Orientador: Antonio Carlos Ferreira Seridonio / Co-orientador: Ezequiel Costa Siqueira / Banca: Keizo Yukimitu / Banca: Leonardo Kleber Castelano / Resumo: De acordo com o Phys. Rev. B 84, 201308(R) (2011), um estado de Majorana isolado na borda de uma longa cadeia de Kitaev em sua fase topológica e conectado a um ponto quântico, resulta em uma transmitância robusta de 1/2 no valor zero da voltagem. Neste trabalho, nós mostramos que a remoção de tal marca pode ser alcançada utilizando uma superfície metálica hospedando dois átomos adsorvidos em um cenário onde ocorre uma quebra de simetria no efeito Fano de tal sistema, que é realizável acoplando-se a cadeia de Kitaev a um desses átomos adsorvidos. Assim, a fim de detectar essa característica experimentalmente, deve-se aplicar o seguinte procedimento de dois estágios: (i) primeiro, em relação aos átomos adsorvidos, é necessário fixar pontas de AFM em valores opostos de voltagem (separação simétrica dos níveis ") e medir, através de uma ponta de STM, a condutância para baixas voltagens; (ii) depois disso, a medida de condutância deve ser repetida com as voltagens invertidas. Para | "| longe do nível de energia de Fermi e para o caso de acoplamento forte entre a ponta de STM e o hospedeiro, esta estrutura revela na transmitância, uma anti-ressonância persistente localizada na voltagem zero e imune sob a permutação citada anteriormente, mas caracterizada por uma amplitude que flutua levemente ao redor de 1/2. Entretanto, no caso da ponta de STM atuando como uma sonda, o átomo adsorvido desacoplado da cadeia de Kitaev se torna completamente inerte e nenhuma flutuação é observada. Por consequência, a ponta de STM deve ser considerada no mesmo pé de igualdade com o sistema "hospedeiro+átomos adsorvidos". Como resultado, nós verificamos que apesar da pequena diferença entre essas duas anti-ressonâncias de Majorana, a transmitância de baixas voltagens como função da separação simétrica produz dois comportamentos distintos, na qual um deles não é predito segundo a ... / Abstract: According to the Phys. Rev. B 84, 201308(R) (2011), an isolated Majorana state bound to one edge of a long enough Kitaev chain in the topological phase and connected to a quantum dot, results in a robust transmittance of 1/2 at zero-bias. In this work, we show that the removal of such a hallmark can be achieved by using a metallic surface hosting two adatoms in a scenario where there is a lack of symmetry in the Fano effect, which is feasible by coupling the Kitaev chain to one of these adatoms. Thus in order to detect this feature experimentally, one should apply the following two-stage procedure: (i) first, attached to the adatoms, one has to lock AFM tips in opposite gate voltages (symmetric detuning of the levels ") and measure by an STM tip, the zero-bias conductance; (ii) thereafter, the measurement of the conductance is repeated with the gates swapped. For | "| away from the Fermi energy and in the case of strong coupling tip-host, this approach reveals in the transmittance, a persistent dip placed at zero-bias and immune to the aforementioned permutation, but characterized by an amplitude that fluctuates slightly around 1/2. However, in the case of a tip acting as a probe, the adatom decoupled from the Kitaev chain becomes completely inert and no fluctuation is observed. Therefore, the STM tip must be considered in the same footing as the "host+adatoms" system. As a result, we have found that despite the small difference between these two Majorana dips, the zero-bias transmittance as a function of the symmetric detuning yields two distinct behaviors, in which one of them is unpredictable by the standard Fano's theory. Therefore, to access such a non trivial pattern of Fano interference, the hypothesis of the STM tip acting as a probe should be discarded / Mestre

This dissertation analyzes and critiques Neil T. Anderson's approach to spiritual warfare, specifically in the context of evangelism and discipleship. It argues that while Anderson's understanding of spiritual warfare in evangelism and discipleship is generally orthodox, his approach to spiritual warfare in evangelism is invalid and his approach to spiritual warfare in discipleship demonstrates significant points of theological and practical concern. It also shows the lasting value of Anderson's works but also establishes needed correctives for future works on spiritual warfare in evangelism and discipleship. Chapter 1 introduces spiritual warfare and some of the major biblical, historical, and theological issues that are important in Anderson's approach to spiritual warfare. This chapter communicates the dissertation's thesis, modern day implications, analytical approach, and important connections in evangelism and discipleship. Chapter 2 focuses on describing the life, teachings, writings, and ministry of Anderson. The impact of both the writings and ministry are considered over the past two decades and a summary understanding of his spiritual warfare views are given. Chapter 3 lays an essential, yet focused, basis for understanding spiritual warfare. Relevant biblical passages, early church history practices, and theological categories are presented and examined in order to establish a reference point for analyzing Anderson's ministry approach to spiritual warfare. Chapter 4 explores some of the main criticisms of Anderson's writings, specifically considering David Powlison's

