{"product_id":"the-one-dimensional-spin-1-2-annni-model-in-two-magnetic-fields-von-kunle-adegoke","title":"The one-dimensional spin-1\/2 ANNNI model in two magnetic fields","description":"\u003cp\u003eWe present results for the investigation of the one- dimensional spin-1\/2 Axial Next Nearest Neighbour  Ising (ANNNI) model in perpendicular magnetic  fields. As a starting point we obtain an estimate of  the phase diagram of the model by treating the spins  as classical vectors. This is followed by an  investigation of the ground state of the one- dimensional spin-1\/2 ANNNI model in a longitudinal  magnetic field. By using the symmetries of the  Hamiltonian, we are able to do energy classification  for the longitudinal ANNNI model. We find that there  are four different possible ground state  configurations for the longitudinal ANNNI model, in  the thermodynamic limit. Rayleigh Schroedinger  perturbation series for the ground state energy of  the ANNNI model in non-commuting fields are then  developed in each of the four ordered regions. Order  parameters and the associated susceptibilities as  well as specific heats are calculated. By  application of the finite-size scaling technique the  phase boundaries of the model are obtained  numerically. For certain limits of the full  Hamiltonian we compare the obtained results with the  existing literature.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838389370\"\u003e\u003ch3\u003econtinuous quantum phase transitions\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838389370","offer_id":39499023188061,"sku":"9783838389370","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ec840c74-e18c-4d8f-886e-10c3740bc3f4.jpg?v=1759296082","url":"https:\/\/shop.autorenwelt.de\/en\/products\/the-one-dimensional-spin-1-2-annni-model-in-two-magnetic-fields-von-kunle-adegoke","provider":"Autorenwelt Shop","version":"1.0","type":"link"}