Hi All, I'm doing an undergraduate project regarding QPTs for some variation of a AF Heisenberg hamiltonian. I'm a little confused about the change in relations between the critical exponents for a QPT. Some books/papers state that the quantum system in D dimensions is mapped to a classical D + 1 dimension system at T = 0. Yet they also say that in the finite-size scaling laws, we have to change D to D + z, where z is the dynamic critical exponent. So does that mean that the universality class of the QPT is in Some D + z classical system, but beyond the critical parameter, it appears like some D + 1 classical system? Is there some kind of contradiction between these two statements, or am I missing something? I'm afraid I'm not entirely familiar with the subject so I kind of assume universality class and mapping to a new classical system are kind of the same thing. Would appreciate any help with thanks :)(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Critical Exponents for Quantum Phase Transitions

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Critical Exponents Quantum | Date |
---|---|

A On the renormalization group flow | May 27, 2016 |

Criticism of blog post on quantum pigeonhole principle | Feb 2, 2016 |

What effect would one expect if the Critical Temperature is | Dec 18, 2015 |

Criticize diagram of delayed choice quantum eraser | Dec 13, 2015 |

Conjugate of amplitude with imag. # in exponent and out of exponent? | Sep 5, 2011 |

**Physics Forums - The Fusion of Science and Community**