BKT-paired phase in coupled XY models

  title={BKT-paired phase in coupled XY models},
  author={G Bighin and Nicol{\`o} Defenu and Istv'an N'andori and Luca Salasnich and Andrea Trombettoni},
We study the effect of a linear tunneling coupling between 2D systems, each separately exhibiting the topological Berezinskii-Kosterlitz-Thouless (BKT) transition. In the uncoupled limit, there are two phases: one where the 1-body correlation functions are algebraically decaying and the other with exponential decay. When the linear coupling is turned on, a third BKT-paired phase emerges, in which 1-body correlations are exponentially decaying, while 2-body correlation functions exhibit power… 

Figures from this paper


Bosonization and Strongly Correlated Systems
This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the
Elements of Phase Transitions and Critical Phenomena
1. Phase transitions and critical phenomena 2. Mean-field theories 3. Renormalization group and scaling 4. Implementation of the renormalization group 5. Field theory 6. Conformal field theory 7.
Physics and Applications of the Josephson Effect
Weak Superconductivity - Phenomenological Aspects. Microscopic Theory. Magnitude and Temperature Dependence of the Critical Current. ''Small'' Junctions in a Magnetic Field. Large Junctions - Static
Inhomogeneous Superconductors: Granular and Quantum Effects
This monograph provides an up-to-date introduction to the theory of quantum fluctuations in inhomogeneous superconducting materials. It is suitable as a graduate text as it has grown out of the
An Introduction to the Nonperturbative Renormalization Group
We give in these notes a short presentation of both the main ideas underlying Wilson’s renormalization group (RG) and their concrete implementation under the form of what is now called the
Exactly Solved Models in Statistical Mechanics
R J Baxter 1982 London: Academic xii + 486 pp price £43.60 Over the past few years there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved and
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
  • Rev. B 96, 174505
  • 2017
  • Rev. A 99, 063627
  • 2019
  • Rev. B 97, 094517
  • 2018