Dirty higher-order Dirac semimetal: Quantum criticality and bulk-boundary correspondence

被引:23
作者
Szabo, Andras L. [1 ]
Roy, Bitan [2 ]
机构
[1] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany
[2] Lehigh Univ, Dept Phys, Bldg 16, Bethlehem, PA 18015 USA
来源
PHYSICAL REVIEW RESEARCH | 2020年 / 2卷 / 04期
关键词
Phase transitions;
D O I
10.1103/PhysRevResearch.2.043197
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the stability of time-reversal (T) and lattice fourfold (C4) symmetry breaking three-dimensional higher-order topological (HOT) Dirac semimetals (DSMs) and the associated one-dimensional hinge modes in the presence of random pointlike charge impurities. Complementary real space numerical and momentum space renormalization group (RG) analyses suggest that a HOTDSM, while being a stable phase of matter for sufficiently weak disorder, undergoes a continuous quantum phase transition into a trivial metal at finite disorder. However, the corresponding critical exponents (numerically obtained from the scaling of the density of states) are extremely close to the ones found in a dirty, but first-order DSM that on the other hand preserves T and C-4 symmetries, and support two Fermi arc surface states. This observation suggests an emergent superuniversality (insensitive to symmetries) in the entire family of dirty DSMs, as also predicted by a leading-order RG analysis. As a direct consequence of the bulk-boundary correspondence, the hinge modes in a system with open boundaries gradually fade away with increasing randomness, and completely dissolve in the trivial metallic phase at strong disorder.
引用
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页数:11
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