Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains

Abstract

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, but clear signature of the field-induced spin nematic or multipolar Tomonaga-Luttinger (TL) liquid phase [Phys. Rev. B79, 060406(R) (2009)]. In this paper, we evaluate accurately the field and temperature dependence of 1/T_1 in spin-1/2 frustrated J1-J2 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 non-monotonic 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 LiCuVO4, is discussed.

11 pages (2 column), 5 figures, published version

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• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Chirality-driven ferroelectricity in LiCuVO${}_4$
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• Possible quadrupolar nematic phase in the frustrated spin chain LiCuSbO${}_4$: an NMR investigation
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Collinear Spin-density-wave Order and Anisotropic Spin Fluctuations in the Frustrated $J_1$--$J_2$ Chain Magnet NaCuMoO${}_4$(OH)
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Control of superexchange interactions with DC electric fields
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Thermal effects versus spin nematicity in a frustrated spin-1/2 chain
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Impurity effects in one dimensional spin nematic liquid
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains