotropy SrCo2V2O8. A wide temperature range both above and below the long-range ordering temperature TN =5.2 K is explored. Spinon excitations are observed above TN in quantitative agreement with established theory. Below TN the pairs of spinons are confined and two sequences of meson-like bound states with longitudinal and transverse polarizations are observed. Several theoretical approaches are used to explain the data. These are based on a description in terms of a one-dimensional, S=1/2 XXZ antiferromagnetic spin chain, where the interchain couplings are modelled by an effective staggered magnetic mean-field. A wide range of exchange anisotropies are investigated and the parameters specific to SrCo2V2O8 are identified. A new theoretical technique based on Tangent-space Matrix Product States gives a very complete description of the data and provides good agreement not only with the energies of the bound modes but also with their intensities. We also successfully explained the effect of temperature on the excitations including the experimentally observed thermally induced resonance between longitudinal modes below TN , and the transitions between thermally excited spinon states above TN . In summary, our work establishes SrCo2V2O8 as a beautiful paradigm for spinon confinement in a quasi-one dimensional quantum magnet and provides a comprehensive picture of this process.

show abstract

Section: Spinon Continuum At T > Tnmentioning

confidence: 99%

Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet

et al. 2017

View full text Add to dashboard Cite

show abstract

“…The computational method adopted in this section for the spin-spin correlations requires an extra resolution of the identity 1 = {α} |{α} {α}| between the two spin operators in the two-point functions of Eqs. (28) and (29). For the matrix elements of S z for the isotropic case ∆ = 1, the intermediate states |{α} can contain either zero or one infinite rapidity.…”

Section: Spin-spin Correlationsmentioning

confidence: 99%

Spinon dynamics in quantum integrable antiferromagnets

Vlijm

Caux

2016

Phys. Rev. B

View full text Add to dashboard Cite

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in (quasi) one-dimensional materials. In the present work, we consider the real space-time dynamics of spinons originating from a local spin flip on the antiferromagnetic ground state of the (an)isotropic Heisenberg spin-1/2 model and the Babujan-Takhtajan spin-1 model. By utilizing algebraic Bethe ansatz methods at finite system size to compute the expectation value of the local magnetization and spin-spin correlations, spinons are visualized as propagating domain walls in the antiferromagnetic spin ordering with anisotropy dependent behavior. The spin-spin correlation after the spin flip displays a light cone, satisfying the Lieb-Robinson bound for the propagation of correlations at the spinon velocity. arXiv:1602.03745v1 [cond-mat.str-el]

show abstract

“…The TFI chain plays an important role in quantum statistical and condensed-matter physics [1,15,16], because quantitative understanding of the relevant physics can be achieved in an exact sense, based on its rigorous solvability by analytical as well as numerical methods [17][18][19][20][21][22][23][24][25]. Without magnetic field, the ground state of an isolated Ising spin chain with nearest-neighbour antiferromagnetic exchange interactions corresponds to a spin-gapped long-range antiferromagnetic order [ Fig.…”

mentioning

confidence: 99%

Quantum Criticality of an Ising-like Spin- 1/2 Antiferromagnetic Chain in a Transverse Magnetic Field

et al. 2018

View full text Add to dashboard Cite

We report on magnetization, sound-velocity, and magnetocaloric-effect measurements of the Ising-like spin-1/2 antiferromagnetic chain system BaCo_{2}V_{2}O_{8} as a function of temperature down to 1.3 K and an applied transverse magnetic field up to 60 T. While across the Néel temperature of T_{N}∼5 K anomalies in magnetization and sound velocity confirm the antiferromagnetic ordering transition, at the lowest temperature the field-dependent measurements reveal a sharp softening of sound velocity v(B) and a clear minimum of temperature T(B) at B_{⊥}^{c,3D}=21.4 T, indicating the suppression of the antiferromagnetic order. At higher fields, the T(B) curve shows a broad minimum at B_{⊥}^{c}=40 T, accompanied by a broad minimum in the sound velocity and a saturationlike magnetization. These features signal a quantum phase transition, which is further characterized by the divergent behavior of the Grüneisen parameter Γ_{B}∝(B-B_{⊥}^{c})^{-1}. By contrast, around the critical field, the Grüneisen parameter converges as temperature decreases, pointing to a quantum critical point of the one-dimensional transverse-field Ising model.

show abstract

The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

Cited by 48 publications

References 29 publications

Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet

Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet

Spinon dynamics in quantum integrable antiferromagnets

Quantum Criticality of an Ising-like Spin- 1/2 Antiferromagnetic Chain in a Transverse Magnetic Field

Contact Info

Product

Resources

About