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Showing 1 to 20 of 32 for “"topological phase"”.

  1. Geometry and topological phase of matter

    … field theories of isotropic-nematic quantum phase transitions of Quantum states. The low-energy theory of the nematic field has z=2 dynamics due to a Berry phase of the order parameter, which is related to the Hall viscosity in parity and time-reversal-symmetry (TRS) broken states. The vortex …

    uiuc Repository record for Geometry and topological phase of matter (opens in a new tab)

  2. Delocalization phenomena in strongly disordered systems

    … state that arises at disorder-induced topological phase transitions. Anderson transitions in this case occur between insulating phases, with the emergence of critical states at the transition point. Through a mapping to a disordered spin chain, we provide a real-space description of the …

    uiuc Repository record for Delocalization phenomena in strongly disordered systems (opens in a new tab)

  3. Angle-resolved photoemission and first-principles studies of topological semimetals and heterostructures

    Topologically nontrivial systems are electronic materials that have protected conducting states on their edge or surface. These widely studied materials are of great interest due to their exotic physical properties and potential for applications in spin-related electronic devices and quantum …

    uiuc Repository record for Angle-resolved photoemission and first-principles studies of topological semimetals and heterostructures (opens in a new tab)

  4. Topological materials and quantum entanglement

    … of two main topics: materials which realize topological phases of matter and applications of the concept of entanglement in understanding topological phases and their transitions. The first part will focus on a particular class of materials called topological crystalline insulators (TCI), …

    mit Repository record for Topological materials and quantum entanglement (opens in a new tab)

  5. Strong correlations and topological order in one-dimensional systems

    … of strongly correlated systems as well as topologically ordered systems in 1D. Non-Fermi liquid behavior characteristic of interacting 1D electron systems is investigated with an emphasis on experimentally relevant setups and observables. The existence of end Majorana fermions in a 1D …

    uiuc Repository record for Strong correlations and topological order in one-dimensional systems (opens in a new tab)

  6. Light-induced States and Phase Transitions in Quantum Materials investigated by Photoemission Spectroscopy and Epitaxial Synthesis

    … matter physics, a field of the study on phases of matter and their transitions, light-induced states and phase transitions have attracted significant attention due to their importance in both fundamental research and applications. This thesis will specifically delve into three compelling …

    mit Repository record for Light-induced States and Phase Transitions in Quantum Materials investigated by Photoemission Spectroscopy and Epitaxial Synthesis (opens in a new tab)

  7. Majorana-based Topological Quantum Algorithms in Magnet-Superconductor Hybrid Structures

    Majorana zero modes harbored by topological superconductors may be the key ingredient for the realization of fault-tolerant quantum computing and topologically protected quantum devices. Magnet-superconductor hybrid (MSH) systems have proven to be an experimentally versatile platform for quantum …

    uic

  8. Strongly Correlated Electronic Matter: Phases and their Transport

    … It can broadly be divided into two categories: phases of matter and their transport. My research into phases of matter has been concerned with the low energy properties of interacting electrons at fractional filling of an underlying lattice. I, along with collaborators, have shown that it is …

    mit Repository record for Strongly Correlated Electronic Matter: Phases and their Transport (opens in a new tab)

  9. Hollow condensates, topological ladders and quasiperiodic chains

    … on the physics of localized edge modes and topological phases in quasi-one-dimensional ladder models. For all three topics we maintain a focus on experimentally accessible, physically realistic systems and explicitly discuss experimental implementations of our work or its implications for …

    uiuc Repository record for Hollow condensates, topological ladders and quasiperiodic chains (opens in a new tab)

  10. Quantum Transport in Topological Phases of Matter

    Topological phases of matter attract constant attention in the condensed matter physics community, both due to the fundamental yet simple principles that govern them, and a multitude of experimental observations with the potential for technological applications. Among the ways of studying such …

    mit Repository record for Quantum Transport in Topological Phases of Matter (opens in a new tab)

