Ciro Santilli @cirosantilli 37

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Phase diagram by

Ciro Santilli 37 Updated 2025-07-16

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Integer quantum Hall effect by

Ciro Santilli 37 Updated 2025-07-16

Figure 1. Source.

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Theories of Quantum Matter by Austen Lamacraft / Many Body Wavefunctions / Bosons and Fermions by

Ciro Santilli 37 Updated 2025-07-16

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Theories of Quantum Matter by Austen Lamacraft / Many Body Wavefunctions / The 1D Fermi Gas by

Ciro Santilli 37 Updated 2025-07-16

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Theories of Quantum Matter by Austen Lamacraft / Quantum Hall Effect / Fractional Quantum Hall Effect by

Ciro Santilli 37 Updated 2025-07-16

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Theories of Quantum Matter by Austen Lamacraft / Quantum Hall Effect / Appendix by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/quantum-hall-effect/#appendix

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / The Classical System by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#the-classical-system

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Quantum Oscillators by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#quantum-oscillators

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Theories of Quantum Matter by Austen Lamacraft / The Elastic Chain / Appendix by

Ciro Santilli 37 Updated 2025-07-16

austen.uk/courses/tqm/elastic-chain/#appendix

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Impenetrable Bose Gas by

Ciro Santilli 37 Updated 2025-07-16

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Ciro Santilli 37 Updated 2025-07-16

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Landau quantization by

Ciro Santilli 37 Updated 2025-07-16

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Two-dimensional electron gas by

Ciro Santilli 37 Updated 2025-07-16

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Fractional quantum Hall effect for

ν = 1/ m

by

Ciro Santilli 37 Updated 2025-07-16

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Fractional quantum Hall effect for

ν \neq = 1/ m

by

Ciro Santilli 37 Updated 2025-07-16

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Solution of the Ising model by

Ciro Santilli 37 Updated 2025-07-16

TODO what it means to solve an Ising model in general?

stanford.edu/~jeffjar/statmech/lec4.html gives some good notions:

$< σ_{i} >$ is the expectation value of the value. It is therefore a number between -1.0 an and 1.0, -1.0 means everything is always down, 0.0 means half up half down, and 1.0 means all up
$< σ_{i} σ_{j} >$ : correlation between neighboring states. TODO.

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1D Ising model by

Ciro Santilli 37 Updated 2025-07-16

Bibliography:

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2D Ising model by

Ciro Santilli 37 Updated 2025-07-16

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3D Ising model by

Ciro Santilli 37 Updated 2025-07-16

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Curie temperature by

Ciro Santilli 37 Updated 2025-07-16

Figure 1.
Variation of saturation magnetisation with temperature for Nickel
. Source. This graph shows what happens when you approach the Curie temperature from below.

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