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In response to recent proton spin relaxation-time measurements on NiCu(pba)(H$_2$O)$_3$$\cdot$2H$_2$O with ${pba}=1,3{-propylenebis(oxamato)}$, which is an excellent one-dimensional ferrimagnetic Heisenberg model system of spin-$(1,{1/2})$,…

Strongly Correlated Electrons · Physics 2009-10-31 Shoji Yamamoto

Nuclear spin-lattice relaxation in one-dimensional Heisenberg ferrimagnets is studied by means of a modified spin-wave theory. Calculating beyond the first-order mechanism, where a nuclear spin directly interacts with spin waves through the…

Strongly Correlated Electrons · Physics 2015-06-25 Shoji Yamamoto , Hiromitsu Hori

In response to recent nuclear-magnetic-resonance measurements on a ferrimagnetic chain compound NiCu(C_7H_6N_2O_6)(H_2O)_3 2H_2O [Solid State Commun. {\bf 113} (2000) 433], we calculate the nuclear spin-lattice relaxation rate 1/T_1 in…

Strongly Correlated Electrons · Physics 2009-10-31 Shoji Yamamoto

Recent proton spin-lattice relaxation-time (T_1_) measurements on the ferrimagnetic chain compound NiCu(C_7_H_6_N_2_O_6_)(H_2_O)_3_2H_2_O are explained by an elaborately modified spin-wave theory. We give a strong evidence of the major…

Strongly Correlated Electrons · Physics 2009-11-10 Hiromitsu Hori , Shoji Yamamoto

We make a modified spin-wave description of the nuclear spin relaxation in Heisenberg alternating-spin chains with antiferromagnetic exchange coupling. In contrast with the conventional one-dimensional antiferromagnetic spin-wave theory,…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto

The spin-lattice relaxation rate $1/T_1$ and the spin echo decay rate $1/T_{2G}$ for the spin-$1\over 2$ antiferromagnetic Heisenberg chain are calculated using quantum Monte Carlo and maximum entropy analytic continuation. The results are…

Condensed Matter · Physics 2009-10-28 Anders W. Sandvik

A new theory is proposed to interpret nuclear spin-lattice relaxation-time (T_1_) measurements on the spin-1 quasi-one-dimensional Heisenberg antiferromagnet Ni(C_2_H_8_N_2_)_2_NO_2_(ClO_4_) (NENP). While Sagi and Affleck pioneeringly…

Statistical Mechanics · Physics 2009-11-10 Shoji Yamamoto , Hiromitsu Hori

Nuclear relaxation in half-integer spin chains at low temperatures (T << J, the antiferromagnetic exchange constant) is dominated by dissipation from a gas of thermally-excited, overdamped, spinons. The universal low temperature dependence…

Condensed Matter · Physics 2009-10-22 Subir Sachdev

The spin-lattice relaxation rate $T_{1}^{-1}$ and NMR spectra of $^1$H in single crystal molecular magnets of Fe8 have been measured down to 15 mK. The relaxation rate $T_1^{-1}$ shows a strong temperature dependence down to 400 mK. The…

Condensed Matter · Physics 2009-11-07 Miki Ueda , Satoru Maegawa , Susumu Kitagawa

Motivated by ferrimagnetic oligonuclear and chain compounds synthesized by Caneschi et al., both of which consist of alternating manganese(II) ions and nitronyl-nitroxide radicals, we calculate the nuclear spin-lattice relaxation rate 1/T_1…

Strongly Correlated Electrons · Physics 2009-11-10 Hiromitsu Hori , Shoji Yamamoto

Nuclear spin-lattice relaxation in one-dimensional Heisenberg ferrimagnets is studied by means of a modified spin-wave theory. We consider the second-order process, where a nuclear spin flip induces virtual spin waves which are then…

Statistical Mechanics · Physics 2009-11-10 Hiromitsu Hori , Shoji Yamamoto

Measurements of the spin-lattice relaxation rate 1/T_1 by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr_2CuO_3 have provided evidence for a diffusion-like contribution at finite temperature and small…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

We present a careful analysis of the temperature dependence of the nuclear spin-lattice relaxation rate $1/T_1$ in gapped quasi-1D Heisenberg antiferromagnets. It is found that in order to estimate the value of the gap correctly from…

Strongly Correlated Electrons · Physics 2007-05-23 R. Melzi , P. Carretta

The proton hyperfine shift K and NMR relaxation rate $1/T_1$ have been measured as a function of temperature in the S=1/2 Heisenberg antiferromagnetic ladder Cu2(C5H12N2)2Cl4. The presence of a spin gap $\Delta \simeq J_\perp-J_\parallel$…

Strongly Correlated Electrons · Physics 2009-10-30 G. Chaboussant , M. -H. Julien , Y. Fagot-Revurat , L. P. Levy , C. Berthier , M. Horvatic , O. Piovesana

The negatively charged boron vacancy $V_B^-$ defect in hexagonal boron nitride (hBN) has recently emerged as a promising spin qubit for sensing due to its high-temperature spin control and versatile integration into van der Waals…

Quantum Physics · Physics 2025-11-24 Chanaprom Cholsuk , Tobias Vogl , Viktor Ivády

We consider the low-temperature behavior of NMR relaxation rates $T_1$ and $T_{2G}$ in the spin-1/2 antiferromagnetic chain. We find that $T_1 \propto const$ and $T_{2G} \propto \sqrt{T}$, with logarithmic corrections. We determine both…

Strongly Correlated Electrons · Physics 2009-10-31 V. Barzykin

We consider the isotropic $S=1$ Heisenberg chain with a finite Haldane gap $\Delta$ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation…

Strongly Correlated Electrons · Physics 2019-09-19 Sylvain Capponi , Maxime Dupont , Anders W. Sandvik , Pinaki Sengupta

The nuclear spin-lattice relaxation time $T_1$ of $^{31}P$ nuclei in the title compound is measured for the first time and interpreted in terms of a modified spin-wave theory. We establish a novel scenario for one-dimensional ferrimagnetic…

Nuclear magnetic resonance (NMR) measurements of the 29Si spin-lattice relaxation time T1 were used to probe the spin-1/2 random Heisenberg chain compound BaCu2(Si(1-x)Gex)2O7. Remarkable differences between the pure (x = 0) and the fully…

Strongly Correlated Electrons · Physics 2015-03-17 T. Shiroka , F. Casola , V. Glazkov , A. Zheludev , K. Prsa , H. -R. Ott , J. Mesot

We study the nuclear spin-lattice relaxation rate $1/T_1$ in the two-leg antiferromagnetic spin-1/2 Heisenberg ladder. More specifically, we consider the contribution to $1/T_1$ from the processes with momentum transfer $(\pi,\pi)$. In the…

Condensed Matter · Physics 2009-10-31 D. A. Ivanov , Patrick A. Lee
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