Universal Thermodynamic Signature of Self-dual Quantum Critical Points

Abstract

Self-duality is an algebraic structure of certain critical theories, which is not encoded in the scaling dimensions and critical exponents. In this work, a universal thermodynamic signature of self-dual quantum critical points (QCPs) is proposed. It is shown that the Grüneisen ratio at a self-dual QCP remains finite as $T\to 0$, which is in sharp contrast to its universal divergence at a generic QCP without self-duality, $\Gamma (T,g_c)\sim T^{-1/z\nu }$. This conclusion is drawn based on the hyperscaling theory near the QCP, and has far-reaching implications for experiments and numerical simulations.

arXiv comment4 pages, 4 figures; v2: a new section added

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Cited by in corpus (10)

• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Duality,Hidden Symmetry and Dynamic Isomerism in 2D Hinge Structures
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Quantum Supercritical Regime with Universal Magnetocaloric Scaling in Ising Magnets
• Exact Fisher zeros and thermofield dynamics across a quantum critical point
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Finite-Size Scaling Theory at a Self-Dual Quantum Critical Point
• Divergence of the Grüneisen ratio at symmetry-enhanced first-order quantum phase transitions