scholarly journals Quantum criticality of topological phase transitions in three-dimensional interacting electronic systems

2014 ◽  
Vol 10 (10) ◽  
pp. 774-778 ◽  
Author(s):  
Bohm-Jung Yang ◽  
Eun-Gook Moon ◽  
Hiroki Isobe ◽  
Naoto Nagaosa
Keyword(s):  
Phase Transitions ◽  
Three Dimensional ◽  
Quantum Criticality ◽  
Electronic Systems ◽  
Topological Phase ◽  
Topological Phase Transitions

scholarly journals Prediction of topological crystalline insulators and topological phase transitions in two-dimensional PbTe films

2017 ◽  
Vol 19 (43) ◽  
pp. 29647-29652 ◽  
Author(s):  
Yi-zhen Jia ◽  
Wei-xiao Ji ◽  
Chang-wen Zhang ◽  
Ping Li ◽  
Shu-feng Zhang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Three Dimensional ◽  
Topological Phases ◽  
Topological Phase ◽  
Two Dimensional ◽  
Topological Crystalline Insulators ◽  
Topological Phase Transitions

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored and observed experimentally in three-dimensional (3D) materials.

scholarly journals Observing multifarious topological phase transitions with real-space indicator

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yong-Heng Lu ◽  
Yao Wang ◽  
Feng Mei ◽  
Yi-Jun Chang ◽  
Hang Zheng ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Three Dimensional ◽  
Real Space ◽  
Second Order ◽  
Topological Phases ◽  
Topological Phase ◽  
Edge States ◽  
Direct Writing ◽  
Topological Features ◽  
Topological Phase Transitions

Abstract First- and second-order topological phases, capable of inherent protection against disorder of materials, have been recently experimentally demonstrated in various artificial materials through observing the topologically protected edge states. Topological phase transition represents a new class of quantum critical phenomena, which is accompanied by the changes related to the bulk topology of energy band structures instead of symmetry. However, it is still a challenge to directly observe the topological phase transitions defined in terms of bulk states. Here, we theoretically and experimentally demonstrate the direct observation of multifarious topological phase transitions with real-space indicator in a single photonic chip, which is formed by integration of 324 × 33 waveguides supporting both first- and second-order topological phases. The trivial-to-first-order, trivial-to-second-order and first-to-second-order topological phase transitions signified by the band gap closure can all be directly detected via photon evolution in the bulk. We further observe the creation and destruction of gapped topological edge states associated with these topological phase transitions. The bulk-state-based route to investigate the high-dimensional and high-order topological features, together with the platform of freely engineering topological materials by three-dimensional laser direct writing in a single photonic chip, opens up a new avenue to explore the mechanisms and applications of artificial devices.

Topological phase transitions of three-dimensional topological insulator without energy gap closing

2015 ◽  
Vol 29 (28) ◽  
pp. 1550199 ◽  
Author(s):  
Zimeng Chi ◽  
Xiaoyong Guo ◽  
Zaijun Wang ◽  
Qiang Zheng
Keyword(s):  
Phase Transitions ◽  
Topological Insulator ◽  
Energy Gap ◽  
Strong Field ◽  
Tight Binding ◽  
Three Dimensional ◽  
Flat Band ◽  
Topological Phase ◽  
Exchange Field ◽  
Topological Phase Transitions

In this paper, we demonstrate an anomalous topological phase transition without closing of bulk energy gap. We find such an effect in a model of three-dimensional (3D) topological insulator (TI) subjected to the in-plane exchange field. The energy spectrum, spin spectrum and momentum-dependent spin Chern numbers are calculated. It is shown that our system realizes both the 3D TI phase and the integer quantum Hall (QH) phase. By varying the strength of exchange field, a series of topological phase transitions takes place and in the mean time the energy gap remains open. However, the spin spectrum is closed at the transition and various topological phases are characterized with different number of nodes in spin spectrum. In a tight-binding form, the surface modes are discussed to confirm with the phase diagram. Particularly for a strong field, we find the flat band edge modes which may provide an opportunity for realizing the two-dimensional (2D) fractional QH effect on the boundary of our 3D system.

scholarly journals Creating polar antivortex in PbTiO3/SrTiO3 superlattice

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Adeel Y. Abid ◽  
Yuanwei Sun ◽  
Xu Hou ◽  
Congbing Tan ◽  
Xiangli Zhong ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Phase Field ◽  
Driving Force ◽  
Topological Phase ◽  
Phase Field Simulation ◽  
Topological Structures ◽  
Field Simulation ◽  
Condensed Matters ◽  
Topological Phase Transitions ◽  
Insight Into

AbstractNontrivial topological structures offer a rich playground in condensed matters and promise alternative device configurations for post-Moore electronics. While recently a number of polar topologies have been discovered in confined ferroelectric PbTiO3 within artificially engineered PbTiO3/SrTiO3 superlattices, little attention was paid to possible topological polar structures in SrTiO3. Here we successfully create previously unrealized polar antivortices within the SrTiO3 of PbTiO3/SrTiO3 superlattices, accomplished by carefully engineering their thicknesses guided by phase-field simulation. Field- and thermal-induced Kosterlitz–Thouless-like topological phase transitions have also been demonstrated, and it was discovered that the driving force for antivortex formation is electrostatic instead of elastic. This work completes an important missing link in polar topologies, expands the reaches of topological structures, and offers insight into searching and manipulating polar textures.

scholarly journals Interaction-driven topological phase transitions in fermionic SU(3) systems

2020 ◽  
Vol 101 (24) ◽  
Author(s):  
Mohsen Hafez-Torbati ◽  
Jun-Hui Zheng ◽  
Bernhard Irsigler ◽  
Walter Hofstetter
Keyword(s):  
Phase Transitions ◽  
Topological Phase ◽  
Topological Phase Transitions
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