Elektronu koherentās caurlaidības amplitūdas statistika daudzlīmeņu kvantu punktos
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Latvijas Universitāte
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Abstract
Elektronu transporta īpašības elektrostatiski definētajos kvantu punktos pie zemām temperatūrām un spriegumiem nosaka kvantu interferences un korelācijas efekti. Būtisku informāciju par šiem efektiem sniedz caurlaidības amplitūda, kuras modulis nosaka kvantu punkta vadāmību, bet fāze satur informāciju par dažādām interferējošām trajektorijām daudzlīmeņu kvantu punktā. Darbā ir teorētiski pētīta caurlaidības amplitūdas moduļa, kā arī fāzes lēciena statistika, izmantojot gadījuma matricu teoriju elektronu transportam.
Transport through quantum dots at low temperatures and applied voltages is a quantum-coherent process, with quantum interference and correlation playing an important role. Properties of quantum dots are characterized by the transmission amplitude. Conductance of a quantum dot is determined by the modulus of the transmission amplitude, while information about interfering paths in the quantum dot is contained in its phase. The subject of this bachelor thesis is to obtain phase lapse statistics for the transmission amplitude, using random-matrix theory for electronic transport.
Transport through quantum dots at low temperatures and applied voltages is a quantum-coherent process, with quantum interference and correlation playing an important role. Properties of quantum dots are characterized by the transmission amplitude. Conductance of a quantum dot is determined by the modulus of the transmission amplitude, while information about interfering paths in the quantum dot is contained in its phase. The subject of this bachelor thesis is to obtain phase lapse statistics for the transmission amplitude, using random-matrix theory for electronic transport.