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

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

2011-10-25

arxiv.org/abs/1110.5653v2

Phys. Rev. Lett. 108, 097201 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.108.097201

Using micromechanical force magnetometry, we have measured the magnetization of the strong-leg spin-1/2 ladder compound (C$_7$H$_{10}$N)$_2$CuBr$_2$ at temperatures down to 45 mK. Low-temperature magnetic susceptibility as a function of field exhibits a maximum near the critical field H_c at which the magnon gap vanishes, as expected for a gapped one-dimensional antiferromagnet. Above H_c 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 R_W. The result supports the relation R_W=4K, where K is the Tomonaga-Luttinger-liquid parameter.

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