prikaz prve stranice dokumenta Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta
  Download
PDF 407.97 KB
master's thesis
Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:080906
Palle, Grgur
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Palle, G. (2020). Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:080906

Palle, Grgur. "Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:080906

Palle, Grgur. "Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:080906

Palle, G. (2020). 'Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:080906

Palle G. Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:080906

G. Palle, "Fizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:080906

Metadata
TitleFizikalna ograničenja Hohenberg-Mermin-Wagnerovog argumenta
Title (english)Physical limitations of the Hohenberg-Mermin-Wagner argument
AuthorGrgur Palle
MentorDenis Sunko (mentor)
Committee memberDenis Sunko (predsjednik povjerenstva)
Committee memberIvan Kupčić (član povjerenstva)
Committee memberMiroslav Požek (član povjerenstva)
Committee memberDanko Radić (član povjerenstva)
Committee memberMihael Srđan Grbić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2020-09-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Hohenberg–Mermin–Wagnerov (HMW) teorem egzaktan je rezultat koji zabranjuje spontano narušenje neprekidnih simetrija za brojne modele u jednoj i dvjema dimenzijama. U ovome radu istražili smo fizikalna ograničenja ovoga teorema. U poglavlju 1 temeljito razmatramo HMW argument i uloge svih njegovih sastavnih dijelova. U istome poglavlju istražujemo osjetljivost HMW argumenta na konačnost sustava i smetnje koje narušavaju simetrije te ustvrđujemo da je argument u dvjema dimenzijama iznimno osjetljiv na oba učinka, dok u jednoj dimenziji nije. Energetska skala koja se prirodno pojavljuje u HMW argumentu određuje koliko je izražena ta osjetljivost. Zatim, u poglavlju 2, dokazujemo jedan vrlo općenit HMW teorem za supravodiču te istražujemo njegovu osjetljivost i mogućnosti daljnjeg poopćenija. Za sustave koji nisu astronomskih veličina, ustanovili smo da je u dvije dimenzije HMW argument, ali i infracrvene fluktuacije općenitije, previše slab da bi potisnuo supravodljivo uređenje. Rad završavamo novim argumentom koji daje netrivijalnu gornju među na temperaturu supravodljivog prijelaza.
Abstract (english)
The Hohenberg–Mermin–Wagner (HMW) theorem is an exact result which rules out the spontaneous breaking of continuous symmetries for a variety of model systems in one and two dimensions. In this thesis, we explore the physical limitations of this theorem. An in-depth discussion of the HMW argument and how all of its parts fit together is given in Chapter 1. In the same chapter, we explore the sensitivity of the HMW argument to finite-size effects and symmetry-breaking perturbations and establish that in two dimensions it is exceptionally sensitive to both, whereas in one dimension it is not. The energy scale that naturally appears in the HMW argument determines how acute this sensitivity is. Afterwards, in Chapter 2 we prove a very general HMW theorem for superconductors and explore its sensitivity and possible further generalizations. For systems of non-astronomical size, we find that in two dimensions the HMW argument, and infrared fluctuations more generally, are too weak to suppress superconducting order. We conclude this work with a novel argument that gives a nontrivial upper bound on the superconducting transition temperature.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:080906
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-02-01 12:02:27