scholarly journals Violation of the Time-Reversal and Particle-Hole Symmetries in Strongly Correlated Fermi Systems: A Review

Symmetry ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 1596
Author(s):  
V. R. Shaginyan ◽  
A. Z. Msezane ◽  
G. S. Japaridze ◽  
V. A. Stephanovich
Keyword(s):  
Time Reversal ◽  
Fermi Liquid ◽  
Heavy Fermion ◽  
Fermi System ◽  
Strongly Correlated ◽  
Fermi Systems ◽  
High Tc ◽  
Symmetry Properties ◽  
Tunneling Conductivity ◽  
The Universe

In this review, we consider the time reversal T and particle-antiparticle C symmetries that, being most fundamental, can be violated at microscopic level by a weak interaction. The notable example here is from condensed matter, where strongly correlated Fermi systems like heavy-fermion metals and high Tc superconductors exhibit C and T symmetries violation due to so-called non-Fermi liquid (NFL) behavior. In these systems, tunneling differential conductivity (or resistivity) is a very sensitive tool to experimentally test the above symmetry break. When a strongly correlated Fermi system turns out to be near the topological fermion condensation quantum phase transition (FCQPT), it exhibits the NFL properties, so that the C symmetry breaks down, making the differential tunneling conductivity to be an asymmetric function of the bias voltage V. This asymmetry does not take place in normal metals, where Landau Fermi liquid (LFL) theory holds. Under the application of magnetic field, a heavy fermion metal transits to the LFL state, and σ(V) becomes symmetric function of V. These findings are in good agreement with experimental observations. We suggest that the same topological FCQPT underlies the baryon asymmetry in the Universe. We demonstrate that the most fundamental features of the nature are defined by its topological and symmetry properties.

Asymmetric Tunneling Conductance and the Non-Fermi Liquid Behavior of Strongly Correlated Fermi Systems

JETP Letters ◽  
2018 ◽  
Vol 108 (5) ◽  
pp. 335-340 ◽  
Author(s):  
V. R. Shaginyan ◽  
A. Z. Msezane ◽  
G. S. Japaridze ◽  
V. A. Stephanovich ◽  
Y. S. Leevik
Keyword(s):  
Fermi Liquid ◽  
Tunneling Conductance ◽  
Strongly Correlated ◽  
Fermi Systems ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

scholarly journals NON-FERMI-LIQUID BEHAVIOR FROM THE FERMI-LIQUID APPROACH

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2077-2090 ◽  
Author(s):  
V. A. KHODEL ◽  
J. W. CLARK ◽  
H. LI ◽  
V. M. YAKOVENKO ◽  
M. V. ZVEREV
Keyword(s):  
Experimental Data ◽  
Fermi Liquid ◽  
General Framework ◽  
Landau Theory ◽  
Particle Spectrum ◽  
Strongly Correlated ◽  
Fermi Systems ◽  
Liquid Behavior ◽  
Theoretical Results ◽  
Fermi Liquid Behavior

Non-Fermi liquid behavior of strongly correlated Fermi systems is derived within the Landau approach. We attribute this behavior to a phase transition associated with a rearrangement of the Landau state that leads to flattening of a portion of the single-particle spectrum ∊(p) in the vicinity of the Fermi surface. We demonstrate that the quasiparticle subsystem responsible for the flat spectrum possesses the same thermodynamic properties as a gas of localized spins. Theoretical results compare favorably with available experimental data. While departing radically from prevalent views on the origin of non-Fermi-liquid behavior, the theory advanced here is nevertheless a conservative one of in continuing to operate within the general framework of Landau theory.

