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We present results of numerical simulations performed on one-dimensional spin chains in order to extract the so-called relaxation rate $1/T_1$ accessible through NMR experiments. Building on numerical tensor network methods using the Matrix…

Strongly Correlated Electrons · Physics 2016-10-14 Maxime Dupont , Sylvain Capponi , Nicolas Laflorencie

We study the nuclear magnetic resonance (NMR) spin-lattice relaxation rate $1/T_1$ in random one-dimensional spin chains as function of the temperature and disorder strength. In the zero temperature limit, the system displays a…

Strongly Correlated Electrons · Physics 2019-06-05 Maxime Dupont

Thermal motion of the flux lines (FL) gives rise to fluctuating magnetic fields. These dynamic fields couple to the nuclei in the sample and relax the nuclear spins. Based on a model of harmonic fluctuations, we provide a theoretical…

Condensed Matter · Physics 2009-10-22 Lei Xing , Yia-Chung Chang

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 have extended the canonical tree tensor network (TTN) method, which was initially introduced to simulate the zero-temperature properties of quantum lattice models on the Bethe lattice, to finite temperature simulations. By representing…

Strongly Correlated Electrons · Physics 2019-09-18 Dai-Wei Qu , Wei Li , Tao Xiang

In this work we propose a series-expansion thermal tensor network (SETTN) approach for efficient simulations of quantum lattice models. This continuous-time SETTN method is based on the numerically exact Taylor series expansion of…

Strongly Correlated Electrons · Physics 2017-04-12 Bin-Bin Chen , Yun-Jing Liu , Ziyu Chen , Wei Li

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

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

Numerical annealing and renormalization group have conceived various successful approaches to study the thermodynamics of strongly-correlated systems where perturbation or expansion theories fail to work. As the process of lowering the…

Quantum Physics · Physics 2022-05-02 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

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

Recent experimental and theoretical studies have established that the spin-lattice relaxation rate, $1/T_1$, measured in nuclear magnetic resonance (NMR) experiments is a site-sensitive probe for the electronic spectrum in the mixed state…

Superconductivity · Physics 2009-10-31 Dirk K. Morr

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

There is now strong theoretical evidence that a wide range of frustrated magnets should support quantum spin-nematic order in applied magnetic field. Nonetheless, the fact that spin-nematic order does not break time-reversal symmetry makes…

Strongly Correlated Electrons · Physics 2016-05-18 Andrew Smerald , Nic Shannon

Measurements of proton Nuclear Magnetic Resonance (1H NMR) spectra and relaxation and of Muon Spin Relaxation ($\mu^{+}$SR) have been performed as a function of temperature and external magnetic field on two isostructural lanthanide…

Materials Science · Physics 2019-11-20 E. Lucaccini , L. Sorace , F. Adelnia , S. Sanna , P. Arosio , M. Mariani , S. Carretta , Z. Salman , F. Borsa , A. Lascialfari

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

To investigate the static and dynamic magnetic properties on the uranium-based superconductor UTe$_{2}$, we measured the NMR Knight shift $K$ and the nuclear spin-lattice relaxation rate $1/T_{1}$ in $H \parallel a$ by $^{125}$Te-NMR on a…

Numerical simulations of strongly correlated fermions at finite temperature are essential for studying high-temperature superconductivity and other quantum many-body phenomena. The recently developed tangent-space tensor renormalization…

Strongly Correlated Electrons · Physics 2026-03-03 Qiaoyi Li , Dai-Wei Qu , Bin-Bin Chen , Tao Shi , Wei Li

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

$^{11}B$ NMR and nuclear spin-lattice relaxation rate (NSLR) are reported at 7.2 Tesla and 1.4 Tesla in powder samples of the intermetallic compound $MgB_2$ with superconducting transition temperature in zero field $T_c$ = 39.2 K. From the…

Superconductivity · Physics 2009-11-07 J. K. Jung , Seung Ho Baek , F. Borsa , S. L. Bud'ko , G. Lapertot , P. C. Canfield

The magnetic interactions between the spin of an unpaired electron and the surrounding nuclear spins can be exploited to gain structural information, to reduce nuclear relaxation times as well as to create nuclear hyperpolarization via…

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