By Bechert, Gerthser
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Extra info for Atomphysik
5, where scattering from a single impurity embedded into a 1D system is analyzed in the fermionic language, following the work by Yue, Matveev, Glazman . The drawback of this approach–the perturbative treatment of the interaction–is compensated by the clarity of underlying physics. Another feature which makes these notes different from the rest of the literature in the field is that the description goes in terms of the original fermions for quite a while (Secs. 2 through 5), whereas the weapon of choice of all 1D studies–bosonization– is invoked only at a later stage (Sec.
This process contributes regular terms to the self-energy. b) Dynamic forward scattering: Q ∼ |ω|/vF . c) Dynamic backscattering: |Q − 2kF | ∼ |ω|/vF . Processes b) and c) are responsible for the non-analytic terms in the self-energy. Correspondingly, specific heat which, by power counting, is obtained from Re by replacing each ε by T , also acquires a non-analytic term 6 R C(T ) = γ3 T + β3 T 3 ln T . This is the familiar T 3 ln T term, observed both in He3  and metals  (mostly, heavy-fermion materials) 7 .
1. 2. 3. NS interface 3. 1. 2. 1. 2. 3. 3. 1. 2. 4. 1. 2. 3. 4. An explicit example: a wire out of equilibrium 4. 1. 2. 1. 2. 3. 3. 1. 2. Spin-polarized probes References Course 7. 399 399 402 404 406 406 407 409 409 410 411 413 416 417 419 419 420 421 423 423 424 425 Low-temperature transport through a quantum dot, by Leonid I. Glazman and Michael Pustilnik 427 1. Introduction 2. Model of a lateral quantum dot system 3. 1. 2. Coulomb blockade peaks at low temperature 4. 1. 2. Elastic co-tunneling 5.
Atomphysik by Bechert, Gerthser