Non-Fermi-liquid behavior of strongly correlated Fermi systems explained by the Fermi-liquid approach

2008 ◽  
Vol 403 (5-9) ◽  
pp. 1227-1229 ◽  
Author(s):  
V.A. Khodel ◽  
J.W. Clark ◽  
V.M. Yakovenko ◽  
M.V. Zverev
Keyword(s):  
Fermi Liquid ◽  
Strongly Correlated ◽  
Fermi Systems ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

scholarly journals Multiorbital singlet pairing and d + d superconductivity

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Emilian M. Nica ◽  
Qimiao Si
Keyword(s):  
Time Reversal ◽  
Heavy Fermion ◽  
Degrees Of Freedom ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Matrix Structure ◽  
Spin Singlet ◽  
Low Energies ◽  
Triplet Pairing ◽  
Orbital Space

AbstractRecent experiments in multiband Fe-based and heavy-fermion superconductors have challenged the long-held dichotomy between simple s- and d-wave spin-singlet pairing states. Here, we advance several time-reversal-invariant irreducible pairings that go beyond the standard singlet functions through a matrix structure in the band/orbital space, and elucidate their naturalness in multiband systems. We consider the sτ3 multiorbital superconducting state for Fe-chalcogenide superconductors. This state, corresponding to a d + d intra- and inter-band pairing, is shown to contrast with the more familiar d + id state in a way analogous to how the B- triplet pairing phase of 3He superfluid differs from its A- phase counterpart. In addition, we construct an analog of the sτ3 pairing for the heavy-fermion superconductor CeCu2Si2, using degrees-of-freedom that incorporate spin-orbit coupling. Our results lead to the proposition that d-wave superconductors in correlated multiband systems will generically have a fully-gapped Fermi surface when they are examined at sufficiently low energies.

scholarly journals Symmetry aspects in the macroscopic dynamics of magnetorheological gels and general liquid crystalline magnetic elastomers

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Harald Pleiner ◽  
Helmut R. Brand
Keyword(s):  
Electric Fields ◽  
Time Reversal ◽  
Liquid Crystalline ◽  
Second Law Of Thermodynamics ◽  
Time Reversal Symmetry ◽  
Local Conservation ◽  
Continuous Symmetry ◽  
Polar Order ◽  
Preferred Direction ◽  
Symmetry Properties

Abstract We investigate theoretically the macroscopic dynamics of various types of ordered magnetic fluid, gel, and elastomeric phases. We take a symmetry point of view and emphasize its importance for a macroscopic description. The interactions and couplings among the relevant variables are based on their individual symmetry behavior, irrespective of the detailed nature of the microscopic interactions involved. Concerning the variables we discriminate between conserved variables related to a local conservation law, symmetry variables describing a (spontaneously) broken continuous symmetry (e.g., due to a preferred direction) and slowly relaxing ones that arise from special conditions of the system are considered. Among the relevant symmetries, we consider the behavior under spatial rotations (e.g., discriminating scalars, vectors or tensors), under spatial inversion (discriminating e.g., polar and axial vectors), and under time reversal symmetry (discriminating e.g., velocities from polarizations, or electric fields from magnetic ones). Those symmetries are crucial not only to find the possible cross-couplings correctly but also to get a description of the macroscopic dynamics that is compatible with thermodynamics. In particular, time reversal symmetry is decisive to get the second law of thermodynamics right. We discuss (conventional quadrupolar) nematic order, polar order, active polar order, as well as ferromagnetic order and tetrahedral (octupolar) order. In a second step, we show some of the consequences of the symmetry properties for the various systems that we have worked on within the SPP1681, including magnetic nematic (and cholesteric) elastomers, ferromagnetic nematics (also with tetrahedral order), ferromagnetic elastomers with tetrahedral order, gels and elastomers with polar or active polar order, and finally magnetorheological fluids and gels in a one- and two-fluid description.

Phenomenological theory of non-Fermi-liquid heavy-fermion alloys

1993 ◽  
Vol 48 (13) ◽  
pp. 9887-9889 ◽  
Author(s):  
A. M. Tsvelik ◽  
M. Reizer
Keyword(s):  
Fermi Liquid ◽  
Heavy Fermion ◽  
Phenomenological Theory
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