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Novel Quantum Criticality in Two Dimensional Topological Phase transitions
Gil Young Cho1, Eun-Gook Moon1
1Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
Scientific Reports
|January 22, 2016
Summary
We discovered novel quantum criticality in topological phase transitions by including Coulomb interactions. This reveals unique electronic behaviors beyond conventional Dirac Hamiltonian descriptions.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Many-Electron Physics
Background:
- Topological quantum phase transitions link self-similarity and wave-function topology.
- Understanding these transitions is crucial for advancing condensed matter physics.
- Conventional descriptions often rely on relativistic Dirac Hamiltonians.
Purpose of the Study:
- Investigate unconventional topological phase transitions between insulators and Dirac semimetals.
- Explore transitions beyond the scope of conventional relativistic Dirac Hamiltonians.
- Incorporate long-range Coulomb interactions to uncover novel quantum criticality.
Main Methods:
- Theoretical investigation of electronic energy dispersion.
- Analysis of anisotropic dispersion relations (linear in one momentum direction, quadratic in another).
- Incorporation of long-range Coulomb interactions into the theoretical model.
Main Results:
- Discovery of novel quantum criticality at the phase transition.
- Demonstration of anisotropic renormalization of Coulomb interaction due to interplay with electronic critical modes.
- Identification of marginally modified electronic excitations.
Conclusions:
- The study reveals a new class of quantum criticality in topological phase transitions.
- The findings extend beyond conventional Dirac Hamiltonian descriptions.
- The research offers insights into physical observables relevant for experimental verification.
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