scholarly journals Strongly coupled quantum criticality with a Fermi surface in two dimensions: Fractionalization of spin and charge collective modes

2002 ◽  
Vol 66 (23) ◽  
Author(s):  
Subir Sachdev ◽  
Takao Morinari
Keyword(s):  
Fermi Surface ◽  
Quantum Criticality ◽  
Two Dimensions ◽  
Collective Modes ◽  
Strongly Coupled

scholarly journals Variational h-adaption for coupled thermomechanical problems

2019 ◽  
Vol 37 (4) ◽  
pp. 1261-1290 ◽  
Author(s):  
Rohit Pethe ◽  
Thomas Heuzé ◽  
Laurent Stainier
Keyword(s):  
Mathematical Problem ◽  
Energy Criterion ◽  
Two Dimensions ◽  
Test Cases ◽  
Coupled Thermoelasticity ◽  
Content Type ◽  
Strongly Coupled ◽  
Variational Structure ◽  
Mesh Adaption ◽  
Parametric Analyses

Purpose The purpose of this paper is to present a variational mesh h-adaption approach for strongly coupled thermomechanical problems. Design/methodology/approach The mesh is adapted by local subdivision controlled by an energy criterion. Thermal and thermomechanical problems are of interest here. In particular, steady and transient purely thermal problems, transient strongly coupled thermoelasticity and thermoplasticity problems are investigated. Findings Different test cases are performed to test the robustness of the algorithm for the problems listed above. It is found that a better cost-effectiveness can be obtained with that approach compared to a uniform refining procedure. Because the algorithm is based on a set of tolerance parameters, parametric analyses and a study of their respective influence on the mesh adaption are carried out. This detailed analysis is performed on unidimensional problems, and a final example is provided in two dimensions. Originality/value This work presents an original approach for independent h-adaption of a mechanical and a thermal mesh in strongly coupled problems, based on an incremental variational formulation. The approach does not rely on (or attempt to provide) error estimation in the classical sense. It could merely be considered to provide an error indicator. Instead, it provides a practical methodology to adapt the mesh on the basis of the variational structure of the underlying mathematical problem.

Fermi surface renormalization in two dimensions

2004 ◽  
Vol 408-410 ◽  
pp. 254-256 ◽  
Author(s):  
H. Freire ◽  
E. Corrêa ◽  
A. Ferraz
Keyword(s):  
Fermi Surface ◽  
Two Dimensions

Collective Modes in Strongly Coupled Binary Liquids

2012 ◽  
Vol 52 (3) ◽  
pp. 234-237 ◽  
Author(s):  
G.J. Kalman ◽  
Z. Donkó ◽  
P. Hartmann ◽  
K.I. Golden ◽  
S. Kyrkos
Keyword(s):  
Collective Modes ◽  
Binary Liquids ◽  
Strongly Coupled
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