<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>63</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>nuclear relaxation in the spin-Peierls compound CuGe<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml

Itoh, Masatoshi; Sugahara, M.; Yamauchi, Touru; Ueda, Yutaka

doi:10.1103/physrevb.54.r9631

Cited by 15 publications

(23 citation statements)

References 21 publications

(26 reference statements)

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“…39 A Gaussian relaxation rate 1 / T 2G was found for 1D HAFs as well. 6,40 Sachdev obtained the dependence of the NMR relaxation rates on the dynamical susceptibility ͑q , ͒ for 1D HAFs using spinon excitations 5 and deduced NMR relaxation rates 1/T 1 ͑T͒ and 1 / T 2G ͑T͒ in the limit T Ӷ J. For the dominant part of the electronic susceptibility at low T-namely, the staggered susceptibility s ͑q = , ͒-it has been deduced 6 for H ʈ z,…”

Section: E Discussionmentioning

confidence: 99%

NMR study of lineshifts and relaxation rates of the one-dimensional antiferromagnetLiCuVO4

et al. 2006

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NMR measurements were performed on single-crystalline samples of the one-dimensional Heisenberg antiferromagnet ͑1D HAF͒ LiCuVO 4 . We investigated 7 Li and 51 V NMR spectra, deduced the respective lineshifts K͑T͒, spin-lattice relaxation rates 1 / T 1 , and spin-spin relaxation rates 1 / T 2 and 1 / T 2G . The results are compared to theoretical predictions for the relaxation rates 1 / T 1 ͑T͒ and 1 / T 2G ͑T͒ deduced from the dynamic susceptibility ͑q , ͒ of a 1D HAF spin chain as proposed by Sachdev ͓Phys. Rev. B 50, 13006 ͑1994͔͒. We document a correspondence between the anisotropic relaxation rates derived from electron paramagnetic resonance linewidth ⌬H͑T͒ and nuclear magnetic resonance 1 / T 1 ͑T͒, respectively, the former being well described in the framework of symmetric anisotropic exchange interactions for LiCuVO 4 by Krug von Nidda et al. ͓Phys. Rev. B 65, 134445 ͑2002͔͒.

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Section: E Discussionmentioning

confidence: 99%

NMR study of lineshifts and relaxation rates of the one-dimensional antiferromagnetLiCuVO4

et al. 2006

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“…7͒ in CuGeO 3 . 3 The fit is very satisfactory, which we take as evidence for the reliability of our theory. The best fit yields BϭϪ7.5 kOe/ B .…”

Section: Comparison With Experimentsmentioning

confidence: 71%

“…Onsite hyperfine couplings A Ќ and A ʈ are determined in the principal axes of the g tensor: A x ϭA y ϭA Ќ and A Z ϭA ʈ in CuGeO 3 . 25 In 1DHAF, there are only two channels of magnetic relaxation: those induced by excitations with qӍ0 and qӍ. We thus write…”

Section: Nuclear Spin-lattice Relaxationmentioning

confidence: 99%

“…Such a behavior of the relaxation rate with temperature has not been observed in CuGeO 3 . Instead, the nuclear quadrupole resonance ͑NQR͒ experiments 3 show that, in the uniform state, 1/T 1 varies approximately linearly with temperature. Moreover, Castilla, Chakravarty, and Emery 4 have argued that the 1DHAF model with the competing NNN antiferromagnetic ͑AF͒ interaction is more appropriate for the description of the magnetic properties of CuGeO 3 .…”

Section: Introductionmentioning

confidence: 97%

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Theory of the copper nuclear spin-lattice relaxation inCuGeO3

2000

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Within the framework of the one-dimensional Sϭ1/2 Heisenberg model with a next-nearest-neghbor antiferromagnetic interaction, a theory of the copper spin-lattice relaxation in the uniform state of the spin-Peierls compound CuGeO 3 is presented. The main contribution to the relaxation rate at intermediate and high temperatures is due to the spin diffusive long-wave processes. A comparison of our results with experimental data shows that the theory is able to reproduce the main features of the temperature dependence of the copper relaxation rate.

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“…On the other hand, the longitudinal component (I z i I z j ) of the SN interaction can survive even at low temperatures, which is characterized by the antiferromagnetic spin-spin correlation function in the ground state (see §IV) [17,18,19]. This interaction, however, is short-ranged because the spin-spin correlation function decays exponentially as a function of the distance, so that the interaction can reach only a few lattice points [20].…”

Section: Modelmentioning

confidence: 99%

Decoupling-free NMR quantum computer on a quantum spin chain

et al. 2003

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A method of switching a controlled-NOT gate in a solid-stae NMR quantum computer is presented. Qubits of I = 1/2 nuclear spins are placed periodically along a quantum spin chain (1-D antiferromagnet) having a singlet ground state with a finite spin gap to the lowest excited state caused by some quantum effect. Irradiation of a microwave tuned to the spin gap energy excites a packet of triplet magnons at a specific part of the chain where control and target qubits are involved. The packet switches on the Suhl-Nakamura interaction between the qubits, which serves as a controlled NOT gate. The qubit initialization is achieved by a qubit initializer consisting of semiconducting sheets attached to the spin chain, where spin polarizations created by the optical pumping method in the semiconductors are transferred to the spin chain. The scheme allows us to separate the initialization process from the computation, so that one can optimize the computation part without being restricted by the initialization scheme, which provides us with a wide selection of materials for a quantum computer.

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Cu63nuclear relaxation in the spin-Peierls compound CuGeO

Cited by 15 publications

References 21 publications

NMR study of lineshifts and relaxation rates of the one-dimensional antiferromagnetLiCuVO4

NMR study of lineshifts and relaxation rates of the one-dimensional antiferromagnetLiCuVO4

Theory of the copper nuclear spin-lattice relaxation inCuGeO3

Decoupling-free NMR quantum computer on a quantum spin chain

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