scholarly journals Emergent fractons and algebraic quantum liquid from plaquette melting transitions

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Yizhi You ◽  
Zhen Bi ◽  
Michael Pretko
Keyword(s):  
Quantum Liquid ◽  
Algebraic Quantum ◽  
Melting Transitions

scholarly journals Categorification of algebraic quantum field theories

2021 ◽  
Vol 111 (2) ◽  
Author(s):  
Marco Benini ◽  
Marco Perin ◽  
Alexander Schenkel ◽  
Lukas Woike
Keyword(s):  
Universal Algebra ◽  
Finite Groups ◽  
Physical Interpretation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Algebraic Quantum

AbstractThis paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen’s universal algebra is developed and also computed for simple examples of 2AQFTs.

FEW-PARTICLE ANYON EXCITON: EXACT SOLUTIONS

2003 ◽  
Vol 02 (06) ◽  
pp. 461-468
Author(s):  
D. G. W. PARFITT ◽  
M. E. PORTNOI
Keyword(s):  
Exact Solutions ◽  
Finite Size ◽  
Spherical Geometry ◽  
Planar Geometry ◽  
Quantum Liquid ◽  
Dimensional Electron ◽  
Adequate Description ◽  
Exciton Model ◽  
Finite Size Effects ◽  
Dimensional Electron Gas

The anyon exciton model, which describes an exciton against the background of an incompressible quantum liquid, is generalized to the case of an arbitrary number of anyons. Some mathematical aspects of this quantum-mechanical few-particle problem are considered and several exact solutions are obtained. The four-particle case is also considered in the classical limit in both planar and spherical geometries. Such a classical approach gives an adequate description of an anyon exciton at large separation between the valence hole and the two-dimensional electron gas. It is shown that in this limit in a planar geometry the anyon exciton is always energetically more favorable than a charged anyon ion. This indicates that the appearance of fractionally-charged anyon ions reported in recent numerical calculations is an artefact apparently caused by finite-size effects in a spherical geometry.

scholarly journals Possible quantum liquid crystal phases of helium monolayers

2016 ◽  
Vol 94 (18) ◽  
Author(s):  
S. Nakamura ◽  
K. Matsui ◽  
T. Matsui ◽  
Hiroshi Fukuyama
Keyword(s):  
Liquid Crystal ◽  
Quantum Liquid ◽  
Crystal Phases ◽  
Liquid Crystal Phases

scholarly journals Algebraic Quantum Field Theory on Spacetimes with Timelike Boundary

2018 ◽  
Vol 19 (8) ◽  
pp. 2401-2433 ◽  
Author(s):  
Marco Benini ◽  
Claudio Dappiaggi ◽  
Alexander Schenkel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Algebraic Quantum Field Theory ◽  
Algebraic Quantum

scholarly journals Algebraic quantum hypergroups

2011 ◽  
Vol 226 (2) ◽  
pp. 1134-1167 ◽  
Author(s):  
L. Delvaux ◽  
A. Van Daele
Keyword(s):  
Algebraic Quantum

scholarly journals Quantifying DNA melting transitions using single-molecule force spectroscopy

2008 ◽  
Vol 21 (3) ◽  
pp. 034114 ◽  
Author(s):  
Christopher P Calderon ◽  
Wei-Hung Chen ◽  
Kuan-Jiuh Lin ◽  
Nolan C Harris ◽  
Ching-Hwa Kiang
Keyword(s):  
Single Molecule ◽  
Force Spectroscopy ◽  
Dna Melting ◽  
Single Molecule Force Spectroscopy ◽  
Melting Transitions
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