Wilson ratio of a Tomonaga-Luttinger liquid in a spin-1/2 Heisenberg ladder

Abstract

Using micromechanical force magnetometry, we have measured the magnetization of the strong-leg spin-1/2 ladder compound (C7H10N)2CuBr2 at temperatures down to 45 mK. Low-temperature magnetic susceptibility as a function of field exhibits a maximum near the critical field Hc at which the magnon gap vanishes, as expected for a gapped one-dimensional antiferromagnet. Above Hc a clear minimum appears in the magnetization as a function of temperature as predicted by theory. In this field region, the susceptibility in conjunction with our specific heat data yields the Wilson ratio RW. The result supports the relation RW=4K, where K is the Tomonaga-Luttinger-liquid parameter.

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