scholarly journals Global phase diagram of two-dimensional Dirac fermions in random potentials

2012 ◽  
Vol 85 (23) ◽  
Author(s):  
S. Ryu ◽  
C. Mudry ◽  
A. W. W. Ludwig ◽  
A. Furusaki
Nanomaterials ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 1462
Author(s):  
Zhan Kong ◽  
Jian Li ◽  
Yi Zhang ◽  
Shu-Hui Zhang ◽  
Jia-Ji Zhu

The tunneling of electrons and holes in quantum structures plays a crucial role in studying the transport properties of materials and the related devices. 8-Pmmn borophene is a new two-dimensional Dirac material that hosts tilted Dirac cone and chiral, anisotropic massless Dirac fermions. We adopt the transfer matrix method to investigate the Klein tunneling of massless fermions across the smooth NP junctions and NPN junctions of 8-Pmmn borophene. Like the sharp NP junctions of 8-Pmmn borophene, the tilted Dirac cones induce the oblique Klein tunneling. The angle of perfect transmission to the normal incidence is 20.4∘, a constant determined by the Hamiltonian of 8-Pmmn borophene. For the NPN junction, there are branches of the Klein tunneling in the phase diagram. We find that the asymmetric Klein tunneling is induced by the chirality and anisotropy of the carriers. Furthermore, we show the oscillation of electrical resistance related to the Klein tunneling in the NPN junctions. One may analyze the pattern of electrical resistance and verify the existence of asymmetric Klein tunneling experimentally.


2002 ◽  
Vol 16 (20n22) ◽  
pp. 3084-3088
Author(s):  
S. UJI ◽  
C. TERAKURA ◽  
T. TERASHIMA ◽  
T. YAKABE ◽  
Y. IMANAKA ◽  
...  

Electronic states have been investigated under high magnetic fields for quasi-two-dimensional organic conductors λ- (BETS) 2 Fe x Ga 1-x Cl 4 (x = 1.0, 0.47, 0.45, 0). Under magnetic field parallel to the c-axis, various electronic states appear, depending on x, field, and temperature. The global phase diagram for this alloy is presented and the evidence of the strong internal field due to the Fe moments is shown.


2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Shi Wang ◽  
Zhongyuan Qi ◽  
Bin Xi ◽  
Wei Wang ◽  
Shun-Li Yu ◽  
...  

2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.


2007 ◽  
Vol 17 (09) ◽  
pp. 3071-3083 ◽  
Author(s):  
J. M. GONZÀLEZ-MIRANDA

The results of a study of the bifurcation diagram of the Hindmarsh–Rose neuron model in a two-dimensional parameter space are reported. This diagram shows the existence and extent of complex bifurcation structures that might be useful to understand the mechanisms used by the neurons to encode information and give rapid responses to stimulus. Moreover, the information contained in this phase diagram provides a background to develop our understanding of the dynamics of interacting neurons.


2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Zhuoyu Chen ◽  
Bai Yang Wang ◽  
Adrian G. Swartz ◽  
Hyeok Yoon ◽  
Yasuyuki Hikita ◽  
...  

AbstractAnomalous metallic behavior, marked by a saturating finite resistivity much lower than the Drude estimate, has been observed in a wide range of two-dimensional superconductors. Utilizing the electrostatically gated LaAlO3/SrTiO3 interface as a versatile platform for superconductor-metal quantum phase transitions, we probe variations in the gate, magnetic field, and temperature to construct a phase diagram crossing from superconductor, anomalous metal, vortex liquid, to the Drude metal state, combining longitudinal and Hall resistivity measurements. We find that the anomalous metal phases induced by gating and magnetic field, although differing in symmetry, are connected in the phase diagram and exhibit similar magnetic field response approaching zero temperature. Namely, within a finite regime of the anomalous metal state, the longitudinal resistivity linearly depends on the field while the Hall resistivity diminishes, indicating an emergent particle-hole symmetry. The universal behavior highlights the uniqueness of the quantum bosonic metallic state, distinct from bosonic insulators and vortex liquids.


1986 ◽  
Vol 33 (1) ◽  
pp. 499-509 ◽  
Author(s):  
J. M. Caillol ◽  
D. Levesque

1995 ◽  
Vol 52 (13) ◽  
pp. 9784-9792 ◽  
Author(s):  
D. J. Liu ◽  
T. L. Einstein ◽  
P. A. Sterne ◽  
L. T. Wille

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