21 papers
Scarring and the statistics of tunnelling
Stephen C. Creagh, Soo-Young Lee, Niall D. Whelan
We show that the statistics of tunnelling can be dramatically affected by scarring and derive distributions quantifying this effect. Strong deviations from the prediction of random…
Semiclassical Trace Formulas for Noninteracting Identical Particles
Jamal Sakhr, Niall D. Whelan
We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle…
Combined Paramagnetic and Diamagnetic Response of YBCO
Niall D. Whelan, Jules P. Carbotte
It has been predicted that the zero frequency density of states of YBCO in the superconducting phase can display interesting anisotropy effects when a magnetic field is applied par…
Semiclassical Trace Formulas for Two Identical Particles
Jamal Sakhr, Niall D. Whelan
Semiclassical periodic orbit theory is used in many branches of physics. However, most applications of the theory have been to systems which involve only single particle dynamics.…
Magnetic field as a probe of gap energy scales in YBCO
N. D. Whelan, J. P. Carbotte
Among high T_c materials, the YBCO (YBa_2Cu_3O_{7-x}) compounds are special since they have superconducting chains as well as planes. We show that a discontinuity in the density of…
Regular Tunnelling Sequences in Mixed Systems
Stephen C. Creagh, Niall D. Whelan
We show that the pattern of tunnelling rates can display a vivid and regular pattern when the classical dynamics is of mixed chaotic/regular type. We consider the situation in whic…