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Phase diagrams and electronic transport properties of the helical states in purely two-dimensional (2D) Rashba superconductors coupled with in-plane Zeeman fields are studied. The continuum XY action is derived microscopically by…

Superconductivity · Physics 2025-03-17 Naratip Nunchot , Youichi Yanase

We consider the interacting helical liquid system at the one-dimensional edge of a two-dimensional topological insulator, coupled to an external magnetic field and s-wave superconductor and map it to an XYZ spin chain system. This model…

Statistical Mechanics · Physics 2021-01-18 Ranjith Kumar R , Rahul S , Surya Narayan , Sujit Sarkar

We demonstrate that spin-charge separation can occur in two dimensions and note its confluence with superconductivity, topology, gauge theory, and fault-tolerant quantum computation. We construct a microscopic Ising-like model and, at a…

Strongly Correlated Electrons · Physics 2011-06-07 Chetan Nayak , Kirill Shtengel

The phase transitions between the XY, the dimer and the Haldane phases of the spin-1 bond-alternating XXZ chain are studied by the numerical diagonalization. We determine the phase diagram at $T=0$ and also identify the universality class…

Condensed Matter · Physics 2009-10-28 Atsuhiro Kitazawa , Kiyohide Nomura , Kiyomi Okamoto

We experimentally investigate the first-order correlation function of a trapped Fermi gas in the two-dimensional BEC-BCS crossover. We observe a transition to a low-temperature superfluid phase with algebraically decaying correlations. We…

Quantum Gases · Physics 2015-07-03 P. A. Murthy , I. Boettcher , L. Bayha , M. Holzmann , D. Kedar , M. Neidig , M. G. Ries , A. N. Wenz , G. Zürn , S. Jochim

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corresponds to an insulator-conductor transition driven by charge…

Statistical Mechanics · Physics 2016-10-31 Michael F. Faulkner , Steven T. Bramwell , Peter C. W. Holdsworth

A phase diagram for a 2D metal with variable carrier density has been derived. It consists of a normal phase, where the order parameter is absent; a so-called ``abnormal normal'' phase where this parameter is also absent but the mean number…

Superconductivity · Physics 2009-10-30 Valery P. Gusynin , Vadim M. Loktev , Sergei G. Sharapov

We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral…

High Energy Physics - Theory · Physics 2014-11-20 Nabil Iqbal , Hong Liu , Márk Mezei , Qimiao Si

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

Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the 2D sine-Gordon model, plays an important role in the low dimensional physics. We relate the operator content of the BKT transition to that of the SU(2)…

Statistical Mechanics · Physics 2008-11-26 Kiyohide Nomura , Atsuhiro Kitazawa

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

In the two-dimensional superfluidity, the proliferation of the vortices and the anti-vortices results in a new class of phase transition, Berezinskii-Kosterlitz-Thouless (BKT) transition. This class of the phase transitions is also…

Strongly Correlated Electrons · Physics 2009-11-13 Chyh-Hong Chern

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one…

Quantum Gases · Physics 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

We theoretically investigate the superfluid-normal-state Berezinskii-Kosterlitz-Thouless transition in a binary mixture of bosonic atoms with Rabi coupling under balanced densities. We find the nonmonotonic behavior of the transition…

Quantum Gases · Physics 2023-04-21 Koichiro Furutani , Andrea Perali , Luca Salasnich

We study the superconducting state in the presence of spin-orbital coupling and the Zeeman field. It is found that a phase transition from the Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon…

Superconductivity · Physics 2014-06-13 Tao Zhou , Yi Gao , Z. D. Wang

We have considered two classical lattice-gas models, consisting of particles that carry multicomponent magnetic momenta, and associated with a two-dimensional square lattices; each site can host one particle at most, thus implicitly…

Statistical Mechanics · Physics 2007-05-23 H Chamati , S Romano

We study the Berezinskii-Kosterlitz-Thouless transition of two-dimensional Bose gases in a synthetic magnetic field using the standard Metropolis Monte Carlo method. The system is described by the frustrated XY model and the critical…

Quantum Gases · Physics 2013-05-30 Junjun Xu , Qiang Gu

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 introduce topological phases of matter defined by skyrmions in the ground state spin -- or pseudospin -- expectation value textures in the Brillouin zone, the chiral and helical topological skyrmion phases of matter. These phases are…

Superconductivity · Physics 2023-03-10 Ashley M. Cook