The Study of the Coexistence of Ferromagnetism and Superconductivity in ZRZN2
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Date
2006-07
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Addis Ababa University
Abstract
We study the possibility of the coexistence of ferromagnetism and superconductivity
in a compound ZrZn2. In the first case we derive the triplet equal spin pairing
gap equation as a function of exchange splitting Vc. We have also shown that the
splitting gap equation can be used to estimate the superconducting temperature,Tsc,
of ZrZn2in two aspects: Vc = 0 and Vc 6= 0. Here, we first report that the gap equation
allows us the phase transition from A state (paramagnetic state) to A1 or A2 superconducting
states. Additionally, for Vc = 0, we find that Tsc = 0.37k and for Vc 6= 0 we
also obtain that Tsc = 0.4k for up-up pairing and Tsc = 0.34k for down-down pairing
respectively. Here we predict that the highest value of Tsc is related to the majority
spin pairing state, and the smallest value of Tsc is related to the minority spin pairing
state.
On the other hand, we report the phase diagram showing the ferromagnetic Tf and
the superconducting Tsc temperatures as a function of pressure in ZrZn2. It is found
that both temperatures decrease with increasing pressure and they vanish simultaneously
at the critical pressure Pc. Her we report that as the pressure increases more
and more spins are fluctuated from their common directions, this effect reduces the
transition temperatures of ZrZn2, we suggest that the same electrons are responsible
for both ferromagnetism and superconductivity in ZrZn2. We compare our results
with the theoretical models and with experimental observations in ZrZn2
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Superconductivity in ZRZN2