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Tomonaga-Luttinger liquid in a quasi-one-dimensional $$S$$ = 1 antiferromagnet observed by specific heat measurements

Hagiwara, Masayuki*; Tsujii, Hiroyuki*; Rotundu, C. R.*; Andraka, B.*; Takano, Yasumasa*; Tateiwa, Naoyuki   ; Kobayashi, Tatsuo*; Suzuki, Takafumi*; Suga, Seiichiro*

Specific-heat experiments on single crystals of the $$S$$ = 1 quasi-one-dimensional bond-alternating antiferromagnet Ni(C$$_9$$H$$_{24}$$N$$_4$$)(NO$$_2$$)(ClO$$_4$$) (NTENP) have been performed in magnetic fields applied both parallel and perpendicular to the spin chains. We have found for the parallel field configuration that the magnetic specific heat ($$C_{rm mag}$$) is proportional to temperature ($$T$$) above a critical field $$H_c$$, at which the energy gap vanishes, in a temperature region above that of the long-range ordered state. The ratio $$C_{rm mag}$$ = $$T$$ increases as the magnetic field approaches $$H_c$$ from above. The data are in good quantitative agreement with the prediction of the $$c$$=1 conformal field theory in conjunction with the velocity of the excitations calculated by a numerical diagonalization, providing conclusive evidence for a Tomonaga-Luttinger liquid.

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Category:Physics, Multidisciplinary

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