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Signature of phase coherence in isolated mesoscopic systems
Institution:1. National Polytechnic University of Armenia, 105, Teryan, Yerevan, 0009, Armenia;2. Yerevan State University, 1, Alex Manoogian, Yerevan, 0025, Armenia;3. California State University, Bakersfield, CA, USA;1. Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, China;2. School of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou, 510665, China;1. Institute of Nanoscience and Nanotechnology, University of Kashan, 87317-53153 Kashan, Iran;2. Atomic and Molecular Group, Faculty of Physics, University of Kashan, 87317-51167 Kashan, Iran;1. Department of Physics and Engineering, California State University, Bakersfield, CA 93311, USA;2. Departamento de Física Aplicada, Universidad Politécnica de Cartagena, E-30202 Murcia, Spain
Abstract:At low temperature, electronic wave functions in a metal keep their phase coherence on a length Lφ which can be of the order of few microns. Transport and thermodynamic properties of mesoscopic systems whose size are smaller than Lφ exhibit spectacular signatures of this coherence which can be revealed by instance through the sensitivity of the phase of the electrons to an applied vector potential. These quantum effects crucially depend on the way measurements are performed, in this paper we emphasize the difference between:• connected open systems, characterized by their transmission properties accessible through conductance measurements;• electrically isolated, closed systems caracterized by their energy level spectra and investigated through thermodynamic (mostly magnetization) and ac conductance (response to an electromagnetic wave) measurements.They correspond to different types of coupling to the measuring apparatus, and present different sensitivities to phase coherence. The amplitude of quantum oscillations of the magnetoconductance on a connected system are indeed only a small fraction of the classical conductance and can be much larger on an isolated system.
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