Phase transitions of finite Fermi systems and quantum chaos

1994 ◽  
Vol 242 (4-6) ◽  
pp. 443-451 ◽  
Author(s):  
W.D. Heiss
Keyword(s):  
Phase Transitions ◽  
Quantum Chaos ◽  
Fermi Systems

Model of Phase Transitions for Interacting Fermi Systems

1970 ◽  
Vol 11 (11) ◽  
pp. 3159-3165 ◽  
Author(s):  
H. L. Scott
Keyword(s):  
Phase Transitions ◽  
Fermi Systems

Quantum field theory of phase transitions in Fermi systems

1968 ◽  
Vol 17 (68) ◽  
pp. 509-562 ◽  
Author(s):  
R.D. Mattuck ◽  
Börje Johansson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Phase Transitions ◽  
Quantum Field ◽  
Fermi Systems

scholarly journals Quantum phase transitions in Bose–Fermi systems

2011 ◽  
Vol 326 (4) ◽  
pp. 926-957 ◽  
Author(s):  
D. Petrellis ◽  
A. Leviatan ◽  
F. Iachello
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Fermi Systems

scholarly journals Diagnosing first- and second-order phase transitions with probes of quantum chaos

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Kyoung-Bum Huh ◽  
Kazuki Ikeda ◽  
Viktor Jahnke ◽  
Keun-Young Kim
Keyword(s):  
Phase Transitions ◽  
Quantum Chaos ◽  
Second Order

Phase Transitions in Fermi Systems

2020 ◽  
pp. 53-97
Author(s):  
Paweł Jakubczyk
Keyword(s):  
Phase Transitions ◽  
Fermi Systems

scholarly journals Scaling near the quantum chaos border in interacting Fermi systems

2000 ◽  
Vol 62 (6) ◽  
pp. R7575-R7578 ◽  
Author(s):  
Pil Hun Song
Keyword(s):  
Quantum Chaos ◽  
Fermi Systems

Unexpected transitional paths in the prolate to oblate shape phase transitions for Bose–Fermi systems

2021 ◽  
Vol 57 (1) ◽  
Author(s):  
M. Böyükata ◽  
C. E. Alonso ◽  
J. M. Arias ◽  
L. Fortunato ◽  
A. Vitturi
Keyword(s):  
Phase Transitions ◽  
Fermi Systems ◽  
Oblate Shape

scholarly journals Quantum shape phase transitions from spherical to deformed for Bose-Fermi systems: the effect of the odd particle around the critical point

2014 ◽  
Vol 66 ◽  
pp. 02014 ◽  
Author(s):  
M. Böyükata ◽  
C. E. Alonso ◽  
J. M. Arias ◽  
L. Fortunato ◽  
A. Vitturi
Keyword(s):  
Phase Transitions ◽  
Critical Point ◽  
Fermi Systems

TOPOLOGICAL PHASE TRANSITIONS IN STRONGLY CORRELATED FERMI SYSTEMS

2009 ◽  
Vol 23 (20n21) ◽  
pp. 4059-4073 ◽  
Author(s):  
J. W. CLARK ◽  
V. A. KHODEL ◽  
M. V. ZVEREV
Keyword(s):  
Phase Transitions ◽  
Fermi Surface ◽  
Critical Point ◽  
Chemical Potential ◽  
Quantum Critical Point ◽  
Strongly Correlated ◽  
Topological Phase ◽  
Fermi Systems ◽  
Quantum Critical ◽  
Topological Phase Transitions

Opportunities for topological phase transitions in strongly correlated Fermi systems near a quantum critical point are explored as an alternative to collective scenarios for experimentally observed departures from standard Fermi-liquid behavior. Attention is focused on a quantum critical point at which the effective mass is divergent due to vanishing of the quasiparticle group velocity at the Fermi surface. Working within the original Landau quasiparticle theory, it is demonstrated that the quasiparticle picture can remain meaningful beyond the quantum critical point through rearrangements of the unstable normal Fermi surface and quasiparticle spectrum. Two possibilities emerge at zero temperature, depending on whether the quasiparticle interaction is regular or singular at zero momentum transfer. In the regular case, one type of topological phase transformation leads to a state with a multiconnected Fermi surface. In the singular case, another type of topological phase transition leads to an exceptional state containing a fermion condensate – the Fermi surface swells into a volume in momentum space, within which partial occupation prevails and quasiparticle energies are pinned to the chemical potential. As the temperature increases from zero to a characteristic value Tm, a crossover can occur from the state with multiple Fermi surfaces to that containing a fermion condensate.

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