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We present results for asymptotic freedom like behavior for the topological state of the helical spin liquid system with finite proximity induced superconducting gap. We derive two different quantum Berezinskii-Kosterlitz-Thouless (BKT)…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Ranjith Kumar R , Rahul S , Surya Narayan , Sujit Sarkar

We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the characteristic logarithmic finite-size scaling of the BKT…

The physics of Majorana fermion occurs at the edge and interface of many one-dimensional quantum many body system with gapped excitation spectrum. We present the renormalization group equations for strongly interacting helical liquid. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Sujit Sarkar

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

We investigate the general features of the renormalization-group flow at the Berezinskii-Kosterlitz-Thouless (BKT) transition, providing a thorough quantitative description of the asymptotc critical behavior, including the multiplicative…

Statistical Mechanics · Physics 2013-03-19 Andrea Pelissetto , Ettore Vicari

We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrian Reich , Dmitriy S. Shapiro , Alexander Shnirman

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

Statistical Mechanics · Physics 2021-04-23 Mikhail Vasin

In tensor network representation, the partition function of a generalized two-dimensional XY spin model with topological integer and half-integer vortex excitations is mapped to a tensor product of one-dimensional quantum transfer operator,…

Strongly Correlated Electrons · Physics 2021-01-27 Feng-Feng Song , Guang-Ming Zhang

We find the first example of a quantum Berenzinskii-Kosterlitz-Thouless (BKT) phase transition in two spatial dimensions via holography. This transition occurs in the D3/D5 system at nonzero density and magnetic field. At any nonzero…

High Energy Physics - Theory · Physics 2014-11-20 Kristan Jensen , Andreas Karch , Dam T. Son , Ethan G. Thompson

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

A two-dimensional (2D) spin-1 Bose gas exhibits two Berezenskii-Kosterlitz-Thouless (BKT) transitions in the easy-plane ferromagnetic phase. The higher temperature transition is associated with superfluidity of the mass current determined…

Berezinskii-Kosterlitz-Thouless (BKT) transition, the topological phase transition to a quasi-long range order in a two-dimensional (2D) system, is a hallmark of low-dimensional topological physics. The recent emergence of non-Hermitian…

Quantum Gases · Physics 2021-07-23 Yun-Mei Li , Xi-Wang Luo , Chuanwei Zhang

The experimental observation of traditional Zeeman-field induced Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluids has been hindered by various challenges, in particular, the requirement of low dimensional systems. In 2D, finite…

Quantum Gases · Physics 2015-03-24 Yong Xu , Chuanwei Zhang

We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tuneable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field…

We investigate the nature of the phase transition occurring in a planar XY-model spin system with dipole-dipole interactions. It is demonstrated that a Berezinskii-Kosterlitz-Thouless (BKT) type of phase transition always takes place at a…

Statistical Mechanics · Physics 2014-05-09 A. Yu. Vasiliev , A. E. Tarkhov , L. I. Menshikov , P. O. Fedichev , Uwe R. Fischer

The Berezinskii-Kostelitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry-breaking, where a quasi-ordered phase, characterized by a power law scaling of the correlation functions at…

Statistical Mechanics · Physics 2021-10-14 Guido Giachetti , Nicolo Defenu , Stefano Ruffo , Andrea Trombettoni

We study a four-component polariton system in the optical parametric oscillator regime consisting of exciton/photon and signal/idler modes across the Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that all four components share…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 G. Dagvadorj , P. Comaron , M. H. Szymanska

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models these are vortices: above a…

Superconductivity · Physics 2026-02-27 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

We explore the implications of Berezinskii-Kosterlitz-Thouless (BKT) critical behavior and variable-range hopping on the two dimensional (2D) quantum superconductor-insulator (QSI) transition driven by tuning the gate voltage. To illustrate…

Superconductivity · Physics 2013-05-07 T. Schneider , S. Weyeneth

We employ a novel, unbiased renormalization-group approach to investigate non-equilibrium phase transitions in infinite lattice models. This allows us to address the delicate interplay of fluctuations and ordering tendencies in low…

Strongly Correlated Electrons · Physics 2020-11-17 Christian Klöckner , Christoph Karrasch , Dante Marvin Kennes
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