This dissertation provides a biblical analysis of McGavran's harvest theology principle as it relates to the relationship between faithfulness in the evangelistic task and actual numerical church growth. Chapter 1 introduces the problem and outlines the research method. Chapter 2 contains a detailed explanation of harvest theology as presented by McGavran in his published works. The chapter outlines the concept of harvest theology in terms of the role of gospel messengers, the importance of strategy and effective methods, and numerical results. Chapter 3 examines the biblical text to discover the role assigned to gospel messengers. The key question for this chapter is as follows: What role, biblically, do human agents play in the evangelistic task? The role of gospel messengers is examined in the teaching and ministry of Jesus in the gospels, the book of Acts, and the Pauline epistles. Chapter 4, examines the biblical text as it pertains to the use of strategy and methods in the evangelistic task. The key question for this chapter is as follows: What, if any, strategy or method is employed in the New Testament and for what purpose? In addition, this chapter examines the concept of "receptivity" as a factor in determining evangelistic strategy. The use of strategy and methods is examined in the ministries of the Twelve and of Paul. Chapter 5, examines those biblical texts that deal with numerical results and their relationship to evangelistic activity. The key question for this chapter is as follows: What does the New Testament say concerning numerical results? This chapter examines both the records of actual numerical results as well as how the New Testament writers view numerical results. The existence and attitude toward numerical results is examined in the Gospels, Acts, and the Pauline epistles. Chapter 6 serves as the summary and conclusion of the dissertation. This chapter summarizes the findings of the previous chapters and offer an analysis of harvest theology based on those findings. Additionally, this chapter offers a theological understanding of the relationship between faithfulness and church growth. Finally, the chapter offers implications of the research for contemporary ministry. / This item is only available to students and faculty of the Southern Baptist Theological Seminary. If you are not associated with SBTS, this dissertation may be purchased from <a href="http://disexpress.umi.com/dxweb">http://disexpress.umi.com/dxweb</a> or downloaded through ProQuest's Dissertation and Theses database if your institution subscribes to that service.

Orientador: Roberto de Almeida Prado / Banca: Marcos Tadeu de Oliveira Pimenta / Banca: Gastão de Almeida Braga / Resumo: O presente trabalho tem como objetivo principal estudar a densidade de estados para o modelo de Anderson discreto multidimensional. Tal modelo constitui uma família de operadores de Schrödinger aleatórios e ergódicos. Primeiramente estudamos propriedades espectrais, ergódicas e determinamos explicitamente o espectro do modelo de Anderson, o qual é um conjunto não aleatório q.t.p.. Abordamos também condições de fronteira simples, de Neumann e de Dirichlet para tais operadores atuando no espaço l2 restrito a cubos finitos. Em seguida discutimos a medida densidade de estados com duas abordagens diferentes e a sua conexão com o espectro do modelo de Anderson, mais geralmente com o espectro de um operador ergódico. Além disso, estudamos o fenômeno chamado Lifshitz tails para o modelo de Anderson discreto, que descreve o comportamento assintótico da densidade integrada de estados próximo ao ínfimo (ou supremo) do espectro. Por fim estudamos a subarmonicidade do expoente de Lyapunov, a fórmula de Thouless e a log- Hölder continuidade da densidade integrada de estados. / Abstract: The present work have as main objective to study the density of states for the discrete multidimensional Anderson model. Such model constitutes a family of ergodic and random Schrödinger operators. First we study ergodic and spectral properties, and explicitly determine the spectrum of the Anderson model, which is a non-random set almost surely. We also deal with simple boundary conditions, Neumann and Dirichlet for such operators acting in the space l 2 restricted to finite cubes. Later we discuss the density of state measure with two different approaches and the connection between the spectrum of an ergodic operator and this measure. In addition, we study the phenomenon called Lifshitz tails for the discrete Anderson model, which describes the asymptotic behavior of the integrated density of states near the infimum (or supreme) of the spectrum. Finally we study the subharmonicity of the Lyapunov exponent, Thouless formula and log-Hölder continuity of the integrated density of states. / Mestre

