scholarly journals Dirac Materials in a MatrixWay

2020 ◽  
Vol 8 (2) ◽  
pp. 32-44 ◽  
Author(s):  
Arka Bandyopadhyay ◽  
Debnarayan Jana
Keyword(s):  
2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Anna Pertsova ◽  
Peter Johnson ◽  
Daniel P. Arovas ◽  
Alexander V. Balatsky
Keyword(s):  

2020 ◽  
Author(s):  
Xinyang Li ◽  
Weixiao Ji ◽  
Peiji Wang ◽  
Chang-wen Zhang

Half-Dirac semimetals (HDSs), which possess 100% spin-polarizations for Dirac materials, are highly desirable for exploring various topological phases of matter, as low-dimensionality opens unprecedented opportunities for manipulating the quantum state...


2021 ◽  
Vol 103 (23) ◽  
Author(s):  
N. V. Leppenen ◽  
L. E. Golub ◽  
E. L. Ivchenko

2018 ◽  
Vol 98 (20) ◽  
Author(s):  
Leone Di Mauro Villari ◽  
Ian Galbraith ◽  
Fabio Biancalana

2017 ◽  
Vol 95 (20) ◽  
Author(s):  
Christopher Triola ◽  
Anna Pertsova ◽  
Robert S. Markiewicz ◽  
Alexander V. Balatsky

Author(s):  
Andreas Wilhelm Wipf ◽  
Julian Johannes Lenz

We review some recent developments about strongly interacting relativistic Fermi theories in three spacetime dimensions. These models realize the asymptotic safety scenario and are used to describe the low-energy properties of Dirac materials in condensed matter physics. We begin with a general discussion of the symmetries of multi-flavor Fermi systems in arbitrary dimensions. Then we review known results about the critical flavor number $N_\mathrm{crit}$ of Thirring models in three dimensions. Only models with flavor number below $N_\mathrm{crit}$ show a phase transition from a symmetry-broken strong-coupling phase to a symmetric weak-coupling phase. Recent simulations with chiral fermions show that $N_\mathrm{crit}$ is smaller than previously extracted with various non-perturbative methods. Our simulations with chiral SLAC fermions reveal that for four-component flavors $N_\mathrm{crit}=0.80(4)$. This means that all reducible Thirring models with $\Nr=1,2,3,\dots$ show no phase transition with order parameter. Instead we discover footprints of phase transitions without order parameter. These new transitions are probably smooth and could be used to relate the lattice Thirring models to Thirring models in the continuum. For a single irreducible flavor, we provide previously unpublished values for the critical couplings and critical exponents.


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