Field and temperature dependence of NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-12frustrated ferromagnetic chains

Abstract

It is generally difficult experimentally to 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 but clear signature of the field-induced spin nematic or multipolar Tomonaga-Luttinger (TL) liquid phase [Phys. Rev. B 79, 060406(R) (2009)]. In this paper, we evaluate accurately the field and temperature dependence of 1/T 1 in spin-1 2 frustrated J 1 -J 2 chains combining field-theoretical techniques with numerical data. Our results demonstrate that isotherms of 1/T 1 as a function of magnetic field also exhibit distinctive nonmonotonic behavior in spin nematic TL liquid, in contrast with the standard TL liquid in the spin-1 2 Heisenberg chain. The relevance of our results to quasi-one-dimensional edge-sharing cuprate magnets, such as LiCuVO 4 , is discussed.

Rb-NMR study of the quasi-one-dimensional competing spin-chain compound Rb2Cu2Mo3Matsui1, Yagi2, Hoshino3 et al. 2017Phys. Rev. B164150View full textAdd to dashboardCite

“…This indicates that the 1 2 ⁄ −1 term, which corresponds to the transverse component of spin correlation is actually suppressed and does not contributes to 1 1 ⁄ , and hence leads immediately one to the conclusion that the system is in the nematic TLL state at the higher field region [13,14]. With this conclusion, one can proceed and obtain the field dependence of , which is shown in Fig.…”

“…One of the difficulties in studying the nematic state lies in the fact that it requires probing four spin-correlation functions with high accuracy [5,[13][14][15].…”

“…3. Note that in order to compare with theories, the abscissa is converted to the uniform magnetization, where the saturation value is defined as 0.5 [13,14]. With increasing field from zero, decreases first and takes minimum of 0.25 and then increases, heading toward unity in the high field region.…”

“…In order to overcome this difficulty, Sato et al proposed a unique procedure with NMR technique to detect the nematic TLL state [13,14]. [18,19].…”

Temperature dependence of the NMR spin-lattice relaxation rate for spin-12chains

“…These materials have the advantage over previously studied ones in that they can be manipulated by the application of experimentally reachable magnetic fields, from zero magnetization to full saturation. This tunability opens the possibility to investigate new physics such as the universality of the TLL [8][9][10], and to use these magnetic systems as quantum simulators [2] for other quantum systems such as itinerant bosons [11][12][13][14][15]. Since in these materials the exchange energy scale is now much closer to the typical measurement temperatures, it invalidates partly, or pushes to very low temperatures, the above-mentioned approximations.…”