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The phase structure of a $(2+1)$ - dimensional model of relativistic fermions with a four fermi interaction is analyzed in the strong coupling regime using the large $N$ perturbation theory. It is shown that, this model exhibits a low…

High Energy Physics - Theory · Physics 2007-05-23 R. MacKenzie , P. K. Panigrahi , S. Sakhi

Using large scale Monte Carlo simulations on a uniformly frustrated 3DXY model, we report a first order vortex lattice melting transition in clean, isotropic extreme type-II $\kappa \to \infty$ superconductors. This work clarifies an…

Superconductivity · Physics 2009-10-31 S-K. Chin , A. K. Nguyen , A. Sudboe

Using large scale quantum Monte Carlo simulations of lattice bosonic models, we precisely investigate the effect of weak Josephson tunneling between 2D superfluid or superconducting layers. In the clean case, the Kosterlitz-Thouless…

Strongly Correlated Electrons · Physics 2012-10-05 Nicolas Laflorencie

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We investigate superconductor-insulator quantum phase transitions in ultrathin capacitively coupled superconducting nanowires with proliferating quantum phase slips. We derive a set of coupled Berezinskii-Kosterlitz-Thouless-like…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Alex Latyshev , Andrew G. Semenov , Andrei D. Zaikin

The Berezinskii-Kosterlitz-Thouless mechanism, in which a phase transition is mediated by the proliferation of topological defects, governs the critical behaviour of a wide range of equilibrium two-dimensional systems with a continuous…

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We study the phase-locking transition of two coupled low-dimensional superfluids, either two-dimensional superfluids at finite temperature, or one-dimensional superfluids at zero temperature. We find that the superfluids have a strong…

Other Condensed Matter · Physics 2015-06-25 L. Mathey , A. Polkovnikov , A. H. Castro Neto

The superfluid to normal fluid transition of dipolar bosons in two dimensions is studied throughout the whole density range using path integral Monte Carlo simulations and summarized in the phase diagram. While at low densities, we find…

Atomic Physics · Physics 2015-05-18 A. V. Filinov , N. V. Prokof'ev , M. Bonitz

We study the zero-temperature phase transitions of two-dimensional superconducting arrays with both the self- and the junction capacitances in the presence of external magnetic fields. We consider two kinds of excitations from the Mott…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Gun Sang Jeon , M. -S. Choi , M. Y. Choi

By means of quantum Monte Carlo simulations implemented with a two-loop update scheme, the finite-temperature phase diagram of a three-body constrained attractive Bose lattice gas is investigated. The nature of the thermal phase transitions…

Quantum Gases · Physics 2011-03-24 Kwai-Kong Ng , Min-Fong Yang

We study vortex matter in layered superconductors in the limit of zero Josephson coupling. The long range of the interaction between pancake vortices in the c-direction allows us to employ a mean-field method: all attractive inter-layer…

Superconductivity · Physics 2009-11-07 Hans Fangohr , Alexei E. Koshelev , Matthew J. W. Dodgson

One of the most relevant manifestations of the Beresinskii-Kosterlitz-Thouless transition occurs in quasi-two-dimensional superconducting systems. The experimental advances made in the last decade in the investigation of superconducting…

Superconductivity · Physics 2017-08-23 L. Benfatto , C. Castellani , T. Giamarchi

The properties of rapidly quenched superfluid phase transitions are computed for two-dimensional Kosterlitz-Thouless (KT) systems. The decay in the vortex-pair density and the recovery of the superfluid density after a quench are found by…

Statistical Mechanics · Physics 2009-10-31 Han-Ching Chu , Gary A. Williams

We analyze the thermodynamics of the atomic and (nematic) pair superfluids appearing in the attractive two-dimensional Bose-Hubbard model with a three-body hard-core constraint that has been derived as an effective model for cold atoms…

Quantum Gases · Physics 2012-07-17 Lars Bonnes , Stefan Wessel

We study the phase transition between conducting and insulating states taking place in disordered multi-channel Luttinger liquids with inter-channel interactions. We derive renormalisation group equations which are perturbative in disorder…

Strongly Correlated Electrons · Physics 2017-12-06 Max Jones , Igor V. Lerner , Igor V. Yurkevich

We study the decoupling transition of flux lattices in a layered superconductors at which the Josephson coupling J is renormalized to zero. We identify the order parameter and related correlations; the latter are shown to decay as a power…

Superconductivity · Physics 2009-11-10 Ruth Goldin , Baruch Horovitz

It is known that the loss of phase coherence of Cooper pairs in two-dimensional (2D) superconductivity corresponds to the unbinding of vortex-antivortex pairs with the quasi-long-range order (quasi-LRO) in the order-parameter phase field,…

Statistical Mechanics · Physics 2022-05-16 Feng-Feng Song , Guang-Ming Zhang

We show that four-dimensional systems may exhibit a topological phase transition analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional systems. The realisation of an engineered quantum…

Quantum Gases · Physics 2021-02-09 Nicolò Defenu , Andrea Trombettoni , Dario Zappalà

We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuations. The phase correlations decay in a slow enough manner…

Superconductivity · Physics 2007-05-23 Bogdan A. Bernevig , Zaira Nazario , David I. Santiago