{"publication_status":"published","date_published":"2016-11-01T00:00:00Z","issue":"3","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p &gt; 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity."}],"type":"journal_article","file":[{"date_updated":"2020-07-14T12:44:42Z","date_created":"2018-12-12T10:09:02Z","file_size":794983,"file_id":"4725","checksum":"3c6e08c048fc462e312788be72874bb1","relation":"main_file","access_level":"open_access","creator":"system","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf","content_type":"application/pdf"}],"day":"01","month":"11","date_updated":"2021-01-12T06:49:40Z","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","title":"Periodic striped ground states in Ising models with competing interactions","status":"public","oa_version":"Published Version","oa":1,"date_created":"2018-12-11T11:51:11Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer","scopus_import":1,"citation":{"mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>.","ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” <i>Communications in Mathematical Physics</i>, vol. 347, no. 3. Springer, pp. 983–1007, 2016.","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. 2016;347(3):983-1007. doi:<a href=\"https://doi.org/10.1007/s00220-016-2665-0\">10.1007/s00220-016-2665-0</a>","apa":"Giuliani, A., &#38; Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s00220-016-2665-0\">https://doi.org/10.1007/s00220-016-2665-0</a>.","ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007."},"_id":"1291","pubrep_id":"688","language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Communications in Mathematical Physics","author":[{"full_name":"Giuliani, Alessandro","first_name":"Alessandro","last_name":"Giuliani"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"page":"983 - 1007","doi":"10.1007/s00220-016-2665-0","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The\r\nresearch leading to these results has received funding from the European Research Council under the European\r\nUnion’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN National Grant Geometric and analytic theory of Hamiltonian systems in finite and infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27. Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems, random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully acknowledged.","file_date_updated":"2020-07-14T12:44:42Z","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"ddc":["510","530"],"intvolume":"       347","publist_id":"6025","volume":347,"year":"2016"}