  11. On numerical methods in quantum spin systems

    … the reader with necessary concepts in physics of phase transitions and numerical methods that are often employed when studying ground states of quantum many body systems. Part II focuses on the research projects carried out during my PhD research. In chapter 4 I present a machine-learning inspired …

    uiuc Repository record for On numerical methods in quantum spin systems (opens in a new tab)

  12. Engineering relativistic fermions in condensed matter systems

    … the nodal points may be shifted and induce a topological phase transition by an application of transverse uniform current in doped WSM. We analyze the topological phase diagram and find characteristic dips in the density of states which serve as a signature of the existence of nodal points, …

    uiuc Repository record for Engineering relativistic fermions in condensed matter systems (opens in a new tab)

  13. Interacting non-Abelian anyons in an exactly solvable lattice model

    … ground state space is given by a Berry phase, which under suitable conditions coincides with the statistics. By considering a range of finite size systems, we find a physical regime where the Berry phase gives the predicted statistics of the anoyonic vortices with high fidelity. Finally …

    whiterose Repository record for Interacting non-Abelian anyons in an exactly solvable lattice model (opens in a new tab)

  14. Entanglement, topology, & renormalization

    … of states. We begin this journey by focusing on topological quantum field theory in chapters 1 and 2. These chapters are based heavily upon the papers [1] and [2, 3], respectively. In the introduction to chapter 1 we take the opportunity to recall the definition of bipartite entanglement entropy …

    uiuc Repository record for Entanglement, topology, & renormalization (opens in a new tab)

  15. Applications of conformal field theories in topological phases of matter

    … of conformal field theories (CFTs) in topological phases of matter. The first part is devoted to a discussion of coupled wire constructions of some novel quantum Hall systems. Through a theoretical coupled wire model, we construct strongly correlated electronic integer quantum Hall …

    uiuc Repository record for Applications of conformal field theories in topological phases of matter (opens in a new tab)

  16. Numerical methods of characterizing symmetry protected topological states in one dimension

    … to study one dimensional symmetry protected topological (SPT) phases. We focus on the density matrix renormalization group (DMRG) methods and explore the machine learning methods. We investigated different SPT phases in the context of interactions and disorders. The application of machine …

    uiuc Repository record for Numerical methods of characterizing symmetry protected topological states in one dimension (opens in a new tab)

  17. Examining Topological Insulators and Topological Semimetals Using First Principles Calculations

    The importance and promise that topological materials hold has been recently underscored by the award of the Nobel Prize in Physics in 2016 ``for theoretical discoveries of topological phase transitions and topological phases of matter." This dissertation explores the novel qualities and useful …

    vt Repository record for Examining Topological Insulators and Topological Semimetals Using First Principles Calculations (opens in a new tab)

  18. Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter

    … in the quantum Hall effect. Majorana modes in topological superconductors are of fundamental importance as realizations of real solutions to the Dirac equation and for their anyonic exchange statistics. They are realised as zero energy edge modes in one-dimensional topological superconductors, …

    uiuc Repository record for Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter (opens in a new tab)

  19. Interfacial effects on the structure of thin metal films

    … such as stacking faults and electronic topological phase transitions due to the interfacial modulation. We report a study of Ag films grown on an array of atomic In chains on . Prior STM studies have suggested an array of stacking faults in the Ag films that allow the film lattice …

    uiuc Repository record for Interfacial effects on the structure of thin metal films (opens in a new tab)

  20. Strong-field Phenomena in Low-dimensional Materials at Terahertz Frequencies

    … in bulk forms, including the emergence of multi-phase landscapes, collective quantum effects, and topological orders. This dissertation explores strong-field phenomena in low-dimensional materials driven by strong-field pulsed excitation at THz frequencies. I first introduce the generation and …

    mit Repository record for Strong-field Phenomena in Low-dimensional Materials at Terahertz Frequencies (opens in a new tab)

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