Question Bank MCQ • 1 Mark Section 5: Thermodynamics & Statistical Physics Phase transitions

QB_PH_136: Phase transitions

Question Statement

The one-dimensional Ising model with short-range interactions and zero external field:
(A) Exhibits no phase transition at any finite temperature $T > 0$
(B) Has a ferromagnetic transition at $T_c = 2.27 J/k_B$
(C) Has spontaneous magnetization at all temperatures
(D) Is always superconducting
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Ernst Ising proved that 1D short-range Ising models have no spontaneous magnetization at $T > 0$.
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