Estuda-se o Modelo de Anderson de uma Impureza (AIM), incorporando o termo de hopping correlacionado (AIMC). O modelo considera uma banda larga do substrato metálico e uma impureza, a última com o único orbital não degenerado (exceto por spin). A constante de aclopamento para o hopping correlacionado reduz a amplitude da hibridização quando o nível da impureza está ocupado. Estudam-se os efeitos da adição deste termo no AIM original, investiga-se a densidade de estados (DOS) e a susceptibilidade magnética. Utiliza-se um esquema de desacoplamento das funções de Green, equivalente a uma aproximação de campo médio efetivo, para estudar o AIMC. Alguns conceitos e técnicas são revisados e compara-se vários resultados conhecidos para o AIM (incluindo a solução exata para um caso particular) com os resultados encontrados neste trabalho / We study the Anderson Model for one Imputity (AIM), incorporating the correlated hopping term (AIMC). The model considers a wide band metal substrate and one impurity, the latter with a single non degenerate spin. The correlated hopping coupling constant reduces the hybridization amplitude when the impurity level is occupied. We study the effects of adding this term to the original AIM, probing the impurity density of states (DOS) and the susceptibility. We use a decoupling Green´s function scheme, equivalent to an effective medium approach in order to study the AIMC. We review some of the concepts and techniques involved and compare several of the known results for the AIM (including an exact solution for a particular case) with our results

Calculamos a densidade espectral do modelo de Anderson de duas impurezas por meio de uma extensão do grupo de renormalização numérico (GRN) preservando a assimetria partícula-buraco do modelo. O estado fundamental deste modelo depende fortemente da competição entre a interação RKKY 1 e a temperatura de Kondo TK. Essa competição gera três regimes característicos: (i) 11\\ « k B TK, regime Kondo; (ii) - 1» kBTK, regime ferromagnético; and (iii) 1» kBTK, regime antiferromagnético. O Hamiltoniano é invariante sob inversão das coordenadas da impureza ± R/2. Seus auto-estados, portanto, podem ser classificados de acordo com a paridade. Calculamos as densidades espectrais par e ímpar para os parâmetros representativos do modelo em cada um dos três regimes mencionados acima. Várias características dos resultados numéricos, associadas com a formação de um tripleto ou singleto entre as impurezas e com o efeito Kondo, são discutidas. / We calculated the spectral density for the two-impurity Anderson model by means of an extension of the numerical renormalization-group (NRG) preserving the particle-hole asymmetry of the model. The ground state of this model depends strongly on the competition between the RKKY interaction I and the Kondo temperature TK. That competition generates three characteristic regimes: (i) 11\\« kBTK, Kondo regime; (ii) - I» kBTK, ferromagnetic regime; and (iii) I > > k B TK, antiferromagnetic regime. The Hamiltonian is invariant under inversion of the impurity coordinates ± R/2 . Its eigenstates can therefare be classified according to parity. We have calculated the even and odd spectral densities for model parameters representative of each of the three above mentioned regimes. Various features af the numerical results, associated with the formation of an impurity singlet ar triplet and with the Kondo effect, are discussed.

We are interested in two probabilistic models of a process interacting with a random environment. Firstly, we consider the model of directed polymers in random environment. In this case, a polymer, represented as the path of a simple random walk on a lattice, interacts with an environment given by a collection of time-dependent random variables associated to the vertices. Under certain conditions, the system undergoes a phase transition from an entropy-dominated regime at high temperatures, to a localised regime at low temperatures. Our main result shows that at high temperatures, even though a central limit theorem holds, we can identify a set of paths constituting a vanishing fraction of all paths that supports the free energy. We compare the situation to a mean-field model defined on a regular tree, where we can also describe the situation at the critical temperature. Secondly, we consider the parabolic Anderson model, which is the Cauchy problem for the heat equation with a random potential. Our setting is continuous in time and discrete in space, and we focus on time-constant, independent and identically distributed potentials with polynomial tails at infinity. We are concerned with the long-term temporal dynamics of this system. Our main result is that the periods, in which the profile of the solutions remains nearly constant, are increasing linearly over time, a phenomenon known as ageing. We describe this phenomenon in the weak sense, by looking at the asymptotic probability of a change in a given time window, and in the strong sense, by identifying the almost sure upper envelope for the process of the time remaining until the next change of profile. We also prove functional scaling limit theorems for profile and growth rate of the solution of the parabolic Anderson model.

