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A novel result in $\mathbb Z_2$-equivariant homotopy theory is stated, proven, and applied to the topological classification of classically frustrated magnets in the presence of canonical time-reversal symmetry. This result generalizes a…

Mathematical Physics · Physics 2025-07-03 Shayan Zahedi

We have investigated the superconducting state of the noncentrosymmetric superconductor Re6Ti (Tc = 6.0 K) using muon-spin rotation/relaxation (muSR) technique. The zero-field muon experiment shows the presence of spontaneous magnetic…

Superconductivity · Physics 2018-03-21 D. Singh , K. P. Sajilesh , J. A. T. Barker , D. McK. Paul , A. D. Hillier , R. P. Singh

Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast,…

Superconductivity · Physics 2024-05-10 Sourav Manna , Sanjib Kumar Das , Bitan Roy

A delicate tension complicates the relationship between the topological magnetoelectric effect (TME) in three-dimensional (3D) $\mathbb{Z}_2$ topological insulators (TIs) and time-reversal symmetry (TRS). TRS underlies a particular…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Perry T. Mahon , Chao Lei , Allan H. MacDonald

Realizing topological superconductivity in stoichiometric materials is a key challenge in condensed matter physics. Here, we report the discovery of ternary germanide superconductors, $M$IrGe ($M$ = Ti, Hf), as prime candidates for…

Topological crystalline superconductors have attracted rapidly rising attention due to the possibility of higher-order phases, which support Majorana modes on boundaries in $d-2$ or lower dimensions. However, although the classification and…

Superconductivity · Physics 2021-03-24 Sheng-Jie Huang , Yi-Ting Hsu

A growing number of superconducting materials display evidence for spontaneous time-reversal symmetry breaking (TRSB) below their critical transition temperatures. Precisely what this implies for the nature of the superconducting ground…

Superconductivity · Physics 2024-05-22 Brian M. Andersen , Andreas Kreisel , P. J. Hirschfeld

The symmetry properties of the order parameter characterize different phases of unconventional superconductors. In the case of the heavy-fermion superconductor UPt$_3$, a key question is whether its multiple superconducting phases preserve…

Superconductivity · Physics 2014-10-07 E. R. Schemm , W. J. Gannon , C. M. Wishne , W. P. Halperin , A. Kapitulnik

Topological insulators (TI) realize a novel state of quantum matter that are distinguished by topological invariants of bulk band structure rather than spontaneously broken symmetries. A number of exotic quantum phenomena have been…

Mesoscale and Nanoscale Physics · Physics 2012-01-26 H. Lin , L. A. Wray , Y. Xia , S. Jia , R. J. Cava , A. Bansil , M. Z. Hasan

In conventional and high transition temperature copper oxide and iron pnictide superconductors, the Cooper pairs all have even parity. As a rare exception, Sr$_2$RuO$_4$ is the first prime candidate for topological chiral p-wave…

Superconductivity · Physics 2015-06-15 Q. -H. Wang , C. Platt , Y. Yang , C. Honerkamp , F. C. Zhang , W. Hanke , T. M. Rice , R. Thomale

We study theoretically the topological surface states (TSSs) and the possible surface Andreev bound states (SABSs) of Cu$_{x}$Bi$_{2}$Se$_{3}$ which is known to be a topological insulator at $x=0$. The superconductivity (SC) pairing of this…

Superconductivity · Physics 2017-11-02 Lei Hao , C. S. Ting

We systematically study topological phases of insulators and superconductors (SCs) in 3D. We find that there exist 3D topologically non-trivial insulators or SCs in 5 out of 10 symmetry classes introduced by Altland and Zirnbauer within the…

Mesoscale and Nanoscale Physics · Physics 2009-06-15 Andreas P. Schnyder , Shinsei Ryu , Akira Furusaki , Andreas W. W. Ludwig

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Youichi Yanase

A theory for tunneling spectroscopy in normal metal /insulator/triplet superconductor junction is presented. We assume two kinds of non-unitary triplet superconducting states which are the most promising states for Sr$_{2}$RuO$_{4}$. The…

Superconductivity · Physics 2009-10-30 M. Yamashiro , Y. Tanaka , S. Kashiwaya

We report a new, cleavable, strong-topological-metal, Zr2Te2P, which has the same tetradymite-type crystal structure as the topological insulator Bi2Te2Se. Instead of being a semiconductor, however, Zr2Te2P is metallic with a pseudogap…

Materials Science · Physics 2016-02-17 Huiwen Ji , I Pletikosić , Q. D. Gibson , Girija Sahasrabudhe , T. Valla , R. J. Cava

Superconductivity is associated with spontaneously broken gauge symmetry. In some exotic superconductors the time-reversal symmetry is broken as well, accompanied with internal magnetic field. A time-reversal symmetry broken (TRSB)…

Superconductivity · Physics 2011-03-18 Xiao Hu , Zhi Wang

A topological superconductor (TSC) is characterized by the topologically-protected gapless surface state that is essentially an Andreev bound state consisting of Majorana fermions. While a TSC has not yet been discovered, the doped…

Superconductivity · Physics 2011-11-16 Satoshi Sasaki , M. Kriener , Kouji Segawa , Keiji Yada , Yukio Tanaka , Masatoshi Sato , Yoichi Ando

A topological superconductor is characterized by having a pairing gap in the bulk and gapless self-hermitian Majorana modes at its boundary. In one dimension, these are zero-energy modes bound to the ends, while in two dimensions these are…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Arbel Haim , Yuval Oreg

Superconducting properties of the polycrystalline Zr2Ru3Si4 were investigated by the electrical resistivity, magnetization and specific heat. By these measurements, bulk superconductivity with transition temperature Tc = 5.5 K was…

Superconductivity · Physics 2014-01-09 Soshi Ibuka , Motoharu Imai , Takashi Naka , Mitsuaki Nishio

Topological superconductivity is a long-sought state of matter in bulk materials, and odd-parity superconductor UTe$_2$ is a prime candidate. The recent observation of a field-trainable spontaneous Kerr signal in UTe$_2$ at the onset of…