Tuning magnetism and topology in topological insulators with broken time reversal symmetry

Author(s):  
Yayu Wang
2021 ◽  
Vol 24 (4) ◽  
pp. 43701
Author(s):  
W. Zhao ◽  
L. Ding ◽  
B. Zhou ◽  
J. Wu ◽  
Y. Bai ◽  
...  

In this paper, we present a detailed study on the phase diagrams of superconducting topological surface states, especially, focusing on the interplay between crystalline symmetry and topology of the effective BdG Hamiltonian. We show that for the 4 x 4 kinematic Hamiltonian of the normal state, a mirror symmetry M can be defined, and for the M-odd pairings, the classification of the 8 x 8 BdG Hamiltonian is ℤ⊕ℤ, and the time-reversal symmetry is broken intrinsically. The topological non-trivial phase can support chiral Majorana edge modes, and can be realized in the thin films of iron-based superconductor such as FeSeTe.


MRS Bulletin ◽  
2014 ◽  
Vol 39 (10) ◽  
pp. 867-872 ◽  
Author(s):  
Cui-Zu Chang ◽  
Peng Wei ◽  
Jagadeesh S. Moodera

Abstract


Nanoscale ◽  
2014 ◽  
Vol 6 (23) ◽  
pp. 14133-14140 ◽  
Author(s):  
Jie Shen ◽  
Judy J. Cha

Topological crystalline insulators are topological insulators whose surface states are protected by the crystalline symmetry, instead of the time reversal symmetry.


2015 ◽  
Vol 1 (10) ◽  
pp. e1500740 ◽  
Author(s):  
Ella O. Lachman ◽  
Andrea F. Young ◽  
Anthony Richardella ◽  
Jo Cuppens ◽  
H. R. Naren ◽  
...  

Quantized Hall conductance is a generic feature of two-dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is believed to be broken by long-range ferromagnetic order, with quantized resistance observed even at zero external magnetic field. We use scanning nanoSQUID (nano–superconducting quantum interference device) magnetic imaging to provide a direct visualization of the dynamics of the quantum phase transition between the two anomalous Hall plateaus in a Cr-doped (Bi,Sb)2Te3 thin film. Contrary to naive expectations based on macroscopic magnetometry, our measurements reveal a superparamagnetic state formed by weakly interacting magnetic domains with a characteristic size of a few tens of nanometers. The magnetic phase transition occurs through random reversals of these local moments, which drive the electronic Hall plateau transition. Surprisingly, we find that the electronic system can, in turn, drive the dynamics of the magnetic system, revealing a subtle interplay between the two coupled quantum phase transitions.


2014 ◽  
Vol 113 (11) ◽  
Author(s):  
A. Alexandradinata ◽  
Chen Fang ◽  
Matthew J. Gilbert ◽  
B. Andrei Bernevig

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