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A thermodynamic quest for topological metal transition
by Linjie Ding, Yuan Zhong
Submission summary
Authors (as registered SciPost users): | L. J. Ding |
Submission information | |
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Preprint Link: | scipost_202406_00053v1 (pdf) |
Date submitted: | 2024-06-22 04:02 |
Submitted by: | Ding, L. J. |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
We study the topological quantum phase transition (TQPT) between a normal insulator and a topological metal state in the three-leg diamond lattices via thermodynamic means. Doing a unitary transformation, the Hilbert space of the system is divided into two independent subspaces: trivial h1 and topologically nontrivial h2 such that the TQPT is regarded as an ordinary insulator-metal transition plus a topological insulator transition. The thermal Drude weight portrays well the insulator (Dth=0) and metal (Dth>0) ground states with the low-temperature gapped and gapless low-lying excitations featured asandlinear relation, respectively. The ordinary insulator-metal transition is manifested not only by the quantum critical scaling of thermal Drude weight, but also by the critical divergence of Grüneisen ratio (GR~-T-1) with an asymmetric scaling universal curve. Differently, the topological insulator transition occurs in h2 subspace protected by a hidden inversion symmetry, which is demonstrated by the switching of winding number with band inversion as well as the finite GR nearby 1/2 with a symmetric scaling universal curve, implying the proximate self-duality of quantum critical point. Our findings provide a novel thermodynamic perspective on topological metal transition.
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
Anonymous on 2024-08-13 [id 4692]
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