The low-temperature heat capacity of a quasi-one-dimensional conductor in the Luttinger liquid state is studied for conductors with a charge density wave and without it. It is shown that pinning of the Luttinger liquid leads to localization of spins and a strong effect of the magnetic field on the thermodynamics of samples resembling the effect observed in recent experiments. We believe that this indicates the possibility of the formation of a Luttinger liquid in quasi-one-dimensional crystals.
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