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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

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 theoretical interpretation is given to recent proton spin relaxation-time (T_1) measurements on NiCu(C_7H_6N_2O_6)(H_2O)_3$\cdot$2H_2O, which is an ideal one-dimensional ferrimagnetic Heisenberg model system of alternating spins 1 and…

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

1H nuclear magnetic resonance (NMR) measurements in [YPc2]0, an organic compound formed by radicals stacking along chains, are presented. The temperature dependence of the macroscopic susceptibility, of the NMR shift and of the spin-lattice…

Strongly Correlated Electrons · Physics 2015-05-20 F. Branzoli , P. Carretta , M. Filibian , S. Klyatskaya , M. Ruben

We use recent developments in the framework of time dependent matrix product state method (t-MPS) to compute the NMR relaxation rate $1/T_1$ for spin-1/2 chains under magnetic field and for different Hamiltonians (XXX, XXZ, isotropically…

Strongly Correlated Electrons · Physics 2016-11-08 E. Coira , P. Barmettler , T. Giamarchi , C. Kollath

Low-frequency spin dynamics in the S=1/2 antiferromagnetic spin-chain compound \alpha-VO(PO_3)_2 has been studied by means of 31P NMR. The nuclear spin-lattice relaxation rate 1/T_1 at the P site exhibits H^{-1/2} dependence on the applied…

Strongly Correlated Electrons · Physics 2009-11-07 Jun Kikuchi , Naohiko Kurata , Kiyoichiro Motoya , Touru Yamauchi , Yutaka Ueda

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

We investigate NMR relaxation rates 1/T_1 of quantum spin chains in magnetic fields. Universal properties for the divergence behavior of 1/T_1 are obtained in the Tomonaga-Luttinger-liquid state. The results are discussed in comparison with…

Strongly Correlated Electrons · Physics 2009-11-11 Takahumi Suzuki , Sei-ichiro Suga

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

We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in transverse field at temperatures well below the energy gap. We find that the imaginary part is dominated by rare quantum processes in…

Strongly Correlated Electrons · Physics 2019-02-06 Julia Steinberg , N. P. Armitage , Fabian H. L. Essler , Subir Sachdev

Using the transfer-matrix DMRG method, we study the nuclear spin relaxation rate 1/T_1 in the two-leg s=1/2 ladder as function of the inter-chain (J_{\perp}) and intra-chain (J_{|}) couplings. In particular, we separate the q_y=0 and \pi…

Strongly Correlated Electrons · Physics 2009-10-31 F. Naef , Xiaoqun Wang

Recently, it has been shown that spin nematic (quadrupolar) or higher multipolar correlation functions exhibit a quasi long-range order in the wide region of the field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1/2 zigzag chains.…

Strongly Correlated Electrons · Physics 2009-02-17 Masahiro Sato , Tsutomu Momoi , Akira Furusaki

Local-susceptibility measurements via the NMR shifts of $^{31}$P and $^{51}$V nuclei in the high-pressure phase of (VO)$_{2}$P$_{2}$O$_{7}$ confirmed the existence of a unique alternating antiferromagnetic chain with a zero-field spin gap…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kikuchi , K. Motoya , T. Saito , M. Azuma , M. Takano

It is generally difficult to experimentally distinguish magnetic multipolar orders in spin systems. Recently, it was proposed that the temperature dependence of the nuclear magnetic resonance relaxation rate 1/T_1 can involve an indirect,…

Strongly Correlated Electrons · Physics 2011-02-14 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi

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

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 NMR relaxation rate and the static spin susceptibility in graphene are studied within a tight-binding description. At half filling, the NMR relaxation rate follows a power law as $T^2$ on the particle-hole symmetric side, while with a…

Strongly Correlated Electrons · Physics 2008-02-19 Tianxing Ma , Balázs Dóra

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

$^{235}$U nuclear spin-lattice ($T_1^{-1}$) and spin-spin ($T_2^{-1}$) relaxation rates in the itinerant antiferromagnet USb$_2$ are reported as a function of temperature in zero field. The heating effect from the intense rf pulses that are…

Strongly Correlated Electrons · Physics 2010-02-24 S. -H. Baek , N. J. Curro , H. Sakai , E. D. Bauer , J. C. Cooley , J. L. Smith

In the spin-1/2 frustrated chain with nearest-neighbor ferromagnetic exchange J1 and next-nearest-neighbor antiferromagnetic exchange J2 under magnetic field, magnetic multipolar-liquid (quadrupolar, octupolar, and hexadecapolar) phases are…

Strongly Correlated Electrons · Physics 2015-03-17 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi
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