scholarly journals Fluctuation-induced topological quantum phase transitions in quantum spin-Hall and anomalous-Hall insulators

2012 ◽  
Vol 86 (20) ◽  
Author(s):  
Jan Carl Budich ◽  
Ronny Thomale ◽  
Gang Li ◽  
Manuel Laubach ◽  
Shou-Cheng Zhang
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Topological Quantum ◽  
Quantum Spin Hall

TOPOLOGICAL QUANTUM PHASE TRANSITION BETWEEN QUANTUM SPIN HALL STATE AND QUANTUM ANOMALOUS HALL STATE

2011 ◽  
Vol 25 (17) ◽  
pp. 2323-2340 ◽  
Author(s):  
LAN-FENG LIU ◽  
SU-PENG KOU
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Normal Band ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Topological Order ◽  
Edge States ◽  
Topological Quantum ◽  
The Masses ◽  
Quantum Spin Hall

In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state by calculating their topological properties (edge states, quantized spin Hall conductivities, and the number of zero mode on a π-flux). We find that at the topological quantum phase transitions (TQPTs), the topological "order parameter" — spin Chern number will jump. And since the masses of the nodal fermions will change sign, the third derivative of ground-state energy is nonanalytic. In addition, we discuss the finite temperature properties and the stability of the TQPTs.

scholarly journals Quasiparticles as detector of topological quantum phase transitions

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Sourav Manna ◽  
N. S. Srivatsa ◽  
Julia Wildeboer ◽  
Anne E. B. Nielsen
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Topological Quantum

Probing topological quantum phase transitions via photonic spin Hall effects in spin-orbit coupled 2D quantum materials

2021 ◽  
Author(s):  
Muzamil Shah
Keyword(s):  
Phase Transitions ◽  
Hall Effect ◽  
Extreme Values ◽  
Optical Transition ◽  
Quantum Phase Transitions ◽  
Measurement Techniques ◽  
Quantum Phase ◽  
Spin Hall Effect ◽  
Radiation Fields ◽  
Topological Quantum

Abstract Topological photonics is an emerging field in photonics in which various topological and geometrical ideas are used to manipulate and control the behavior of light photons. The interplay between topological matter and the spin degree of freedom of photons provides new opportunities for achieving spin-based photonics applications. In this paper, the photonic spin Hall effect (PSHE) of reflected light from the surface of the topological silicene quantum systems subjected to external electric and radiation fields in the terahertz regime is theoretically investigated. By tuning the external electric and the applied laser fields, we can drive the silicenic system through different topological quantum phase transitions. We demonstrate that the in-plane and transverse spatial spin dependent shifts exhibit extreme values near Brewster’s angles and away from the optical transition frequencies. We reveal that the photonic spin Hall shifts are sensitive to the spin and valley indices as well as to the number of closed gaps. By incorporating the quantum weak value measurement techniques, the photonic spin Hall effect greatly impact the research in spinoptics, spintronics, and valleytronics.

scholarly journals Boundary criticality of topological quantum phase transitions in two-dimensional systems

2020 ◽  
Vol 101 (17) ◽  
Author(s):  
Xiao-Chuan Wu ◽  
Yichen Xu ◽  
Hao Geng ◽  
Chao-Ming Jian ◽  
Cenke Xu
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Topological Quantum

Quantum phase transitions in 1/3 plateau of the quantum spin tube

2013 ◽  
Vol 63 (3) ◽  
pp. 596-600
Author(s):  
Kouichi Okunishi ◽  
Masahiro Sato ◽  
Tôru Sakai ◽  
Kiyomi Okamoto ◽  
Chigaku Itoi
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Spin ◽  
Quantum Phase ◽  
Spin Tube
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