scholarly journals Microscopic analysis of the superconducting quantum critical point: Finite-temperature crossovers in transport near a pair-breaking quantum phase transition

2007 ◽  
Vol 76 (9) ◽  
Author(s):  
Nayana Shah ◽  
Andrei Lopatin
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Quantum Phase Transition ◽  
Finite Temperature ◽  
Quantum Critical Point ◽  
Microscopic Analysis ◽  
Quantum Phase ◽  
Pair Breaking ◽  
Quantum Critical

scholarly journals Continuous N\'{e}el-VBS quantum phase transition in non-local one-dimensional systems with SO(3) symmetry

2021 ◽  
Vol 10 (2) ◽  
Author(s):  
Chao-Ming Jian ◽  
Yichen Xu ◽  
Xiao-Chuan Wu ◽  
Cenke Xu
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Critical Point ◽  
Valence Bond ◽  
Spin Symmetry ◽  
Quantum Phase ◽  
Edge States ◽  
One Dimensional ◽  
Nonlocal Interactions ◽  
Quantum Critical

One dimensional (1d) interacting systems with local Hamiltonians can be studied with various well-developed analytical methods. Recently novel 1d physics was found numerically in systems with either spatially nonlocal interactions, or at the 1d boundary of 2d quantum critical points, and the critical fluctuation in the bulk also yields effective nonlocal interactions at the boundary. This work studies the edge states at the 1d boundary of 2d strongly interacting symmetry protected topological (SPT) states, when the bulk is driven to a disorder-order phase transition. We will take the 2d Affleck-Kennedy-Lieb-Tasaki (AKLT) state as an example, which is a SPT state protected by the SO(3) spin symmetry and spatial translation. We found that the original (1+1)d boundary conformal field theory of the AKLT state is unstable due to coupling to the boundary avatar of the bulk quantum critical fluctuations. When the bulk is fixed at the quantum critical point, within the accuracy of our expansion method, we find that by tuning one parameter at the boundary, there is a generic direct transition between the long range antiferromagnetic Néel order and the valence bond solid (VBS) order. This transition is very similar to the Néel-VBS transition recently found in numerical simulation of a spin-1/2 chain with nonlocal spatial interactions. Connections between our analytical studies and recent numerical results concerning the edge states of the 2d AKLT-like state at a bulk quantum phase transition will also be discussed.

scholarly journals Author Correction: Pair-breaking quantum phase transition in superconducting nanowires

2018 ◽  
Vol 14 (9) ◽  
pp. 967-967
Author(s):  
Hyunjeong Kim ◽  
Frédéric Gay ◽  
Adrian Del Maestro ◽  
Benjamin Sacépé ◽  
Andrey Rogachev
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Pair Breaking ◽  
Superconducting Nanowires

Quantum phase transition in the U(2) vibron model and the critical point symmetry

2014 ◽  
Vol 44 (5) ◽  
pp. 501-505
Author(s):  
Jia XU ◽  
ShengXin LI ◽  
Yang AN ◽  
Yun ZHAO ◽  
DongQi YU ◽  
...  
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Point Symmetry

Wiedemann–Franz law analysis near a pair-breaking quantum phase transition in superconducting nanowires

2008 ◽  
Vol 403 (5-9) ◽  
pp. 1309-1311
Author(s):  
Nayana Shah ◽  
Adrian del Maestro ◽  
Bernd Rosenow ◽  
Subir Sachdev
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Pair Breaking ◽  
Superconducting Nanowires
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