Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model

Details Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model

2011-02-21

arxiv.org/abs/1102.4290v1

2011 New J. Phys. 13 023015

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1367-2630/13/2/023015

We use the finite-entanglement scaling of infinite matrix product states (iMPS) to explore supposedly infinite order transitions. This universal method may have lower computational costs than finite-size scaling. To this end, we study possible MPS-based algorithms to find the ground states of the transverse axial next-nearest-neighbor Ising (ANNNI) model in a spin chain with first and second neighbor interactions and frustration. The ground state has four distinct phases with transitions of second order and one of supposedly infinite order, the Kosterlitz-Thouless transition. To explore phase transitions in the model, we study general quantities such as the correlation length, entanglement entropy and the second derivative of the energy with respect to the external field, and test the finite-entanglement scaling. We propose a scaling ansatz for the correlation length of a non-critical system in order to explore infinite order transitions. This method provides considerably less computational costs compared to the finite-size scaling method in [8], and quantities obtained by applying fixed boundary conditions (such as domain wall energy in [8]) are omitted. The results show good agreement with previous studies of finite-size scaling using DMRG.

Affiliated with

Also associated with

No associations

Rating

Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521011