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Recent high-resolution angle-resolved photoemission spectroscopy experiments have given a reason to believe that pure bismuth is topologically non-trivial semimetal. We derive an analytic theory of surface and size-quantized states of Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 V. V. Enaldiev , V. A. Volkov

Landau levels perturbed by a periodic potential is a prime setting to design quantum systems with exotic fractal spectra. Motivated by recent advances in twistronics, we introduce `Hofstadter quasicrystal' problem describing Landau levels…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Kirill Kozlov , Grigor Adamyan , Mariia Kryvoruchko , Yelizaveta Kulynych , Leonid Levitov

We show that the low-energy density of quasiparticle states in the mixed state of ultra-clean d-wave superconductors is characterized by pronounced quantum oscillations in the regime where the cyclotron frequency $\hbar\omega_c \ll…

Superconductivity · Physics 2008-07-03 A. Melikyan , O. Vafek

Quantum criticality within Dirac fermions harbors a plethora of exotic phenomena, attracting sustained attention in the past decades. Here, we explore the imaginary-time relaxation dynamics in a typical Dirac quantum criticality belonging…

Strongly Correlated Electrons · Physics 2026-02-26 Yin-Kai Yu , Zhi Zeng , Yu-Rong Shu , Zi-Xiang Li , Shuai Yin

Conventional magneto-oscillations of conductivity in three dimensions are washed out as the temperature exceeds the spacing between the Landau levels. This is due to smearing of the Fermi distribution. In two dimensions, in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 M. E. Raikh

For the innovation of spintronic technologies, Dirac materials, in which the low-energy excitation is described as relativistic Dirac fermions, are one of the most promising systems, because of the fascinating magnetotransport associated…

Strongly Correlated Electrons · Physics 2017-03-14 H. Masuda , H. Sakai , M. Tokunaga , Y. Yamasaki , A. Miyake , J. Shiogai , S. Nakamura , S. Awaji , A. Tsukazaki , H. Nakao , Y. Murakami , T. H. Arima , Y. Tokura , S. Ishiwata

The plasmon frequency in standard electron gases with a parabolic single-particle dispersion is a purely classical quantity that is not sensitive to electron interactions or the equation of state. We demonstrate that this canonical result…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Johannes Hofmann

The magnetoresistance (MR) of a material is typically insensitive to reversing the applied field direction and varies quadratically with magnetic field in the low-field limit. Quantum effects [1], unusual topological band structures [2],…

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

The Fourier transform of the observed magnetic quantum oscillations (MQO) in YBa$_{2}$Cu$_{3}$O$_{6+\delta }$ high-temperature superconductors has a prominent low-frequency peak with two smaller neighbouring peaks. The separation and…

Superconductivity · Physics 2017-10-27 Pavel D. Grigoriev , Timothy Ziman

Metals typically have multiple Fermi surface sheets, and when they enter the superconducting state, some electrons on these sheets may remain uncondensed, or their superconducting pairs can be rapidly destroyed by a magnetic field.…

We report quantum oscillation measurements on CaFe2As2 under strong magnetic fields- recently reported to become superconducting under pressures of as little as a kilobar. The largest observed carrier pocket occupies less than 0.05 % of the…

Superconductivity · Physics 2009-02-10 N. Harrison , R. D. McDonald , C. H. Mielke , E. D. Bauer , F. Ronning , J. D. Thompson

We study the effects of an external magnetic field on the superconducting properties of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. An explicit expression for the superconducting gap is obtained as a…

Superconductivity · Physics 2008-11-26 E. C. Marino , Lizardo H. C. M. Nunes

Periodic systems feature the Hofstadter butterfly spectrum produced by Brown--Zak minibands of electrons formed when magnetic field flux through the lattice unit cell is commensurate with flux quantum and manifested by magneto-transport…

We have studied the electronic structure of electron-doped cuprate superconductors via measurements of high-field Shubnikov-de Haas oscillations in thin films. In optimally doped Pr$_{2-x}$Ce$_{x}$CuO$_{4\pm\delta}$ and…

Superconductivity · Physics 2018-05-09 J S Higgins , M K Chan , Tarapada Sarkar , R D McDonald , R L Greene , N P Butch

The quantum oscillation data from a whole variety of underdoped HTSC systems and physical measurements has almost universally been presented in very classical terms following the Lifshitz-Kosevich formulation for Fermi-Landau…

Superconductivity · Physics 2011-11-07 John A. Wilson

We report magnetoresistance oscillations in high magnetic fields, B, up to 45 T and over a wide range of temperature in the Mott-like system Ca3Ru2O7. For B rotating within the ac-plane, slow and strong Shubnikov-de Haas (SdH) oscillations…

Strongly Correlated Electrons · Physics 2009-11-11 V. Durairaj , X. N. Lin , Z. X. Zhou , S. Chikara , E. Ehami , A. Douglass , P. Schlottmann , G. Cao

The semi-classical Lifshitz-Kosevich (LK) description of quantum oscillations is extended to a multiband two-dimensional Fermi liquid with a constant number of electrons. The amplitudes of novel oscillations with combination frequencies,…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , A. M. Bratkovsky

Type-II semi-Dirac fermions in two dimensions have been proposed to describe topologically nontrivial low-energy excitations in titanium/vanadium oxide heterostructures. These quasiparticles appear at the merger of three Dirac cones,…

Strongly Correlated Electrons · Physics 2026-05-19 Mohamed M. Elsayed , Taras I. Lakoba , Valeri N. Kotov

Two-dimensional and three-dimensional massless Dirac fermions can form a sequence of quasibound states with an attractive charged impurity. These quasibound states exhibit a discrete scaling symmetry, i.e., the energy ratio between two…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Mingyuan Sun