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Takigawa, Masaharu; Asano, Takayuki; Ajiro, Yoshitami; Mekata, Mamoru; Uemura, Yohei

doi:10.1103/physrevlett.76.2173

Cited by 108 publications

(132 citation statements)

References 20 publications

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“…This type of behavior has been observed for gapped S = 1 spin chains 56 and gapless spin chains with large half-integer S. 52 More surprisingly, spin diffusion has also been observed in S = 1/2 chain compounds by NMR 54,55 and by muon spin resonance. 57 It is important to note that in the NMR experiment of Ref.…”

Section: (12)mentioning

confidence: 85%

Conservation laws, integrability, and transport in one-dimensional quantum systems

2011

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In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ model at zero magnetic field or the charge current in the attractive Hubbard model at half filling, however, the current operator does not have overlap with any of the local conserved quantities. We show that in these situations transport at finite temperatures is dominated by a diffusive contribution with the Drude weight being either small or even zero. For the XXZ model we discuss in detail the relation between our results, the phenomenological theory of spin diffusion, and measurements of the spin-lattice relaxation rate in spin chain compounds. Furthermore, we study the Haldane-Shastry model where the current operator is also orthogonal to the set of conserved quantities associated with integrability but becomes itself conserved in the thermodynamic limit.

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Section: (12)mentioning

confidence: 85%

Conservation laws, integrability, and transport in one-dimensional quantum systems

2011

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“…As in the spin-1/2 case, we can characterize spin dynamics and transport in terms of the dynamic structure factor and the dynamical conductivity; the definitions remain the same except for the obvious replacement of all spin-1/2 operators with their spin-1 counterparts. Experimental realizations of pure Heisenberg spin-1 chains are known, 13 and experimental studies of systems with randomness have also been reported in the recent literature. 14 We caution, however, that the degree of disorder needed to destroy the gapped Haldane phase of a pure spin-1 chain appears to be quite strong, 15 and that all our calculations are done only in this strong-disorder regime.…”

Section: ͑5͒mentioning

confidence: 99%

Dynamics and transport in random quantum systems governed by strong-randomness fixed points

2001

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We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature (T), low-energy behavior is controlled by strong-disorder fixed points. We obtain the momentum-and frequency-dependent dynamic structure factor in the random singlet ͑RS͒ phases of both spin-1/2 and spin-1 random antiferromagnetic chains, as well as in the random dimer and Ising antiferromagnetic phases of spin-1/2 random antiferromagnetic chains. We show that the RS phases are unusual ''spin metals'' with divergent low-frequency spin conductivity at Tϭ0, and we also follow the conductivity through ''metal-insulator'' transitions tuned by the strength of dimerization or Ising anisotropy in the spin-1/2 case, and by the strength of disorder in the spin-1 case. We work out the average spin and energy autocorrelations in the one-dimensional random transverse-field Ising model in the vicinity of its quantum critical point. All of the above calculations are valid in the frequency-dominated regime տT, and rely on previously available renormalization group schemes that describe these systems in terms of the properties of certain strong-disorder fixed-point theories. In addition, we obtain some information about the behavior of the dynamic structure factor and dynamical conductivity in the opposite ''hydrodynamic'' regime ϽT for the special case of spin-1/2 chains close to the planar limit ͑the quantum x-y model͒ by analyzing the corresponding quantities in an equivalent model of spinless fermions with weak repulsive interactions and particle-hole symmetric disorder.

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“…Values for the activation gaps ∆ 1/T 1 and ∆ χ have been quoted for a number of experimental systems [43,44,32], and it has consistently been found that ∆ 1/T 1 is larger than ∆ χ . The above theoretical results provide a natural explanation for this puzzling experimental trend.…”

Section: Dynamics In One Dimension: Application To Spin-gap Compoundsmentioning

confidence: 99%

“…We have also compared [39] the detailed H and T dependence of the 1/T 1 measurements on Ref [43] with the predictions of our theory. These measurements have enough dynamic range to explore the ballistic-diffusive crossover described above, and the results are in good agreement with theoretical predictions.…”

Section: Dynamics In One Dimension: Application To Spin-gap Compoundsmentioning

confidence: 99%

Dynamics and Transport Near Quantum-Critical Points

Sachdev

1998

Dynamical Properties of Unconventional Magnetic Systems

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Abstract. The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N )-symmetric, relativistic, quantum field theory of a N -component scalar field in d spatial dimensions. A great deal of insight is gained from a simple, exact solution of the long-time dynamics for the N = 1 d = 1 case: this model describes the critical point of the Ising chain in a transverse field, and the dynamics in all the distinct, limiting, physical regions of its finite temperature phase diagram is obtained. The N = 3, d = 1 model describes insulating, gapped, spin chain compounds: the exact, low temperature value of the spin diffusivity is computed, and compared with NMR experiments. The N = 3, d = 2, 3 models describe Heisenberg antiferromagnets with collinear Néel correlations, and experimental realizations of quantum-critical behavior in these systems are discussed. Finally, the N = 2, d = 2 model describes the superfluid-insulator transition in lattice boson systems: the frequency and temperature dependence of the the conductivity at the quantum-critical coupling is described and implications for experiments in two-dimensional thin films and inversion layers are noted.

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Dynamics in theS=1One-Dimensional Antiferromagnet AgVP2
Masaharu Takigawa
¹
,
Takayuki Asano
²
,
Yoshitami Ajiro
³

et al.

Cited by 108 publications

References 20 publications

Conservation laws, integrability, and transport in one-dimensional quantum systems

Conservation laws, integrability, and transport in one-dimensional quantum systems

Dynamics and transport in random quantum systems governed by strong-randomness fixed points

Dynamics and Transport Near Quantum-Critical Points

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Dynamics in theS=1One-Dimensional Antiferromagnet AgVP2Masaharu Takigawa1, Takayuki Asano2, Yoshitami Ajiro3 et al.

Cited by 108 publications

References 20 publications

Conservation laws, integrability, and transport in one-dimensional quantum systems

Conservation laws, integrability, and transport in one-dimensional quantum systems

Dynamics and transport in random quantum systems governed by strong-randomness fixed points

Dynamics and Transport Near Quantum-Critical Points

Contact Info

Product

Resources

About

Dynamics in theS=1One-Dimensional Antiferromagnet AgVP2
Masaharu Takigawa
¹
,
Takayuki Asano
²
,
Yoshitami Ajiro
³

et al.