Gruneisen ratio quest for self-duality of quantum criticality in a spin-1/2 XY chain with Dzyaloshinskii-Moriya interaction

The quantum phase transition (QPT) and quantum criticality of an anisotropic spin-1/2 XY chain under the interplay of magnetic field and Dzyaloshinskii-Moriya (DM) interaction, which is interpreted as an electric field, are investigated, wherein the anisotropic parameter plays a similar role as the superconducting pairing gap in the interacting Kitaev topological superconductor model that protects the topological order. It is shown that the thermal Drude weight is a good quantity to characterize the gapped (D (th) = 0) and gapless (D (th) > 0) ground states. The continuous QPT is marked by a quantum critical point (QCP) associated with entropy accumulation, which is manifested by a characteristic Guneisen ratio (GR) with or without self-duality symmetry. It is shown that at a self-dual QCP, the GR keeps a finite value as T -> 0, while at a general QCP without self-duality symmetry, it displays a power-law temperature dependent divergence: Gamma(T,r ( c )) similar to +/- T (-1), which provides a novel thermodynamic means for probing QPT.