Li, Ying Wai = 安德森模型下量子相變的數值研究 / 李盈慧. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 69-72). / Text in English; abstracts in English and Chinese. / Li, Ying Wai = Andesen mo xing xia liang zi xiang bian de shu zhi yan jiu / Li, Yinghui. / Chapter 1 --- Review on Anderson Models and Quantum Phase Transitions --- p.1 / Chapter 1.1 --- The Anderson Impurity Model --- p.1 / Chapter 1.2 --- The Periodic Anderson Model --- p.2 / Chapter 1.3 --- Quantum Phase Transitions (QPTs) --- p.3 / Chapter 1.4 --- Motivation of this project --- p.4 / Chapter 2 --- Studies on the Ground State Energy of Periodic Anderson Model --- p.7 / Chapter 2.1 --- Background --- p.7 / Chapter 2.2 --- Hamiltonian and Physical Meanings of Lattice Anderson Model --- p.8 / Chapter 2.2.1 --- The first term: -t ´iσ （c+̐ưσci+lσ + h.c.) --- p.8 / Chapter 2.2.2 --- The second term: Ef´iσ̐ưfiσ --- p.9 / Chapter 2.2.3 --- The third term: V ´ ̐ưσ (c+iσ̐ư̐ưσ + h.c.) --- p.9 / Chapter 2.2.4 --- The fourth term: U ̐ưσ´ nfitnfi↓ --- p.9 / Chapter 2.2.5 --- The whole Hamiltonian --- p.10 / Chapter 2.3 --- Non-Interacting Case of Lattice Anderson Model --- p.10 / Chapter 2.3.1 --- The Hamiltonian in momentum space --- p.11 / Chapter 2.3.2 --- The conduction band eK --- p.12 / Chapter 2.3.3 --- The band energies ±K --- p.12 / Chapter 2.3.4 --- The energy band gap Δ --- p.14 / Chapter 2.3.5 --- Green's functions at finite temperature --- p.14 / Chapter 2.4 --- Perturbation in U for symmetric model --- p.16 / Chapter 2.4.1 --- Previous Results --- p.16 / Chapter 2.4.2 --- Ground state energy at finite temperature by time-dependent perturbation theory --- p.18 / Chapter 3 --- Numerical Integration using Wang-Landau Sampling --- p.22 / Chapter 3.1 --- Background --- p.22 / Chapter 3.2 --- Wang-Landau integration --- p.25 / Chapter 3.2.1 --- Description of the method --- p.25 / Chapter 3.2.2 --- Correspondence between Wang-Landau sampling for physical systems and Wang-Landau integration --- p.27 / Chapter 3.3 --- Results --- p.28 / Chapter 3.3.1 --- Application to one- and two-dimensional test integrals . --- p.28 / Chapter 3.3.2 --- An example of a potential application: Perturbative calculation of the lattice Anderson model --- p.31 / Chapter 3.3.3 --- Discussion and summary --- p.35 / Chapter 4 --- Studies on QPT of Anderson Impurity Model by Quantum Entanglement --- p.38 / Chapter 4.1 --- Background --- p.38 / Chapter 4.2 --- Formalism --- p.39 / Chapter 4.2.1 --- Hamiltonian --- p.39 / Chapter 4.2.2 --- Conditions Used in Our Study --- p.40 / Chapter 4.2.3 --- Quantifying Quantum Entanglement: Entropy and Concurrence --- p.41 / Chapter 4.3 --- Numerical Results --- p.45 / Chapter 4.3.1 --- Method --- p.45 / Chapter 4.3.2 --- Finite Size Effects of the Ground State Energy --- p.46 / Chapter 4.3.3 --- Finite Size Effects of the Von Neumann Entropy --- p.49 / Chapter 4.3.4 --- Finite Size Effects of the Fermionic Concurrence --- p.53 / Chapter 4.4 --- Summary --- p.58 / Chapter 5 --- Fidelity in Critical Phenomena --- p.59 / Chapter 5.1 --- Background --- p.59 / Chapter 5.2 --- Ground State Fidelity and Dynamic Structure Factor --- p.60 / Chapter 5.3 --- Mixed-state fidelity and thermal phase transitions --- p.63 / Chapter 5.4 --- Summary --- p.64 / Chapter 6 --- Conclusion --- p.66 / Bibliography --- p.69

Drawing on criminological history, visual studies, modernist scholarship, sociological treatises, and theories of archives and collection, this study proposes that literary texts of the early twentieth century approached the problem of knowing and representing others through collections. Inspired by the supposed divide between the city and the small town, modernist writers depict—but also resist—a vision of the group and the individual as inscrutable. The criminological apparatus of the turn of the century attends to both urban and provincial modes of existence, promising the small circles, close study of individuals, and knowability of the small town while also acceding to the urban vision of people in vast unknowable quantities and a perpetual psychic distance from others. Criminology was positioned, and positioned itself, as decidedly modern in its data-driven approach to managing the presumed unknowability of the individual and the group. The texts in this study continually grapple with accessing individual identity amidst the masses of modern humanity, and articulate this struggle through representation of small groups, circles, and coteries. It is through the enclosed set of people that Sherwood Anderson, Gertrude Stein, and Carl Van Vechten demonstrate a fixation on both the individual and the group, and the relationship between the two. Their literary output and personal associations—which center on observation, portraiture, and collection—are fundamentally criminological in their efforts to negotiate the distance and intimacy of modern life.

Zugl.: Münster (Westfalen), Univ., Diss., 2003