Nonanalyticity of circuit complexity across topological phase transitions
نویسندگان
چکیده
منابع مشابه
Topological Aspects of Phase Transitions
In the past decade and a half, an alternative analysis of phase transitions, based in the topological behavior of system configuration spaces, has been introduced. This method offers a new understanding of many phase transitions, particularly those in finite systems, using topology and manifold behavior. While the broadest hypotheses offered by researchers have proven overly optimistic, the met...
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Phase transitions in combinatorial problems have recently been shown [2] to be useful in locating “hard” instances of combinatorial problems. The connection between computational complexity and the existence of phase transitions has been addressed in Statistical Mechanics [2] and Artificial Intelligence [3], but not studied rigorously. We take a first step in this direction by investigating the...
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We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology, and energetics, we show that for a generic normal state band structure, the phase transition occurs via extended intermediate phases in which even- and odd-parity pairing components coexist. For inversion-symmetric sy...
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We study the two-dimensional topological superconductors of spinless fermions in a checkerboard-lattice Chern-insulator model. With the short-range p-wave superconducting pairing, multifarious topological quantum phase transitions have been found and several phases with high Chern numbers have been observed. We have established a rich phase diagram for these topological superconducting states. ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2020
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.101.174305