HW2 - Physics 127B Homework Set 2: (due January 27) Problem...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 127B – Homework Set 2: (due January 27) Problem 1: The binary alloy Problem 5.10 in Kardar, p. 155. After you do this problem, take a look at Mike Cross’ lecture 4 – you should now be able to follow general discussion of phase transitions in mixtures. Problem 2: Critical point behavior Problem 5.9 in Kardar, p. 154. If you need more guidance than provided in the problem, you can consult posted notes on the critical point behavior in the Van der Waals gas (but remember that your equation of state is diFerent). Problem 3: Classical ground states in spin models a) Consider the Heisenberg spin model with antiferromagnetic interactions, i.e., H = - J s a ij A S i · S j (1) with J < 0 ( a ij A denotes summation over nearest neighbor links). What is the classical ground state on the cubic lattice? How is the answer diFerent if the spins are XY or Ising-type? How many ground states are there in each case? b) Consider the nearest neighbor Heisenberg antiferromagnet on the triangular lattice. Show that
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/07/2012 for the course PHYS 127b taught by Professor Olexeimotrunich during the Winter '11 term at Caltech.

Page1 / 2

HW2 - Physics 127B Homework Set 2: (due January 27) Problem...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online