Fall 2015,
Cornell University
Instructor
Prof.
Departments of ECE and MSE, Cornell
University
Class
Hours
MW 8:40 – 9:55 am [+ some Fridays 8:40 – 9:55 am]
Location: Phillips Hall 203, Official
Link
Office hours: MW 10:00-11:00 am @
Phillips 415
Prerequisites
Quantum mechanics,
and ECE 4070 (or an equivalent course in solid-state physics).
About
the course
Modern
electronic and photonic devices are increasingly incorporating new materials
with a richer set of underlying physical phenomena in transport that are not
covered in traditional materials and device courses. A deep understanding of the underlying
physics is key to controlling, and designing devices based on transport and
electrostatics. This course first
connects the traditional “continuum” transport physics of micron-scale devices,
to coherent quantum transport in nanoscale devices,
and shows the major technical bottlenecks device physicists and engineers face
in the coming decades. By rigorously
developing emergent topological and correlated ideas in quantum transport, the
course will arm students with tools that will be used to invent new devices in
the future.
Topics
Part
I: Review of fundamentals
1: Review of classical and quantum mechanics
2: Current flow in
quantum mechanics
3: Quantum statistics,
quest for equilibrium as the driver for transport
• Part II:
Single-particle transport
4: Ballistic
transport: Quantized conductance, Ballistic MOSFETs
5: Transmission and
tunneling, Tunneling FETs
6. Closed vs. open
systems, the Non-Equilibrium Green’s Function approach to transport
7. Fermi’s golden
rule, Diffusive transport: Boltzmann transport equation, scattering, Electron-phonon interactions
8. High-field effects, Gunn diodes
and oscillators for high-frequency power
9. Feynman path
integrals, the Aharonov Bohm
effect and Weak Localization
• Part III: Geometrical
and topological quantum mechanics, unification with relativity
10: Spin, transport
in a magnetic field, Quantum Hall effect, Berry phase in quantum mech
11: Chern numbers, Edge/Topological states, Topological
insulators and Majorana Fermions
• Part IV:
Many-particle correlated transport
12: Fock-space way of thinking transport, second quantization, conductance
anomalies
13: BCS theory of
superconductivity, Josephson junctions
14. Landau/Ginzburg theories of phase transitions due to broken
symmetry
Handouts/Notes/[Reading]
1) Notes 1: Quantum
mechanics recap [HK(see
below), other QMech texts]
2) Notes 2: Quantum
currents, equilibrium, ballistic FETs
[LN Chp 16, QMech
texts]
3) Notes 3: Tunneling
transport and low-power switches
[HK, FCT]
4) Notes 4: Non-Equilibrium
Green’s Function [LN, QT]
5) Notes 5: Golden
Rule, Boltzmann, Transport [FCT]
6) Notes 6: Feynman
path integrals, Aharonov-Bohm and Weak Localization
7) Notes 7: Berry Phase
effects on quantum transport
8) Notes 8: Many-Particle
effects on transport: Conductance ‘anomalies’, and Superconductivity
Lecture
Videos
Assignments
1 - pdf posted:
08/27/2015 due: 09/09/2015 solutions
2 - pdf posted:
09/13/2015 due: 09/23/2015 solutions
3 - pdf posted:
09/27/2015 due: 10/09/2015 solutions
4 - pdf posted:
10/14/2015 due: 10/23/2015 solutions
5 - pdf posted:
12/03/2015 due: 12/11/2015 solutions
Projects
Textbooks
The following texts are excellent
references for the course:
-Lessons from Nanoelectronics
[LN] (Datta)
-Quantum Transport [QT] (Datta)
-Fundamentals of Carrier Transport
[FCT] (Lundstrom)
-Quantum Mechanics [HK] (Kroemer)
Grading
TBD
Contact
Email: djena
at cornell dot edu if you have any questions