The phase transition in the discrete Gaussian chain with 1/r
2 interaction energy |
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| Authors: | J Fröhlich B Zegarlinski |
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| Institution: | (1) Theoretical Physics, ETH-Hönggerberg, CH-8093 Zürich, Switzerland;(2) Institute of Mathematics, Ruhr University, D-4630 Bochum, Germany |
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| Abstract: | We exhibit a phase transition from a rough high-temperature phase to a rigid (localized) low-temperature phase in the discrete Gaussian chain with 1/r
2 interaction energy. This transition is related to a localization transition in the ground state for a quantum mechanical particle in a one-dimensional periodic potential, coupled to quantum 1/f noise.This paper is dedicated to J. L. Lebowitz on the occasion of his 60th birthday |
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| Keywords: | Phase transition 1/r
2 discrete Gaussian localization quantum 1/f noise Peierls argument correlation inequalities energy-entropy argument |
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