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Arai, M.; Fujita, M.; Motokawa, M.; Akimitsu, Jun; Bennington, S. M.

doi:10.1103/physrevlett.77.3649

Cited by 109 publications

(87 citation statements)

References 21 publications

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“…In experimental studies the two-spinon continuum characteristic for the one-dimensional geometry has been verified in the dynamical structure factor, see for instance [9]. Some other properties probing the critical properties of the system comprise corrections to the low-temperature asymptotics in for instance the susceptibility [10].…”

Section: Introductionmentioning

confidence: 99%

The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents

1998

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We present numerical and analytical results for the thermodynamical properties of the spin-1/2 Heisenberg chain at arbitrary external magnetic field. Special emphasis is placed on logarithmic corrections in the susceptibility and specific heat at very low temperatures (T /J = 10 −24 ) and small fields. A longstanding controversy about the specific heat is resolved. At zero temperature the spin-Peierls exponent is calculated in dependence on the external magnetic field. This describes the energy response of the system to commensurate and incommensurate modulations of the lattice. The exponent for the spin gap in the incommensurate phase is given.

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Section: Introductionmentioning

confidence: 99%

The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents

1998

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“…Some quasi-1D antiferromagnetic compounds, of which CuGeO 3 is the most prominent example, [8][9][10] are susceptible to a spin-Peierls transition, which involves a lattice distortion accompanied by an exchange dimerization. The dimer fluctuations, D q ϭN Ϫ1/2 ͚ n e iqn S n •S nϩ1 , as captured by the dynamic dimer structure factor…”

Section: Introductionmentioning

confidence: 99%

Quasiparticles governing the zero-temperature dynamics of the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field

2002

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The Tϭ0 dynamical properties of the one-dimensional ͑1D͒ sϭ 1 2 Heisenberg antiferromagnet in a uniform magnetic field are studied via the Bethe ansatz for cyclic chains of N sites. The ground state at magnetization 0ϽM z ϽN/2, which can be interpreted as a state with 2M z spinons or as a state of N/2ϪM z magnons, is reconfigured here as the vacuum for a different species of quasiparticles, the psinons and antipsinons. We investigate three kinds of quantum fluctuations, namely the spin fluctuations parallel and perpendicular to the direction of the applied magnetic field and the dimer fluctuations. The dynamically dominant excitation spectra are found to be sets of collective excitations composed of two quasiparticles excited from the psinon vacuum in different configurations. The Bethe ansatz provides a framework for ͑i͒ the characterization of the new quasiparticles in relation to the more familiar spinons and magnons, ͑ii͒ the calculation of spectral boundaries and densities of states for each continuum, ͑iii͒ the calculation of transition rates between the ground state and the dynamically dominant collective excitations, ͑iv͒ the prediction of line shapes for dynamic structure factors relevant for experiments performed on a variety of quasi-1D antiferromagnetic compounds, including KCuF 3 ,

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“…28). The qualitative characteristics of two-spinon excitations, a continuum-like spectrum with linearly dispersing low-energy onset, are evidenced by inelastic neutron scattering on numerous compounds [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] . Among them, there are various quantitative attempts of an absolute comparison to theory 30,37,41 .…”

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Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

et al. 2013

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One of the simplest quantum many-body systems is the spin-1/2 Heisenberg antiferromagnetic chain, a linear array of interacting magnetic moments. Its exact ground state is a macroscopic singlet entangling all spins in the chain. Its elementary excitations, called spinons, are fractional spin-1/2 quasiparticles created and detected in pairs by neutron scattering. Theoretical predictions show that two-spinon states exhaust only 71% of the spectral weight and higher-order spinon states, yet to be experimentally located, are predicted to participate in the remaining. Here, by accurate absolute normalization of our inelastic neutron scattering data on a spin-1/2 Heisenberg antiferromagnetic chain compound, we account for the full spectral weight to within 99(8)%. Our data thus establish and quantify the existence of higher-order spinon states. The observation that, within error bars, the experimental line shape resembles a rescaled two-spinon one with similar boundaries allows us to develop a simple picture for understanding multi-spinon excitations.O ne hundred years ago, Max von Laue and co-workers discovered X-ray diffraction 1 , thereby giving birth to the field of crystallography to which we owe much of our understanding of materials on the atomic scale. The very first diffraction image was recorded from a single crystal of copper sulphate pentahydrate 1,2 . In addition to vast practical use including herbicide, wood impregnation and algae control in swimming pools, copper sulphate also carries great educational importance. Generations of school children have been inspired in chemistry classes across the globe by growing from evaporating solution beautiful blue crystals of copper sulphate (in 2008, artist Roger Hiorns created an installation called Seizure 3 covering an entire apartment in copper sulphate crystals). When cooled close to absolute zero temperature, copper sulphate has even more fascinating lessons to teach-it becomes a quantum spin liquid. Moreover, it materializes one of the simplest models hosting complex quantum many-body physics, the one-dimensional spin-1/2 Heisenberg antiferromagnet, for which there exists an exact analytic solution-namely the Bethe ansatz 4 . Quantum spin liquid ground states entangle a macroscopic number of spins and give rise to astonishing and counterintuitive phenomena. Quantum spin liquids occur in a variety of contexts ranging from the quantum spin Hall effect 5,6 and high-T c superconductivity 7-9 to confined ultracold gases and carbon nanotubes 10 . A particularly clear form of a gapless algebraic quantum spin liquid is realized in a one-dimensional array of spins-1/2 that are coupled by nearest-neighbour isotropic exchange, the spin-1/2 Heisenberg antiferromagnetic chain. At zero temperature, this spin liquid is critical with respect to long-range antiferromagnetic order as well as with respect to dimerization 11,12 . Its emerging gapless fractionalized excitations are called spinons 13 . The concept of fractional excitations has been applied to magnetic monopoles ...

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Quantum Spin Excitations in the Spin-Peierls System CuGeO3

Cited by 109 publications

References 21 publications

The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents

The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents

Quasiparticles governing the zero-temperature dynamics of the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

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