No Mass Gap Phase Transition in Novel Massless Dirac Fermion Material

2021 ◽  
Vol 1 ◽  
Keyword(s):  
Phase Transition ◽  
Strong Coupling ◽  
Quantum Phase Transition ◽  
Dirac Fermion ◽  
Strong Coupling Regime ◽  
Dirac Fermions ◽  
Fermion System ◽  
Mass Gap ◽  
Gap Phase ◽  
Massless Dirac Fermion

Using an organic massless Dirac fermion system, we found that massless Dirac fermions undergo a quantum phase transition without creating any mass gap even in the strong coupling regime.

scholarly journals Quantum Phase Transition in Organic Massless Dirac Fermion System α-(BEDT-TTF)2I3 under Pressure

2020 ◽  
Vol 89 (12) ◽  
pp. 123702
Author(s):  
Yoshinari Unozawa ◽  
Yoshitaka Kawasugi ◽  
Masayuki Suda ◽  
Hiroshi M. Yamamoto ◽  
Reizo Kato ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Dirac Fermion ◽  
Fermion System ◽  
Massless Dirac Fermion

scholarly journals Transport Phenomena in Multilayered Massless Dirac Fermion System α-(BEDT-TTF)2I3

Crystals ◽  
2012 ◽  
Vol 2 (2) ◽  
pp. 643-661 ◽  
Author(s):  
Naoya Tajima ◽  
Yutaka Nishio ◽  
Koji Kajita
Keyword(s):  
Transport Phenomena ◽  
Dirac Fermion ◽  
Fermion System ◽  
Massless Dirac Fermion

scholarly journals Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator

2011 ◽  
Vol 7 (11) ◽  
pp. 840-844 ◽  
Author(s):  
T. Sato ◽  
Kouji Segawa ◽  
K. Kosaka ◽  
S. Souma ◽  
K. Nakayama ◽  
...  
Keyword(s):  
Phase Transition ◽  
Topological Insulator ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Dirac Fermions

Specific heat study of massless Dirac fermion system α-(BEDT-TTF)2I3 under pressure

2012 ◽  
Vol 9 (5) ◽  
pp. 1177-1179
Author(s):  
Takako Konoike ◽  
Kazuhito Uchida ◽  
Toshihito Osada
Keyword(s):  
Specific Heat ◽  
Dirac Fermion ◽  
Fermion System ◽  
Massless Dirac Fermion

scholarly journals Strongly coupled QFT dynamics via TQFT coupling

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Mithat Ünsal
Keyword(s):  
Strong Coupling ◽  
Topological Charge ◽  
Background Field ◽  
Strong Coupling Regime ◽  
Global Symmetry ◽  
Quantum Field Theories ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Mass Gap ◽  
New Perspective

Abstract We consider a class of quantum field theories and quantum mechanics, which we couple to ℤN topological QFTs, in order to classify non-perturbative effects in the original theory. The ℤN TQFT structure arises naturally from turning on a classical background field for a ℤN 0- or 1-form global symmetry. In SU(N) Yang-Mills theory coupled to ℤN TQFT, the non-perturbative expansion parameter is exp[−SI/N] = exp[−8π2/g2N] both in the semi-classical weak coupling domain and strong coupling domain, corresponding to a fractional topological charge configurations. To classify the non-perturbative effects in original SU(N) theory, we must use PSU(N) bundle and lift configurations (critical points at infinity) for which there is no obstruction back to SU(N). These provide a refinement of instanton sums: integer topological charge, but crucially fractional action configurations contribute, providing a TQFT protected generalization of resurgent semi-classical expansion to strong coupling. Monopole-instantons (or fractional instantons) on T3 × $$ {S}_L^1 $$ S L 1 can be interpreted as tunneling events in the ’t Hooft flux background in the PSU(N) bundle. The construction provides a new perspective to the strong coupling regime of QFTs and resolves a number of old standing issues, especially, fixes the conflicts between the large-N and instanton analysis. We derive the mass gap at θ = 0 and gaplessness at θ = π in $$ \mathbbm{CP} $$ CP 1 model, and mass gap for arbitrary θ in $$ \mathbbm{CP} $$ CP N−1, N ≥ 3 on ℝ2.

Specific Heat of the Multilayered Massless Dirac Fermion System

2012 ◽  
Vol 81 (4) ◽  
pp. 043601 ◽  
Author(s):  
Takako Konoike ◽  
Kazuhito Uchida ◽  
Toshihito Osada
Keyword(s):  
Specific Heat ◽  
Dirac Fermion ◽  
Fermion System ◽  
Massless Dirac Fermion
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