Add to ORKGAn emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601, (2004). Moreover, in order to prove the relevance of topology for phase transition phenomena in a broad domain of physically interesting cases, we have proved another theorem which is reported in math-ph/0505058 and which is crucially based on the result of the paper archived in math-ph/0505057
Topological phase transitions occur in real materials as well as quantum engineered systems, all of ...
As phenomena that necessarily emerge from the collective behavior of interacting particles, phase tr...
4 pages, 3 figuresInternational audienceWe propose a definition of phase transitions in finite syste...
In this second paper, we prove a necessity theorem about the topological origin of phase transitions...
Different arguments led to supposing that the deep origin of phase transitions has to be identified ...
In this second paper, we prove a necessity Theorem about the topological origin of phase transitions...
We critically analyze the possibility of finding signatures of a phase transition by looking exclusi...
35 pages. This is an improved version of math-ph/0305032. Added minor chances: Title, Abstract, Intr...
The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the R...
The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the R...
In this first paper, we demonstrate a theorem that establishes a first step toward proving a necessa...
29 pages; 7 figuresInternational audienceDifferent arguments led to surmise that the deep origin of ...
For physical systems described by smooth, finite-range, and confining microscopic interaction potent...
5 pages, 4 figuresThe topological theory of phase transitions has its strong point in two theorems p...
The applicability of concepts from the theory of critical phenomena and phase transitions to complex...
Topological phase transitions occur in real materials as well as quantum engineered systems, all of ...
As phenomena that necessarily emerge from the collective behavior of interacting particles, phase tr...
4 pages, 3 figuresInternational audienceWe propose a definition of phase transitions in finite syste...
In this second paper, we prove a necessity theorem about the topological origin of phase transitions...
Different arguments led to supposing that the deep origin of phase transitions has to be identified ...
In this second paper, we prove a necessity Theorem about the topological origin of phase transitions...
We critically analyze the possibility of finding signatures of a phase transition by looking exclusi...
35 pages. This is an improved version of math-ph/0305032. Added minor chances: Title, Abstract, Intr...
The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the R...
The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the R...
In this first paper, we demonstrate a theorem that establishes a first step toward proving a necessa...
29 pages; 7 figuresInternational audienceDifferent arguments led to surmise that the deep origin of ...
For physical systems described by smooth, finite-range, and confining microscopic interaction potent...
5 pages, 4 figuresThe topological theory of phase transitions has its strong point in two theorems p...
The applicability of concepts from the theory of critical phenomena and phase transitions to complex...
Topological phase transitions occur in real materials as well as quantum engineered systems, all of ...
As phenomena that necessarily emerge from the collective behavior of interacting particles, phase tr...
4 pages, 3 figuresInternational audienceWe propose a definition of phase transitions in finite syste...