Heat correlations in some nano systems

الموضوعات

علوم بحتة وطبيعية

الملخص

This thesis investigates quantum transport in strongly correlated one-dimensional sys tems. It uses exact analytical tools, including bosonization and refermionization, to ad dress models where interactions can be treated in a non perturbative way. The first chapter provides an overview of mesoscopic condensed matter physics, intro ducing the transition from the Fermi gas to the Luttinger liquid. It discusses both chiral and non-chiral systems and the analytical frameworks used to study them. Physical ob servables such as current density, correlation functions, and noise are clearly defined. The second chapter focuses on thermal transport in a system exhibing the fractional quantum Hall effect (FQHE). The model features two edge states with filling factors ν = 1 (Fermi) and ν = 1/3 (Luttinger). By mapping the system to an analytically tractable ν = 1/2 model, we compute thermal observables such as density, heat current, thermal conductance, and thermal correlation functions. The third chapter explores electrical correlations in a finite-length quantum wire under a longitudinal magnetic field and connected to non-interacting leads. For a special inter action parameter value K = 0.18, the model becomes exactly solvable, allowing detailed analysis of correlations between gapped and gapless modes.

روابط وملفات

التعريف والنوع

رقم الوثيقة

edf875c3-80da-4397-a3a2-92365977ef21

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

ماستر (LMD)

نوع الملف

pdf text

أسماء الملفات

1092898_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"حسام الدين فرحي","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"رضوان زموم","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Heat correlations in some nano systems

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

رضوان زموم

الإعداد

حسام الدين فرحي

الاقتباسات الببليوغرافية