Seeking advice on how to study condensed matter theory

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Discussion Overview

The discussion focuses on strategies for studying condensed matter theory (CMT), particularly in building intuition and connecting various concepts within the field. Participants explore different approaches to learning, including recommendations for textbooks and methods of self-study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant seeks advice on how to connect concepts and build intuition in condensed matter, expressing difficulty in seeing connections between problems.
  • Another participant mentions their future work will involve Green's function calculations of strongly coupled electron/phonon systems.
  • Participants suggest that the variety of topics covered in different textbooks (e.g., Mahan, Fetter & Walecka, Ashcroft & Mermin) can make it challenging to find a cohesive understanding.
  • It is noted that undergraduate texts may differ significantly in their approaches and assumptions about prior knowledge, leading to a recommendation to select a few preferred texts for deeper study.
  • One participant advises a "center out" approach to self-studying, suggesting that focusing on a specific idea or system can help connect broader concepts in physics.
  • Personal experiences are shared, such as the impact of specific lab sections on understanding and motivation in the field.

Areas of Agreement / Disagreement

Participants generally agree on the challenges of studying CMT and the importance of selecting appropriate resources, but there is no consensus on a singular method or approach to effectively build intuition and connect concepts.

Contextual Notes

Participants express varying levels of familiarity with different areas of mathematics and physics, which may influence their recommendations and approaches to studying CMT.

Who May Find This Useful

Students and researchers interested in condensed matter theory, particularly those seeking guidance on study strategies and resource selection.

physicsxanime
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TL;DR Summary: I am asking for how to study CMT

Any advice in connecting concepts and building intuition for condensed matter? Sometimes I can do some problems operationally, but I can't see connection between different problems and doesn't have a mental model or intuition?
I can think of read more books and do problem. What else would you advice? Especially for research frontier when there are no problem set
Any help will be appreciated
 
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For context:
I will work on more or less green's function calculations of strongly coupled electrons/phonons systems in the future
 
What is your educational background in physics and math?
 
I have a standard undergrad background + some grad experience. (I switched from cosmology when I get my master to CMT).
Basically, I am fine with quantum mechanics, I took QFT before but quite rusty.
As for math, I am fine with complex analysis, differential equations, no good on group theory, topology and differential geometry.
 
physicsxanime said:
TL;DR Summary: I am asking for how to study CMT

Any advice in connecting concepts and building intuition for condensed matter? Sometimes I can do some problems operationally, but I can't see connection between different problems and doesn't have a mental model or intuition?
I can think of read more books and do problem. What else would you advice? Especially for research frontier when there are no problem set
Any help will be appreciated
It is indeed patchy. Any book that you will take (Mahan, Fetter&Walecka, Aschroft&Mermin) will have different systems to study in each chapter because condensed matter is huge and there are many technicalities.
 
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Also the undergraduate texts are sometimes quite dissimilar in approach and in presumptions about your knowledge. So find a few texts you like and use them predominantly. Personally I like Ashcroft and Mermin and Charles Kittel (although my Kittel is on overdue loan to a former colleague, I suddenly realize!)
I always advise "center out" self-studying. So figure out a specific idea or system you wish to understand well and fill in your knowledge around that This will connect you eventually to all of physics For instance, as a sophomore I had a very good lab section about Nuclear Magnetic Resonance. I became familiar with some of the nuances and that became a kind of touchstone for me going forward. There was also an experiment using Laue Xray diffraction which similarly motivated me. Good QM, EM and maths background is required to keep from being inundated in such a pursuit.
 

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