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The cluster chain with $\mathbb{Z}_p \times \mathbb{Z}_p$ symmetry-protected topological (SPT) order is decomposed into two distinct bilinear parafermionic chains, each possessing intrinsic topological order. These chains are formed by…

Strongly Correlated Electrons · Physics 2025-05-15 Tigran Hakobyan , Raffi Varosyan

Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a general universality class, which corresponds…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Alexei Kitaev

Many model quantum spin systems have been proposed to realize critical points or phases described by 2+1 dimensional conformal gauge theories. On a torus of size $L$ and modular parameter $\tau$, the energy levels of such gauge theories…

Strongly Correlated Electrons · Physics 2017-05-31 Alex Thomson , Subir Sachdev

Chiral $p$-wave superconducting state supports a rich spectrum of topological excitations different from those in conventional superconducting states. Besides domain walls separating different chiral states, chiral $p$-wave state supports…

Superconductivity · Physics 2016-04-21 Julien Garaud , Egor Babaev

A spin-U(1)-symmetry protected momentum-dependent integer-$Z$-valued topological invariant is proposed to time-reversal-invariant (TRI) superconductivity (SC) whose nonzero value will lead to exactly flat surface band(s). The theory is…

Superconductivity · Physics 2020-07-20 Cheng-Cheng Liu , Chen Lu , Li-Da Zhang , Xianxin Wu , Chen Fang , Fan Yang

We present a detailed study of the gap symmetry and the quasiparticle wave function topology in two-dimensional superconductors without inversion center. The strong spin-orbit coupling of electrons with the crystal lattice makes it…

Superconductivity · Physics 2015-12-09 K. V. Samokhin

The coexistence of Ferromagnetism and superconductivity in so called ferromagnetic superconductors is an intriguing phenomenon which may lead to novel physical effects as well as applications. Here in this work we have explored the…

Superconductivity · Physics 2025-07-23 Shantonu Mukherjee , Amitabha Lahiri

We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inversion symmetry breaking order. We first show that the fluctuations of the inversion symmetry breaking order lead to two degenerate…

Strongly Correlated Electrons · Physics 2016-04-29 Yuxuan Wang , Gil Young Cho , Taylor L. Hughes , Eduardo Fradkin

Topologically nontrivial states, the solitons, emerge as elementary excitations in 1D electronic systems. In a quasi 1D material the topological requirements originate the spin- or charge- roton like excitations with charge- or spin- kinks…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Brazovskii

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

Superconductivity · Physics 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

We study the thermoelectric transport in two dimensional topological system which has coexistence of superconductivity(SC) and spin-density wave(SDW). The SC is presumed to be of $d_{x^2-y^2}+(p_x + i p_y) $ type whereas the SDW order…

Superconductivity · Physics 2016-02-17 Amit Gupta , Debanand Sa

We study the conductance fluctuation in topological semimetals. Through statistic distribution of energy levels of topological semimetals, we determine the dominant parameters of universal conductance fluctuation (UCF), i.e., the number of…

Disordered Systems and Neural Networks · Physics 2017-10-25 Yayun Hu , Haiwen Liu , Hua Jiang , X. C. Xie

We introduce the concept of super universality in quantum Hall and spin liquids which has emerged from previous studies. It states that all the fundamental features of the quantum Hall effect are generically displayed as general topological…

Strongly Correlated Electrons · Physics 2009-11-11 A. M. M. Pruisken , R. Shankar , Naveen Surendran

We study the localization properties of disordered d-wave superconductors by means of the fermionic replica trick method. We derive the effective non-linear sigma-model describing the diffusive modes related to spin transport which we…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luca Dell'Anna

In our brief review, we will consider the general universal scaling properties of superconductors. The physics of superconductors, represented by both conventional and unconventional superconductors, has been the main topic of high-$T_c$…

Superconductivity · Physics 2025-12-05 V. R. Shaginyan , A. Z. Msezane , S. A. Artamonov

We derive the universal relations for an ultracold two-component Fermi gas with spin-orbit coupling (SOC) $\sum_{\alpha,\beta=x,y,z}\lambda_{\alpha\beta}\sigma_{\alpha}p_{\beta}$, where $p_{x,y,z}$ and $\sigma_{x,y,z}$ are the single-atom…

Quantum Gases · Physics 2018-05-09 Jianwen Jie , Ran Qi , Peng Zhang

Collective modes in two dimensional topological superconductors are studied by an extended random phase approximation theory while considering the influence of vector field of light. In two situations, the s-wave superconductors without…

Superconductivity · Physics 2019-05-07 Li Mao , Hongxing Xu

We postulate the second-order derivative equation with four parameters for spin-1/2 fermions possessing two mass states. For some choice of parameters fermions propagate with the superluminal speed. Thus, the novel tachyonic equation is…

High Energy Physics - Phenomenology · Physics 2012-06-11 S. I. Kruglov

The stability of high-pressure phases of P has been studied using density functional theory and the local density approximation. Using a linear response technique, we have calculated the phonon spectrum and electron-phonon interaction for…

Superconductivity · Physics 2009-11-10 S. Ostanin , V. Trubitsin , J. B. Staunton , S. Y. Savrasov

Spin superfluids enable long-distance spin transport through classical ferromagnets by developing topologically stable magnetic textures. For small spins at low dimensions, however, the topological protection suffers from strong quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 Silas Hoffman , Daniel Loss , Yaroslav Tserkovnyak