Phase transitions in disordered systems: I. exciton/electron-hole liquid/plasma system in germanium and II. amorphous ferromagnets and spin glasses
Schowalter, Leo John
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https://hdl.handle.net/2142/25432
Description
Title
Phase transitions in disordered systems: I. exciton/electron-hole liquid/plasma system in germanium and II. amorphous ferromagnets and spin glasses
Author(s)
Schowalter, Leo John
Issue Date
1981
Doctoral Committee Chair(s)
Salamon, Myron B.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
phase transitions
disordered systems
exciton
electron hole
amorphous ferromagnets
spin glasses
Language
en
Abstract
In Part I of this thesis, we present experimental evidence demonstrating that a metal-insulator (M-I) phase transition can occur separately from the liquid-gas (L-G) transition in the exciton/electron-hole (e-h) gas/e-h liquid system in stressed Ge. Using a strain wel1 to confine the photoexcited carriers, we analyzed the spectral content and spatial distribution of e-h recombination luminescence. we observe a line of first-order transitions between the exciton gas am p-h gas occurring UP to 7 K which we associate with the M-I transition. '!his is well above the temperature of the L-G critical point which we found to be 4.5 + 0.5 K with a critical density of
16
3 + 1 x 10em Spectroscopic evidence is also presented for a triple point which we estimate to be about 4 K. At this temperature, we were able to fit our measured luminescence spectra at particular photoexcitation powers only by including a theoretical line shape for the e-h gas with a density of
16 -3
2.0 + .5 x 10 em A simple expansion of the free energy of the e-h system is presented from which we calculate a critical temperature for the M-I transition of 5.4 K which, possible because of quantum effects, is substantially below our measured value. Lifetime measurements of the different phases of the e-h system are also made. In particular, we have measured an extremely long lifetime of 1.5 ms for strain-confined excitons
iv
below 3.2 K. This compares favorably with our predicted radiative lifetime of
2.0 rns in stressed (',e. M:x:Ne 3.2 K, a rapid decrease j.n the exciton lifetime is observed with increasing temperature, concurrent with an exponential decrease in the observed luminescence intensitv. Three models for thermally-activated loss of strain-confined excitons are considered as possible explanations.
In Part II of this thesis. we obtain the thermodynamic properties of a system of Ising spins interacting with various random {X)tentials in the Bethe-Peierls-Wiss (BPW) approximation. When the effective number of neighbors z approaches infinity, we show that all the magnetic properties arising from the BPW approximation, the mean-random-field (MRF) and the Sherrington-Kirkpatrick (SK) replica treatment are identical. Also. the microscopic internal energy in the BPW method can bP. integrated approxiately to obtain a microscopic free energy which is identical to that derivprJ hv diagrammatic expansions of the disordered Hamiltonian. Usi.ng this free energy and our calculated distribution of internal fieMs, we show that the BPW met.hcx:1 reproduces all the results of Sf( includinq a negative entropy of -k/(2n) at T =O. We also show by analytical means that a square hole or gap arises in the low-temperature distribution of the single-particle excitation fields h at h = 0 in the limit of infinite z. In an externally applied
o 0 field, the hole remains centered about the zero value of the total (internal plus external) field. The reasons for the unphysica1 low-temperature results occurring in both the SF and BPW treatments are clarified in our discussion of this gap. The phase diagram as a function of z is calculated within the MRF approximation. We find that for z > 8 the phase diaqram is already very close
to that of the infinite z case Finally, we compare magnetization versus temperature curves which have been calculated within Handrich's approach with
those calculated within the BPW approach in the limit of infinite z. BPW approximations are very similar for small amounts of disorder but Handrich's method breaks down as the account of disorder approaches the spin-glass boundary.
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